Find the area of the shaded region 10x) = 8x - 2x - x, g0x) = 0

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

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

Q: Find the coefficient of w2r?y'z? in (2w-z+3y- 2z+2)°.

A:

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that q : D → R is a function…

A:

Q: A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: Given t is the time in seconds, Let d be the directed distance from the hive in meters. According to…

Q: H.W: find the angle between the planes x + y = 1 and 2x + y- 2z = 2

A:

Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 8)

A: Here we have to evaluate        ∫c (2x-y)dx+(x+3y)dy

Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

A:

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

A:

Q: H.W: vectors u =-2i + 4 j – v5k and v = 2i – 4 j + /5k , find: 1. the vector proj,u 2. the scalar…

A: Given  u=-2i+4j-5k & v=2i-4j+5k

Q: b) Find the inflection points. 4. For the given function find the local extrema using the Second…

A:

Q: Use the formula k(t) %3D

A:

Q: Find the limit. lim (t i – 4 j + t k) lim (t i – 4 j+? k) i i+ i j+ i k

A: The given limit is; limt→9t i-4 j +t2 k

Q: Evaluate | (2x – y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (8, -5) -80

A:

Q: The half-life of a radioactive substance is 11 days. After 3 days a sample of the substance has been…

A:

Q: The derivative of p(t) = e'n(t)+4t² is given by which of the following? Op' (t) =D 글 + 8t Op'(t) =…

A: derivative of p(t) is p'(t)=ddtelnt+4t2

Q: Using any method, find the value of F. dr if F(x, y) = (8e" + 2ye") i+ (2e" + 8xe") j and C:r(t) =…

A: To find the given line integral.

Q: The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t)…

A: f'(t) > 0 imply function increase with time.  f"(t)< 0 imply function is concave downward

Q: Find the area of the region bounded by the curves x=y3 and y=x2.

A:

Q: Find f+ g, f- g, fg, and fig and their domains. F(x) = V15 - 2, g(x) = Vx+1 Find (F+ g)(x). Find the…

A:

Q: Use Green's Theorem to find the work done by the force field F(x, y) Vyi + Væj on a particle that…

A:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to (4, 8)

A:

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A:

Q: mZA = 70°, c= 26, a = 25 %3D %3D

A:

Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. If so, find a potential…

A:

Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A:

Q: %3D A business's marginal cost in dollars per unit, is given by CI(x) = 0.04r² +5 where I is the…

A: integration

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c.…

A:

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Solve the following

Q: Verify Green's Theorem by evaluating both integrals y² dx + x² dy = / dA дх ду for the given path.…

A: Here we have to verify the Green's theorem.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A:

Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: aph the function g(x) = x* + 2, if x < 1 Is the function continuous? Explain. x +2, if x 2 1

A:

Q: A2. (a) (i) Find the future value of £2000 when it grows at an annually compounded rate of 5% for 10…

A: To find the future value of £2000 when it grows at an annually compounded rate of 5% for 10 years.…

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A:

Q: |(sin5 (x)) dx

A: Given ∫sin5x dx

Q: Evaluate the integral of: * dx x2 – 2x + 50 -

A: Solution is done in step 2

Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

A:

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

A:

Q: 2 у2 | dxdy 1 у 2.

A:

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

A:

Q: Ex: Show that if v, u, w are any vectors, then (H.W.) ux (v x w) + v x (w x u) +w x (u x v) = 0.

A: Dot Product Property :- a.b = b.a = a*b*cosθ

Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

A:

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: if x 2 valuate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Solution of given question is written in below steps.