12. [*[*(v³² + y) dady

Q: a) fo f(x) dx d) f3f(x) dx b) √²³ƒf(x)dx c) ff(x) dx e) fºƒ(x)dx − [f(−ƒ(x))dx + f² ƒ(x)dx]

A: Note:- according to the company policy we can attempt maximum three subparts of a question so please…

Q: (17) Evaluate the following definite integrals: ³₂(x³ + x³)²dx ● ● sec(0) (sec (0) + 3 tan(0)) do •…

A:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: ?(x) = (x^2)−16 / (x^2)+2x−8 f(x) in lowest terms

A: Topic - functions

Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: 3

A:

Q: 13

A: We have to find out conservative or not

Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

A:

Q: Use a double angle identity to simplify the following expression. tan 16° 1- tan² 16°

A:

Q: Find [(1 - cos² t)dt]. dx A. sin²x B. -sin²x C. 1 - sin²x D. - cos²x

A:

Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 5 y(x) =.

A:

Q: Find cos(2A), if sin(A) = 45 53' and A is in quadrant 3.

A:

Q: For f(x) = (a) fog 9 x-7 and g(x)= (b) gof find the following composite functions and state the…

A:

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

A:

Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

A:

Q: MTH 32 (3) What is the Definite Integral of a function f from a to b?

A:

Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'

A:

Q: (27) Suppose that f is a continuous function on [-a, aj. If f is even on [-a.a] then fa f(x) dx = ●…

A: Topic = Integration

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. C the measure of the…

A:

Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

A:

Q: Simplify the expression: (1 + cos a)(1 — cos(-a)) O sin² a 2 cos a 1 + 2 cos a + sin² a sin a

A: We have to solve the expression

Q: The sequence {2} is defined by letting a₁ = 2 and successive terms are given by the recurrence…

A:

Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: 5. component of the acceleration. A particle moves with the position function r(t) =. Find the…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: Suppose that 0 is in standard position and the given point is on the terminal side on 8. Give the…

A:

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: We can solve the given problem by using the derivative rules.

Q: The trigonometric substitution x = = 3 sin 0 has led to the integral I = f tan³ 0 sec 0 de which can…

A: Topic:- application of integration and trigonometry ratios

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 12, (5, 3,…

A:

Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

A:

Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

A:

Q: 1) Find the general solution to the differential equation. (6 + x)y' = (x + 7)(y − 6) y =

A:

Q: i) etan-¹x 12 1 + x² dx ii) ii) sin sin5 x dx

A: Solve the following

Q: For each of the following differential equations, write the particular solution proposed according…

A:

Q: (4) Find the area of the region bounded by the curves y = sinx, y = cos I, I = T x = 3π/2. You will…

A:

Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

A:

Q: ind the zeros and determine the multiplicity f(x) = (2x + 1)3 (9x2 – 6x + 1)

A: In general, given the function, f(x), its zeros can be found by setting the function to zero. The…

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

A:

Q: Questions 6. W Use the following information to answer the next question Two functions are shown. y…

A:

Q: 6. next question Two functions are shown. y = f(z) is the function on the left and y=af[b(z-c)] +d…

A:

Q: The graph of the function fis shown on the right. a. Evaluate , f(x) dx. Let A (x) = f(t)dt. b. Find…

A:

Q: Evaluate the following iterated integral. ["""_p²sin(e) dp de de O 1872 3 O 872 3 T O 1090 7 I T

A: Evaluate the given integral which is in the form of spherical coordinate.

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

A:

Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

A:

Q: Find d y/dx Select the correct answer. 07 01 07 07 sint cost Int + 1 sint cost Int + t sint cost Int…

A:

Q: [xp(x)ƒ ƒ + xp((x)ƒ−),ƒ] – xp(x)ƒ‚ƒ (ª

A:

Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. 00 1 k=1 k3 - k+1

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…