Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y = r2, y = 8- r² and to the right of a = 0.5 about the y-axis. V

Q: For the function f(x) given below, evaluate lim f(z) and lim f(r). f(z) = 6r 673

A:

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

A:

Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

Q: 1/ |x - 1 x2 + 4x - 5 2/ -3|x - 1|-6= 3 3/31x+ 리+6<15

A:

Q: Select ALL statements true about the function whose graph is shown below. A. The function is defined...

A: The limit of the function at a point 'a' in its domain is the value of the function approaches as it...

Q: 2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

A:

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: Given function,f(x)=9x3+10x+6 between -1 and 0Therefore ,f(-1)=9(-1)3+10(-1)+6f(-1)=9(-1)-10+6f(-1)=...

Q: 7. Consider the region above the x-axis and below y = e» with x > 1, shown below. 4 Consider a wiza...

A:

Q: 5х —7 (х — 3)°

A:

Q: Sx+1)(3x – 2) dx

A: Evaluate , ∫x+13x-2dx=?

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A:

Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: Evaluate the following integral. dx x2 + 8 +8 Since the integral is not finite, the series is diverg...

A:

Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

A:

Q: 2 ,0, 33 2 53

A:

Q: cOS X -dx | sin? x

A:

Q: A volume is described as follows: 1. the base is the region bounded by æ = - y? + 10y + 95 and æ = y...

A:

Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

A:

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

A:

Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

A:

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show you...

A:

Q: Vx+I dx. Vx +1

A:

Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: Q2 (10 M)/ Are the following functions analytic? (a)f(z) = sin(z) (b) f(z) = Re(z) –i Im(z) %3D %3D

A:

Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

A:

Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

A:

Q: Determine if the given function is continuous on each of the given intervals. Show complete solution...

A: Given function f(x)=3x3+4x2-x+6

Q: ". standard deviation is always positive

A:

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=x+9x+3,  x&gt;-3, a=2

Q: In Exercises 47–54, find the reference angle 0'. Sketch 0 in standard position and label 0'. 48. 0 =...

A: Given that: 48. θ=309°50. θ=-215°

Q: Sove the differential equations ( 6x-3y+2) dx = (2x-y-1)dy when x=2, y xp z+ he-x9)

A:

Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below

Q: Draw the graph of the following functions and give the domain  and range of each.

A:

Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

A:

Q: 1 -3 - 2 Let A= - 2 2 and b = b2 Show that the equation Ax = b does not have a solution for all poss...

A:

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2x Calcula...

A:

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: 11 3Va + ædx 3

A:

Q: Find the solution for Bernoulli equation below. dy y ху? dx

A:

Q: Find the volume formed by rotating the region enclosed by: x = 7.8y and y = x with y > 0 about the y...

A:

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

A:

Q: Given the following non-homogeneous system of first-order linear differential equation: v = 5 y, + 3...

A:

Q: se at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative S(x, y) = In (x...

A: Given:- f(x, y) = ln(xy) , x=3r+5s , y=2r+9s  To find:- By using chain rule to evaluate the partial ...

Q: Given: G(x) = [x] + [4 – x]. Determine lim G(x). x-3

A: We will find the limit of the given function.Below find the solution in the image.

Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

A:

Q: Solve the equation on the interval 0s0<2x. cos (30) = 1 What are the solutions to cos (30) = 1 in th...

A:

Q: x+1 x-x-2

A: