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College Algo 6. Consider the function m(x) = (NOTE: Number lines are not to scale.) (a)...
solve by mathlab only For the function f(x) = x2 + 1 Find the equations of...
solve by mathlab only
For the function f(x) = x2 + 1 Find the equations of the two tangent lines at the points x = 0 and x = 1, respectively. b) Find the intersection point of the two tangent lines, if any.
Consider the function: f (x) = b - sin(x), where bis an arbitrary number. Are roots...
Consider the function: f (x) = b - sin(x), where bis an arbitrary number. Are roots always possible for any value of b? Yes No Consider the function: f (x) = a - tan(x), where a is an arbitrary number. Are roots always possible? True False
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or...
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or y= arctan x. Complete parts (a)-(d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions...
6) A College Algebra instructor assigned a different function to each of the following students and...
6) A College Algebra instructor assigned a different function to each of the following students and asked them to determine its domain, using only the given equation (Le. not a graph) Use the idea presented by each student to find the domain of each function. Write your answer in interval notation a) k(x)--1)(+2) b) w(x) -9-x "The stuff under the radical sign has to be 0 or bigger, so Ineed to figure out what values ofx make-9-x bigger than or...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any...
1. Consider the multi-variable function g(x, y) = x²y+ln(xy) – y3+V1 – 2-sin(my) (a) (4 marks)...
1. Consider the multi-variable function g(x, y) = x²y+ln(xy) – y3+V1 – 2-sin(my) (a) (4 marks) Answer the following questions regarding the domain of this func- tion. (i) If y>0 then what values of x (if any) are permitted? (ii) If y < 0 then what values of x (if any) are permitted? Your answer must include some justification of how you arrived at your con- clusion. Please upload these as ONE answer for question 1(a) but clearly label them...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mxb (1 mark) b. Using a scale 2 cm...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mxb (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f x)=x2-2x-3 for the domain-2<x<4 (6 marks) c. From the graph above determine I. II. The coordinates of the maximum or minimum point The roots of f(x)=x? –2x-3 (3 marks) By explanation or otherwise on the graph how do you...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f(x)=x2-2x-3 for the domain-2<x54 marks) (6 c. From the graph above determine 1. II. The coordinates of the maximum or minimum point The roots of f(x)=x² – 2x-3 (3 marks) By explanation or otherwise on the graph how do you...
2. The function f(SID) takes as an input the student ID number of a student in...
2. The function f(SID) takes as an input the student ID number of a student in this room, and returns his or her full name. Is f(SID) invertible? (That is, does it have an inverse function?) If so, what would this inverse function do? If not, why not? 3. The function (SID) takes a UC Merced student's ID number, and returns his or her height, to the nearest inch. Is h(SID) invertible? If so, what would this inverse function do?...
3) (Assessment Topic: Continuity) Consider the function sgn(x)- (a) What is the domain of sgn(x)?...
3) (Assessment Topic: Continuity) Consider the function sgn(x)- (a) What is the domain of sgn(x)? (b) Prove that lim sgn(x)メ1? (Hint : Use a contradictory argument in conjunction with the E-δ method.) (c) Show that for any two positive constants p > 0 and r > 0, where 0<p<r, that lim, ++ee)0, by finding For fixed number q > 1 define the function for each e > 0. (d) Show that lim,-0+ K(t)0. (Hint: Write out a few terms on...
solve by mathlab only
For the function f(x) = x2 + 1 Find the equations of the two tangent lines at the points x = 0 and x = 1, respectively. b) Find the intersection point of the two tangent lines, if any.
Consider the function: f (x) = b - sin(x), where bis an arbitrary number. Are roots always possible for any value of b? Yes No Consider the function: f (x) = a - tan(x), where a is an arbitrary number. Are roots always possible? True False
Write short answers. Consider the inverse tangent function, defined by y = tan - 4x, or y= arctan x. Complete parts (a)-(d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions...
6) A College Algebra instructor assigned a different function to each of the following students and asked them to determine its domain, using only the given equation (Le. not a graph) Use the idea presented by each student to find the domain of each function. Write your answer in interval notation a) k(x)--1)(+2) b) w(x) -9-x "The stuff under the radical sign has to be 0 or bigger, so Ineed to figure out what values ofx make-9-x bigger than or...
Consider the inverse cosine function, defined by y = cos º'xor y = arccos x. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any...
1. Consider the multi-variable function g(x, y) = x²y+ln(xy) – y3+V1 – 2-sin(my) (a) (4 marks) Answer the following questions regarding the domain of this func- tion. (i) If y>0 then what values of x (if any) are permitted? (ii) If y < 0 then what values of x (if any) are permitted? Your answer must include some justification of how you arrived at your con- clusion. Please upload these as ONE answer for question 1(a) but clearly label them...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mxb (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f x)=x2-2x-3 for the domain-2<x<4 (6 marks) c. From the graph above determine I. II. The coordinates of the maximum or minimum point The roots of f(x)=x? –2x-3 (3 marks) By explanation or otherwise on the graph how do you...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f(x)=x2-2x-3 for the domain-2<x54 marks) (6 c. From the graph above determine 1. II. The coordinates of the maximum or minimum point The roots of f(x)=x² – 2x-3 (3 marks) By explanation or otherwise on the graph how do you...
2. The function f(SID) takes as an input the student ID number of a student in this room, and returns his or her full name. Is f(SID) invertible? (That is, does it have an inverse function?) If so, what would this inverse function do? If not, why not? 3. The function (SID) takes a UC Merced student's ID number, and returns his or her height, to the nearest inch. Is h(SID) invertible? If so, what would this inverse function do?...
3) (Assessment Topic: Continuity) Consider the function sgn(x)- (a) What is the domain of sgn(x)? (b) Prove that lim sgn(x)メ1? (Hint : Use a contradictory argument in conjunction with the E-δ method.) (c) Show that for any two positive constants p > 0 and r > 0, where 0<p<r, that lim, ++ee)0, by finding For fixed number q > 1 define the function for each e > 0. (d) Show that lim,-0+ K(t)0. (Hint: Write out a few terms on...
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