For the linear transformation T: R2 → R2 given by a -b a A = b a find a and b such that T(3, 4) = (5, 0). (a, b) =

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

A:

Q: dx (х -1)3

A:

Q: 5. 7=-7ī -14]- 21k, p=(-4,8,12) 6. i = (5,0,-2). = (4,-7.10)

A: if  their dot product is  equal to zero then they are orthogonal

Q: Question 1 Find the centroid of the given region. y-2- A (8/23,76/111) B (5,15) (c (3/22,45/61)…

A: The expression for the centroid is: For the x coordinate of the centroid: x=1A∬xdydx  For the y…

Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

A:

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: 4. Use the definition of integration to find (1+2x' ) dx , that is find lim f(x; )Ax

A:

Q: Find the general solution 2x'y - (2x + y) = 0

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

A:

Q: Question 20 Evaluate the integral. TT/4 (8 cos ti +9 sin tj) dt -TT/4 O 9N2 i O &2 i+92 j O &V i

A: Topic = Integration

Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

A:

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

A:

Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

A:

Q: 4) Value of gold bar is V=2500 evt and interest rate r=0.07 please find the optimal value of t to…

A: We have to find the optimal value of t to maximize the present value.

Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax +b and g(x) = e3z-3) +c are…

A:

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V1, Vị + V2,…

A:

Q: I need help with 17

A: To find the 3rd degree Taylor polynomial T3x centered at a =2 for the function fx=ex5.

Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

A:

Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

A:

Q: 2. sin 2wcos 2wdw

A:

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

A:

Q: teger n is odd if and only if 3n + 1 is even.

A: Here I am providing my handwritten solution

Q: Solve the following differential equations of *ソ-2x 少 -x(x+)y %3D dx hel

A:

Q: 2) (-2)77"= 5h hzo

A:

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

A:

Q: .1//7 7 arccos x x² dx V1- x 1 –

A:

Q: Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by…

A: Explanation of the answer is as follows

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

A:

Q: (x) = V19+r dt , find f'(3)

A: Given query is to find indicated derivative.

Q: Kindly

A:

Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: Find the indefinite integral by using the substitution x = 8 tan(0). (Use C for the constant of…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: If y= (x+1). sech (Inx) find dy ノ

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

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

A:

Q: Find the surface area of the part of the cone x2 + y = z between the planes z = 3 and z = 8. Express…

A:

Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

A:

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

A:

Q: 4x d.x J V3 - 4x – 4x2

A:

Q: ) Syppose f and g are functions with continuous lerivatives, and that they satisty the following. S…

A: Let's find.

Q: 6. (ax3+ bx2+cx) dx= 2b | x2dx where a,b and c are constants. -9 A) True B False

A:

Q: Find the polar equution for the cartesian curve r=8 sin o Cos o r=8 sec e tan E r=8 sine tan E r=8…

A:

Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows

Q: C sin 2wcos 2wciwv

A:

Q: evaluate y" -2y' +5y=0 y(0) =1, y'(0)=3

A: Solve the following

Q: dr a 2 1 +3

A:

Q: 2 - x 3. Let f(x) = ! + In x. It is known that f'(x) 1 and f"(x) = x2 x3 (a) State the domain of f.…

A: