b. lim x->0+ -3/x 2 X²

Q: Evaluate the definite integral. 16 (10y√y +9√y) dy 16 jo (10y√y +9√y) dy = (Simplify your answer.) 4

A:

Q: 4-3x Evaluate the equation f S dydz Select one: O a. 8/3 b. 8/9 O c. 6/5 O d. 2/9

A:

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: Given cost and price (demand) functions C(q) = 150q + 47,100 and p(q) = -2q +890, What price must…

A: This question is related to cost and price functions, we will solve it using given information.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Use the graph of the function y=f(x) below to answer the questions. 4+ 3+ 2+ -5 13 2 3 4 (a) Is…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 3. f(x)= x² + 3

A:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A:

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A:

Q: The power P in watts delivered to a small light bulb and R is its resistance in Ohms. The current is…

A:

Q: Let L(c) be the length of the parabola f(x)=x² from x = 0 to x=c, where c20 is a constant. a. Find…

A:

Q: For each graph, choose the function that best describes it. (a) (b) (Choose one) (Choose one) (C)…

A:

Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

A:

Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

A:

Q: 87元 6 2 23 4元 3 ✈0 江 11元 6

A:

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -21 1…

A:

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

A: In given problem since function f (x) = 5x+2 is defined only on [-1,5) i.e. 5 is not in the domain…

Q: Find the remainder term R, in the nth-order Taylor polynomial centered at a for the given function.…

A:

Q: Find the area of the surface obtained by rotating the curve }=2,3 from z = 0 to z = 1 about the…

A:

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: A right circular cone has a constant height of 10 m. Find the rate of change of its volume with…

A:

Q: 6. If fand g are two differentiable functions at x, then 7. The derivative of the identity function…

A:

Q: के For the function f(t, x) = sin(4xt +9x), find and da Əf 4x6x(4xt+9α) (Type an exact answer in…

A: topic- partial differentiation

Q: Evaluate the following integral, or state that it diverges. S8x² e-x³ dx Select the correct choice…

A: We have to find integral

Q: Find the differential dy: y = sin(x√³). Ody = COS cos (T√²³) [2√T™- 2 O 0 O (E) None of these…

A: A detailed solution is given below.

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

A:

Q: s, e -0.4 is

A:

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: Use the binomial theorem to expand the expression (u - 5v)¹

A:

Q: A balloon, leaving the ground 60 ft from an observer, rises 10 ft/s. How fast is the angle of…

A:

Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

A:

Q: Water running out a conical funnel at the rate of 1 cu. in per second. If the radius of the base of…

A:

Q: Solve the following equations: (D3³+ 3D²+ 3D + 2)y = 0

A:

Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: Find dy dx x = 4 + ² If y=1-t² and x=

A:

Q: Assume that x² + y² = 4xy. Then y' Select one: True False 2x-4 4+3y²*

A: Let's solve derivative of function  and maximum value of given function.

Q: p(5y-4) dy y³+ 4y²

A:

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: f(x)= 2x x²-4

A:

Q: 1. Find the area bounded by: x=y² and y=-x²

A:

Q: Determine the general solution of the Differential Equations using coefficient linear in two…

A:

Q: Find the length of the curve y = ln sin x from t = −2 to t = 0.

A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: Determine the indefinite integral. 25 dx x In 7x 25 S= Sx157x x In 7x dx =

A:

Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

A:

Q: f sin x ln(cos x) dx

A: Our Aim is to evaluate the integral given below:-∫sin (x) ln cos x dx -(i)

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

A:

Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g'(2)…

A: