(b) 1 When is the velociy of the particle positive? [0,1) U (3,4] When is it negative? (1,3) When is the particle speeding up? When is it slowing down? Need Help? Read It

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: x + 2y- z = 3 and x + 3y+z= an be evaluated by the following triple ntegral: 1-x 2-т-Зу dz dy dx. 42…

A: We have to choose the correct option from the given options according to the given information

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 11 lim 3 + n-…

A:

Q: Which of the following evaluates the double integral xy dA,

A: We can solve this as follows:

Q: 31. Jul = 9.0 = 335°

A: Given query is to find the component of the the vector.

Q: u+ 2v = 1+ vw; wy, and vw.

A:

Q: T = i+ R+1 +1 1 N = i+

A: answer is in next step

Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: I am attaching image so that you understand each and every step.

Q: Question 1 Which of the following are subspaces of R ? Choose all correct answers. {(x, y, z) E R³ |…

A: Only option 1 and 3 are subspace of R^3

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A:

Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

A:

Q: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

A: answer is in next step

Q: X Sin(x?)dx evaluate the definite integral

A:

Q: The position of a particle in the xy-plane t time t is r(t) = (e') i+ i. Find an equation in x and y…

A:

Q: End P4)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

A:

Q: Solve the equation. Simplify your answer if possible. y-4 y y+9 +1 The solution set is

A:

Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Explanation of the answer is as follows

Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

A:

Q: Se dt

A:

Q: Sx(x² – 3)11 dx

A:

Q: S sin°x cos³x dx 1 2 1 sin'x +sin°x - sin'"x + C sin'a +sin'x +sin"x +c B 1 sin'

A:

Q: Use implicit differentiation to find dy/dx. 13) 2хy - у2 - 1 A) _ у -х B) X - y C)L X - y D) – y - x

A:

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

A:

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

A:

Q: Question 1 9- 4.22 Evaluate: (A) 9 – 4a² + 2 sin-' () +C f (x) : B 9- 4x2 – 2x sin f (x) = V9 – 4.x2…

A:

Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

A:

Q: 15

A:

Q: Rewrite the expression in terms of exponentials and simplify the results. 29) sinh (5 ln x) A) 2x B)

A:

Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

A:

Q: S tan? 3y sec® 3y dy 2 tan 3y + tan 3y + tan" 3y + C O A none of the choices 2 tan 3y + 1 tan" 3y +…

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

A:

Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

Q: Prove the identity. x2 - 1 tanh(In(x)) %3D x + 1 tanh(In(x)) %3D cosh(In(x)) eln(x) 2 -In(x) + e -1…

A:

Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

A:

Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

A:

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: 5xy = 4x²z – 3yz²; yx and yz.

A:

Q: 0. f"(x) = 12x; f(1) = 2 and f'(1) = -2 3. ((a)

A: Given query is to find the function.

Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

A:

Q: %3D variable expressions represent positive real numbers. Write logarit as a single logarithm with…

A: