5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about the line x = = 2.

Q: 1. The derivative of b** is 2. The derivative of is Inx

A:

Q: 1. 10. dx = %3D 11. S 8a da = 2. 2. 12. S dx 美 CX 3.

A:

Q: Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D...

A:

Q: 0.74-1 k-1

A:

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, -4, 2), and D(4, 1, –8). (a) Find the volume of ...

A:

Q: dx x4 V9 – x2

A:

Q: 4 5 -7 -6 -5 -4 3 -2 -1 0 1 2 --1- -2 --3 --4- --5- --6- [ Select ] a = b = [ [ Select ] [ Select ] ...

A: Topic:- geometry   

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: We have to find the two unit vectors.

Q: onsider the power series 2n + 1

A:

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exa...

A: We can find the area as below.

Q: A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a w...

A:

Q: Jo 17. cos² x sin? x dx

A:

Q: Find the domain and range of the function graphed below. 5- 2 -5 4 -3 -2 I234 5 2 -4 -5- Domain: Ran...

A: From the given graph we can see that the given function exists for x belongs to [-1 , 2)  

Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

A:

Q: 3z +2 Find the inverse of f(z) 2z +5 g(2) = %3D

A:

Q: 3. у?dx + (x2+ 3ху + 4у?)dy %3D 0; when x —D 2, у %3D 1

A: Explanation of the answer is as follows

Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

A: We have to find the dimensions of the given window.   According to our guidelines we can solve only ...

Q: Question 3 Find the center and radius of the circle whose equation ís z² + 4z + y² – 1 = 0. The cent...

A:

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

A:

Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four ...

A:

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

Q: {(-1)"nl° Зп — 1 {an}=1 00 n=1 8

A:

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

A:

Q: Use the graph of z = f(x, y) to determine the sign of each partial derivative of f at the point P. O...

A: Given query is to find the sign of the derivative.  

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explanation of the answer is as follows

Q: sin 0 Cos O tan 0 Csc 0 sec O

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

A:

Q: |. Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: Taylor's Series of f(x) about 'a' :     f(x) ≈ f(a) +f'(a)(x-a)+f''(a)2!(x-a)2 +f'''(a)3!(x-a)3+... ...

Q: 1. Use the e - d definition of the limit to show the following: (a) lim(5x – 2) = 3 エ→1 (b) lim Vr =...

A: The objective is to use definition of limit to prove the above question.

Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: Using the function g (x) = 2x + 5x + 6, fill in the blank. The instantaneous rate of change of g (x)...

A:

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x – axis and the parabola x2 –...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(3) and F(7) 3+ 2- ...

A:

Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: Which of the following is the derivative of f (x) = 6/a O r(2) f' (x) = %3D 3 f' (æ) = %3D O f' (x) ...

A:

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit ...

A:

Q: 2. 3. 4 了- dx

A:

Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

A:

Q: Sketch the region enclosed by the curves and find its area. y = cos 8x, y 0, x = 16' 8. NOTE: Enter ...

A:

Q: Q1: Answer A OR B A - Evaluate the following integral. e2x cos3x dx

A: let I=∫e2xcos(3x) dxlet  u= cos(3x) ,  v =e2x I= ∫cos(3x) e2x dx∫cos(3x) e2x dx= cos(3x)e2x2+∫3sin(3...

Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: We can find the integration as below using standard formula.

Q: Consider the initial value problem y = sin(at), y(4) = 1 Use Euler's Method with five steps to appro...

A:

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: A mineral deposit along a strip of length 1 cm has density s(z) 0.08r(1 -) g/cm for 0 <z <1. Calcula...

A: Given problem:- A mineral deposit along a strip of length 1 cm has density s(x) = 0.08x(1-x) g/cm fo...