Evaluate the definite integral. * (3 + 2x*)* d

Q: dx 7. J x3 Vx2-4

A:

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

A:

Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: Let f(T) 16 Using the definition of derivative at a point, f'(3) = lim f(x)- f(3) enter I - 3 the…

A:

Q: ASK YOUR TEACHE Find sets of parametric equations and symmetric equations of the line that passes…

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

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

A: In the given problem first we differentiate the product directly & then we use the formula for…

Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

A:

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

A:

Q: 5. S(-3 Vx- 6x Vx) dx

A:

Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

A:

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) = 5 sin (4x³) If…

A:

Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

A:

Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

A:

Q: 17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard…

A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

Q: Evaluate the indefinite integral. | x34 sin(x35) dx

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

A:

Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

A:

Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

A:

Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

A:

Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

A:

Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

A:

Q: The function f(x) is continuous everywhere. FALSE O TRUE 3.

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A:

Q: Given the price-supply function p = S(x) 10(e0.05z 1), find the average price (in dollars) over the…

A:

Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: 7ェ +8 If f(x) = find: 4x +3 f'(x) = !! f'(4) =

A: The objective is to find f'(x) and f'(4).

Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

A:

Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

A:

Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

A:

Q: (a) u v (b) n.n (c) v||? (d) (u v)v (e) u (3v)

A:

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

A:

Q: S(a – x)°dx

A: We need to integrate given function.

Q: Find the point that is 2/5 of the distance from C to D.

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

Q: 1. If f(x)=1/x, which of the following is the simplified form of the difference quotient? * -h -1…

A:

Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A:

Q: For the function f(r) = - 2x – 5x, f(r + h)- f(r) evaluate and simplify: h Find the value of the…

A:

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.