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Find the Limt e tx-e when and when 2) Find the value Co) at 3) show...
(6 pts) Let f(x) = (x2 + 3x + 1)e-x. (a) (1 pt) Find f'(2) (b)...
(6 pts) Let f(x) = (x2 + 3x + 1)e-x. (a) (1 pt) Find f'(2) (b) (3 pts) Solve for the intervals of increase and decrease. Show your work. (c) (2 pts) Find any local maxima or minima, and where they occur.
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96...
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
Both please In Questions 6-9, let g) which yon may assiue is irnohucible in Zal drl where a, b, Let F Zaa Glr). (The typiral elet of Fcan be written as a tbuturde za and 2-1 + (g(z)) İs a root...
Both please
In Questions 6-9, let g) which yon may assiue is irnohucible in Zal drl where a, b, Let F Zaa Glr). (The typiral elet of Fcan be written as a tbuturde za and 2-1 + (g(z)) İs a root of g(r).) tu+c+d (undder mulriplication (6) 8. Caleulate()in F, or explain why this inverse does not exist. (8) 9. Find the miniu polyamial, h) in arl, of the element v in F. Show your work and explsin how yuu...
3. Let U-Bt- tB be Brownian bridge on [0, 1], where {BiJosesi is a Brownian process (i) Show E(Ut0 (ii) Show Cov(U,, Ut) s(1- t) for 0 s ts1. (ii) Let Xg(t)B Find functions g and h such that X, has t...
3. Let U-Bt- tB be Brownian bridge on [0, 1], where {BiJosesi is a Brownian process (i) Show E(Ut0 (ii) Show Cov(U,, Ut) s(1- t) for 0 s ts1. (ii) Let Xg(t)B Find functions g and h such that X, has the same covariance as a Brownian bridge.
3. Let U-Bt- tB be Brownian bridge on [0, 1], where {BiJosesi is a Brownian process (i) Show E(Ut0 (ii) Show Cov(U,, Ut) s(1- t) for 0 s ts1. (ii) Let Xg(t)B...
Normal No Spacing Heading 1 Heading 2 -A- Title Subtitle Subtle Emph Show all work and/or...
Normal No Spacing Heading 1 Heading 2 -A- Title Subtitle Subtle Emph Show all work and/or explain your thinking. If needed, round answers to 2 decimal places. D) For the function f(x)=x° +6x° +9x+3 find the information listed below. / a) Critical Values: b) Critical Points: c) Relative Maxima: Relative Minima: e) Horizontal Point of Inflection: ) All inflection points: 8) Increasing on the interval(s): h) Decreasing on the interval(s): i) Concave up on the interval(s): 1) Concave down on...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is para...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is parallel to y 0. re2y, find the normal line at 4. [4] Let (1,0). [0, 10] with f(0) f(10) 0 and 5. 5 Let f(a) be continuous and differentiable on f(5) 4. Mark TRUE or FALSE for the following statements and JUSTIFY. (No points will be given without the correct justification) (A) There is some c...
1. Let ab and f E C[a, b], and let E(0, ))- - (co +c)w(a) da for some weight function w(x) >0. (a) Use calculus to w...
1. Let ab and f E C[a, b], and let E(0, ))- - (co +c)w(a) da for some weight function w(x) >0. (a) Use calculus to write down a linear system for the critical point of E(co, c1). (b) Is the solution of this linear system the same as that of the normal equations arising from the use of Theorem 2 on page 395 to optimize co, ci under the norm 1/2 ? (c) Use your results to find the...
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all ...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are...
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the...
(6 pts) Let f(x) = (x2 + 3x + 1)e-x. (a) (1 pt) Find f'(2) (b) (3 pts) Solve for the intervals of increase and decrease. Show your work. (c) (2 pts) Find any local maxima or minima, and where they occur.
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
Both please
In Questions 6-9, let g) which yon may assiue is irnohucible in Zal drl where a, b, Let F Zaa Glr). (The typiral elet of Fcan be written as a tbuturde za and 2-1 + (g(z)) İs a root of g(r).) tu+c+d (undder mulriplication (6) 8. Caleulate()in F, or explain why this inverse does not exist. (8) 9. Find the miniu polyamial, h) in arl, of the element v in F. Show your work and explsin how yuu...
3. Let U-Bt- tB be Brownian bridge on [0, 1], where {BiJosesi is a Brownian process (i) Show E(Ut0 (ii) Show Cov(U,, Ut) s(1- t) for 0 s ts1. (ii) Let Xg(t)B Find functions g and h such that X, has the same covariance as a Brownian bridge.
3. Let U-Bt- tB be Brownian bridge on [0, 1], where {BiJosesi is a Brownian process (i) Show E(Ut0 (ii) Show Cov(U,, Ut) s(1- t) for 0 s ts1. (ii) Let Xg(t)B...
Normal No Spacing Heading 1 Heading 2 -A- Title Subtitle Subtle Emph Show all work and/or explain your thinking. If needed, round answers to 2 decimal places. D) For the function f(x)=x° +6x° +9x+3 find the information listed below. / a) Critical Values: b) Critical Points: c) Relative Maxima: Relative Minima: e) Horizontal Point of Inflection: ) All inflection points: 8) Increasing on the interval(s): h) Decreasing on the interval(s): i) Concave up on the interval(s): 1) Concave down on...
3. [10] (quadrifolium) Let (a2 + y2) = (2 -)2 be a curve. Find the points on the curve where the normal line is parallel to y 0. re2y, find the normal line at 4. [4] Let (1,0). [0, 10] with f(0) f(10) 0 and 5. 5 Let f(a) be continuous and differentiable on f(5) 4. Mark TRUE or FALSE for the following statements and JUSTIFY. (No points will be given without the correct justification) (A) There is some c...
1. Let ab and f E C[a, b], and let E(0, ))- - (co +c)w(a) da for some weight function w(x) >0. (a) Use calculus to write down a linear system for the critical point of E(co, c1). (b) Is the solution of this linear system the same as that of the normal equations arising from the use of Theorem 2 on page 395 to optimize co, ci under the norm 1/2 ? (c) Use your results to find the...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the...
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