21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

Q: Fill in the blank so that the resulting statement is true. If log 6(x + 4) = 2, then ______ = x +4.…

A:

Q: = Consider the integral f sin-¹x dx. If we let u = sin¯¹x and dv dx, the integral. can be written as…

A: Explained below

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: Find all the values of x such that the given series would converge. ∞ 7¹ (x-3)n n+ 3 n=1 Answer:

A: Solution in step 2

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: The annual revenue and cost functions for a manufacturer of cat toys are approximately R(x) = 540x…

A:

Q: Find the average value of the function F(x,y) = x³ex++ the region 05x≤2 and 0≤ y ≤ x². over

A: Given problem:- Find the average value of the function F(x, y) = x3 exy +(y/x)2 +(y/x)  the region 0…

Q: เก 23 -5-4-3 5

A:

Q: x³ dx Using integration by parts to solve f √4- - 1x², and letting u = - then v = = f(x) is : ...

A:

Q: The velocity of a particle moving in a straight line is given by v(t) = t² + 4. (a) Find an…

A:

Q: Question 7 of 8 View Policies Current Attempt in Progress Find the limit. NOTE: Enter the answer…

A:

Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: r=3sin20 and r=2) a. Pick two points on the graph and find their tangent lines. b. Find an area that…

A:

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

A:

Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

A:

Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: we have to find the point (x, y)

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…

A:

Q: (4) When 2x³-px²+qx-1 is divided by (x-3) the remainder is 44. When it is divided by (x+2) the…

A: This is a problem related to division of polynomials. Based on the general formula and concept we…

Q: Find f'(1) given that f(x) ax+b cx+d' where a, b, c, d are constant.

A: we have to find derivative.

Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

A:

Q: Question 5 > The plot below represents the function f(x): 3 3-4-32 1 2 3 4 Evaluate f(-3): f(-3) -…

A:

Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

A:

Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 2 MECHI y=0 (Type your…

A: Use derivative for finding the equation of line .

Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

A:

Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

A: Given that the wheel complete one revolution in 8 minutes.

Q: Suppose you know that f(8) = - 1, f'(8) = 10. Find the equation of the line tangent to the graph of…

A:

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: What is the domain of the function in the graph? 20+8 18- +16+ 14 12 64506 10- 8 6. 47 08≤g≤14…

A: Domain is the values on x-axis for which graph is defined.

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: Round your answer to four decimal places, if necessary. Approximate the area under the curve on the…

A: We have to find the area by right endpoint rule.

Q: A bacteria population doubles every three hours. The initial population is 700. (a) Write a function…

A:

Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

A:

Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: Use the second derivative test to find the location of all local extrema in the interval G for the…

A: Given f(x)= -2ex/(-4x-1)= 2ex/(4x+1) So, f'(x)= [2ex(4x+1)-8ex]/(4x+1)2 To get local extrema we put…

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: - In(x - 2) + 3, X

A: answer is in next step

Q: The domain (over the real numbers) of the function f(x)=√42-19 is in the form of either (-∞, A] or…

A: Here we have to find the domain of the given function.

Q: olve the nonlinear inequality using the Number Line method and Interval Notation. Make sure to test…

A:

Q: Calculate the derivative. f(x) = (6e* - 7x²) (x³ + 1) (Use symbolic notation and fractions where…

A:

Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

A:

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given data÷

Q: To evaluate S (In x)² -dx, apply integration by parts twice. For the second application of…

A: Follow the procedure given below.

Q: For the function f(x) = 42² +5z, evaluate and simplify. f(x+h)-f(x) h ƒ(z) .

A: Given,  f(x)=4x2+5x

Q: Determine whether an exponential function, a logarithmic function, or a linear function is the best…

A: Given the query is to find the best fit function.