Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector B equal to 90 degrees? Is this always the case or no?

Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

A:

Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: Using exact differential equation, determine the solution of

A:

Q: Determine whether the following converges or diverges. 2n + 1

A:

Q: +00 (4-х)^/п+5 4. Consider the power series 9n-7n n=1 а. Use Limit Comparison Test to show that the…

A:

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

A:

Q: Evaluate the integral 2x 4)

A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

A:

Q: Write the integral that would be used to find the volume of the solid generated when the region…

A: Given line 2x+y=6, That is y=-2x+6. x -intercept of line 3 y - intercept of line is 6 We know that…

Q: Use tabular method to evaluate ſ –2x³e¬5* dx -5x 1.

A: Let's find.

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: 3- Vn 3 n=1

A: Convergent

Q: find dy/dx. y= (cosx-pix)^(4x)^5

A:

Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: Let (x* + 5)' a Let [(x* +5) x*dx = 12116. Then the value of a is ...

A:

Q: x* Find the exact length of the curve y =- 1 2<x<4.Show All Work and Give Answer In Simplest Form.…

A: We have to find length of a curve for the given interval.

Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If the…

A:

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

A:

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: x- 2 7) dx =

A: integration

Q: f(x) = 2"[In(cot(x³))]5

A:

Q: I. Evaluate the following integrals. 1 1. d.x " J r(9 – In² r}5/2"

A:

Q: Look at the picture. The function f at the point x=0: (1) Limit exists (2) Continuous 3)…

A: A function f(x) is said to be continuous at x=0 iff limx-&gt;0 f(x)= f(0) A function f(x) is said to…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x4+y*=32…

A:

Q: х, x2, (2 – x, for x 1 Consider f (x) These following statements are true for f (x), except.... 1.…

A: We can solve as follows

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: 3 < x < 2/3 < x < 3/2

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

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

A:

Q: dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

A: Topic = Derivative

Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = . Find the 2x+7 consumer…

A:

Q: 1 1. d.x J #(9 – In² æ)5/2°

A:

Q: п(х — 2)" 3" (2n – 1)3* VI. Consider the power series > - n=1 a. Show that the power series…

A: The given series,    ∑n=1∞nx-2n3n2n-13

Q: If f(x)=2x²- xª, then f(x) has... Jika f(x)=2x²- xª , maka titik ekstrim relatifnya adalah.... 1. O…

A: f(x) = 2x2 - x4 we have to differentiate function and find points f'(x) = 4x -4x3 f'(x) = 0 4x -4x3…

Q: [ 3x3-2х2-4х-3 х2 (х2+x+1)

A:

Q: 4. E+sec"x+1\dx

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A:

Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

A:

Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

A:

Q: Determine whether the following series is convergent or divergent 3- Vn (a) 2 n=1

A: The given series is: ∑n=1∞3-n4n34,an=3-n4n34, n≥1f(x)=3-n4n34

Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: Third degree Maclaurin polynomial of a function f(x) is given by,…