Use the function to find the image of v and the preimage of w. T(V,, V2) V2, 2v, v= (7, 7), w = (-7/2, 2, -20) 2. (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

A:

Q: -3

A: topic- definite integral

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A:

Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

A:

Q: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

A:

Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

A:

Q: 4. a = 20 m [W 30°S] b = 30 m [W 40°N]. Find a - b. %3D %3D

A: We need to find a-b.

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not…

A:

Q: 4. , kr+2{cd= -3

A:

Q: 1. If = (1.0.-3) and i = (6,-3,-4) compute ixw.

A:

Q: / (3Vi-1)dt is 3 -1 by the 2nd fundamental theorem of Calculus. The derivative with respect to x of…

A:

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: 4. The tens digit of a three-digit number exceeds the hundreds digit by the same amount that the…

A: Given: Let the three digit number be  'xyz'  where x is 100th digit, y is 10th digit and z is units…

Q: Can someone please double check my work for this problem? Thank you SO much!

A: Given problem:- Evaluate ∫c F. dr,where F=<x,y2>and C is the line segment from (-1, 5) to (0,…

Q: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

A: Given that $3000 is invested an account at interest rate r=0.035, compound continuously. we have to…

Q: If y= (x+1). sech (Inx) find dy ノ

A: Use the product rule and chain rule of derivative.

Q: need

A:

Q: 1.

A: Given,  ∫1+∞1xdx

Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

A:

Q: 2. A force of 5.0N is applied at the end of a lever that has a length of 2.0meters. If the force is…

A: We need to find the torque when we are given values of force  & length of liver and angle to the…

Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

A:

Q: e* dx V1-e2x

A: Topic = Integration

Q: 4x | 13- dx 3-4x -4x2

A: ∫4x−4x2−4x+3dx=4∫x−4x2−4x+3dx Rewrite x as x=x+12−12 and split the expression:…

Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

A:

Q: Q5. Kindly answer within 10 mins, thank you

A:

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: 10 8 10 f (x) dr=17 and f (x) dr = 12, then f (x) dx=5. A True B False

A: we use the properties of definite integral

Q: ph of the parabola to fill in the table. 10- (a) Does the parabola open upward or downward? O=0 6+…

A: Given query is to find characteristics of parabola.

Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

A:

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

A:

Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

A:

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

A:

Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A:

Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: Use the graph to complete the following.

A:

Q: Use the divergence theorem to compute sS Fonds, where n is irected ourword, FCX,YZ=-2xi +4yj-7zK.Ź…

A: Here's the solution... please have a look at it...

Q: -dx 23+1

A: Given :

Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

A:

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

A: We have to find if the given vector is unit vector or not.   According to our guidelines we can…

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: 1 The partial derivative of f(x, y, z) = Arctan with respect to z is xy? z³

A:

Q: 10 10 f (x) dr=17 and | f (x) dr=12, then f (x) dr=5. A) True B) False

A: Given query is to find statement true or false.

Q: Evaluate the following definite integrals. år 5.

A:

Q: The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

A:

Q: For what values of S is the solution space of the system given below the origin only, a line through…

A: In the given question we have to find the values of s for which the solution space passes from the…