8. Which of the following is the solution to the equation sin? x + 3sin x - 4 = 0 0° 90° + 360k 90° 0° + 360k

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (12,…

A:

Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.

Q: 37. Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 7, u'(2) = 4, v(2) =- 5…

A:

Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below

Q: D

A:

Q: Y = 1 - x², y = 2 + 2x, and y = 2– 2x

A: Let's find.

Q: Evaluate (x + 1)*dx = [(x+1)*dz + f{ (x + 1)*dx

A: Given Problem:- Evaluate ∫13x+12dx

Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

A:

Q: Find the derivative of the function y = xta{z) y =

A:

Q: R is the region bounded by the given curves. 1 R: y = X, y = 1, y-axis %3D Find I, Ry. (Assume a…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: La -x* + 2x - 1)dx

A:

Q: Activity 4: Let F be functions defined by the following. Find their derivatives then list down three…

A:

Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

A:

Q: For numbers 26-30,consider the graph at the right. 3+ -4 -3-2 -1 1 -2+ -3+ 26.What is the lim f(x)?…

A:

Q: Researchers have found a correlation between respiratory rate and body mass in the first three years…

A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

A:

Q: Question 21 Let us calculate uie area of the closed region bounded by y - 4y -x and y=x+4. The first…

A: The region bounded by the given curves is:

Q: In Exercises 31 and 32, find the unit vector having the same direction as V(P,P,). 31. P;(4,–1,–6);…

A: To find the unit vector that lies in the same direction as V.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: Problem #1:x =- Vy (y – 3); 1 <y< 9

A: Given:  x=13yy-3; 1≤y≤9 To Find:  a To graph the given curve.b To determine the arc length of the…

Q: Evaluate the integral. 5, sec 3x tan 3x dx sec $3x tan 3x dx =D

A: To evaluate: I=∫sec53x tan 3x dx=∫sec43x sec 3x tan 3x dx

Q: For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1,…

A:

Q: (6e + 6x°+ 4 cos a + 2)dx 6e + x° + c 4 cos a + 2x +

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: Let f(x) За? — Зх — 1. - f(x + h) – f(x) - Expand and simplify: h

A:

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A:

Q: For each function, determine the long run behavi x2 + 1 has | Select an answer x3 + 2 x° + 1 has…

A:

Q: Find the Maclaurin series of the function. x2 f(x) %3D 1- x7

A:

Q: Use the Laplace transform to solve the following initial value problem: y" + 4y/ + 29y = d(t – 5)…

A: Taking Laplace transform on both sides and solve it.

Q: x2 dy dx2 d²y dy + 2y = 5x° cos(x) 2x Jx - dr solve the equation by undetermined coefficients method

A:

Q: 15 The population of a district is 600 000 at the beginning of 2015. The population P(n) of the…

A: We need to find A,r and % increase.

Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take…

A:

Q: Find the equation of the tangent line at the given point on the following curve. 2. x+y 8, (-2,2)…

A:

Q: Question 16( Evaluate the definite integral, where Tis a even integer. * cos edr Blank 1:

A:

Q: Find the interval of convergence of Σ (х — 5)" In (8n) n=2 (Use symbolic notation and fractions…

A:

Q: The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: Given query is to find equation ifbthe tangent at given point.

Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

A:

Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

A:

Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Determine the area bounded by

A:

Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

A:

Q: Question 3 To solve the indefinite integral da we will use substitution method and let u = The…

A:

Q: Find the derivative of the function y = sin '(- (5x + 4)).

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

Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: To findL = limx→∞ln(x)x4

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: The demand equation for a certain product is 2p+3q = 1500, where p is the price per unit in dollars…

A: