Compute Sex x + 2 dx (Hint: try graphing the function if you're having trouble. The...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
(c) [ (2–1x)dx $ 6+3) dx (d) Evaluate the given integrals by graphing the integrands and using well known area formulas
8. Given the graph of the function f, use area to compute f(x) dx. y y= f() 3 2 1 2 -1 4 ce
calculo 1- Given the function y = (4-x^2 ) + 4 * arcsen (x/2) Get dy/dx and its value for x 0 (this year is requested to find the value of the pending for the function given in Point X :0). 2- Is yarcta n ((x +3)/(1-3x) Find his derivative 3- Determine dy,/ dx and the value at the point (using implied derivation) 2x 2 y 2-3xy 1 0 3x2Уз + 3xy2 +1-6+,5 2xy + sen(y) # 2 6 Determine...
I am having trouble with #2 X() xy = 1, y=0, x = 1, x = 2, about 3 = -1. #2 Find the volume of the frustrum of a cone (i.e. the result of re- moving a smaller cone from the top of a larger cone) with height h, lower radius R and upper radius r. h R (Hint: Turn the cone on its side and draw a set of axes with the x axis piercing the centre of...
(d) Compute 2m f(x) sin(3cr)d (Hint: Recall that sin2(2nnx/a)dx = f 2(2nnx/a)dx = £] COS' (d) Compute 2m f(x) sin(3cr)d (Hint: Recall that sin2(2nnx/a)dx = f 2(2nnx/a)dx = £] COS'
I am having trouble with part b. Please explain. (2) Let Y be a linear function of X, ie. Y lo +biX where bo and bi are fixed real numbers. We want to minimize the discrepancy of Y from Y, i.e. minimizing the quantity (a) Find the valucs of bo and bi that minimizes Q (b) Use (a) to show that the minimal value of Q is 2 Cov2(x,y) Hint: You may use the fact that Q(bg, bị) E [(Y-Y*)2-Var...
im having trouble understanding limits (1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 -1 -2 Find the limit of f(x) as x -+0+ for ” does not exist” enter ” DNE” 79 79 99 for enter negative in finity” for ” +00” enter " positive in finity" (1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 1 2 3 4 -27...
Compute the followingelementaryintegrals.(a)dxxxxx3233/2[ 5 ](b)dxxx222[5](c)dxxsin3/0 Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1 [5] x3 sec?(x4 + 2) dx [4] (b) S (0) Lix - 1dx [6] Question 2 [20] Evaluate the following indefinite integrals. x2 dx [6] (b) f(x+1) tan-+ x dx [6] 10x (c) S x + 3)(x2 + 4x + 13) dx [8] Question 3 [15] (a) Find the area of the region bounded by the parabola x = y2 – 5 and the...
(-) Determine the approdato change of the area de a triangle. Aber where is the length of the triangle base and his the perpendicular height of the triangle (1) changes from (1012) to (10.5122) by using partial derivatives (1 marks) (b) Given a function z(x,y)=8y?+(x +2y2 + xy-10x-2y has a stationary point. Solve 2,2,,2,,2,, and Z. (10 marks) Determine the stationary point of z(x,y). (5 marks) BTB10203 Page 1 of 9 JANUARY 2020 CONFIDENTIAL Determine the type of the stationary...