4. f cos? 2x 4. cos? 2x sin 2x dx 2 2 5. f sin¹¹ ²3x cos / x 3x dx

Q: Life Expectancy of a Female Suppose that in a certain country the life expectancy at birth of a…

A: In order to get g(t) integration need to be done.

Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: Determine the radius of convergence of the following power series. Then test the endpoints to…

A:

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A:

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: Find the volume of the solid generated when one arch of the curve y = sin x, from x = 0 to x = π, is…

A:

Q: rcosh z Let F(x)= 1. Find F(0). 2. Find F'(x). √√√x+1 sin(1 t) dt.

A:

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

A:

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

A:

Q: For each of the following equations, determine whether y = 8x Function Not a function y = 2x + 5…

A:

Q: Find the area of the triangle, to the nearest whole number, with a = 5, b = 6 and c = 9. 23 sq.…

A:

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

A:

Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Given :The sum of first number squared and second number is 51

Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: If f(x) = 4√x ln(x), find f'(x).

A:

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

A: The domain of a function  f(x) is the set of all possible values of x for which f is  defined. The…

Q: Given cost and revenue functions and C(q) = 117q+44000 and R(q) = -3q² + 2700q, how many items must…

A:

Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…

A: Let's find how many items must be the company produce and sell to break down.

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

A:

Q: If f(x) = exy, then f'(x) = yexy xexy-1 Select one: True False

A:

Q: 2X a) 12 S. Cos(スx) dydx

A:

Q: ow ow Ow For the functions w = xy + yz + xz, x=u+3v, y=u-3v, and zuv, express and using the chain…

A: This is a problem related to partial differentiation. Based on the chain rule we will provide the…

Q: Find the area of the surface obtained by rotating the curve y=1+3x² from x = 0 to x = 9 about the…

A:

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: Use substitution to find the indefinite integral. Spip +31' ep Spip +31% op

A:

Q: Consider the functions z= - e In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

A:

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: We have to find the rate of change of surface area.

Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

A:

Q: Find the length of the arc formed by ² = 10y³ from point A to point B, where A = (0,0) and B = (100,…

A: We can find the length of arc by applying length of arc formula.

Q: 222 = 456=_

A:

Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

A:

Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: on f(x)--(x + 1)(x - 1)²(x - 3)²

A:

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

A:

Q: Determine the center of mass for the region bounded by the following. Answer as a fraction…

A:

Q: Graph of f (10,-4) The function f(t) is defined on the interval [0,10]. The graph of f(t) consisting…

A: Solved below.

Q: 1. Evaluate the given double integral by first changing its order of integration ~1 •1-y2 ye(1-2)²…

A: Concept: Error function: The error function (also known as the Gauss error function) can be defined…

Q: 0 7 m We model pumping from spherical containers the way we do from other containers, with the axis…

A: To find the work done.

Q: € 4. If y=u² and u = x³ + 4 determine dx

A:

Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

A:

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

A:

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

A:

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

A:

Q: Find the area K of the triangle. K = square units (Round to two decimal places as needed.) C

A: Two sides a, b  and angle C of a triangle,  then area of a triangle is K=12absinC. From the given…

Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A:

Q: Sketch a graph and make a chart of a function f, that is continous on (-infinity, infinity) and…

A: answer is in next step