Find y': y arcsin Oy =-- %3D Oy = - zV-9 %3D Oy = %3D zV-9 %3D -69

Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: We have to find maclaurian series

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

A: We need to show in this question whether the two integrals are equal or not

Q: Find V. (F x G), if F(x, y, z) = 10ci +j+13yk and G(x, y, z) = xi + yj – zk. V. (F × G) :

A: To solve the following problem

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = cot x, a = - Po(x)…

A: As we know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where centered at x=a.…

Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: Here, the given surface is  6x2+y2-3z2=4⇒f(x,y,z)=6x2+y2-3z2-4 Let, P(x0,y0,z0) be the point of…

Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

A:

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Solution:

Q: 2. C sin $ 2wcos° 2wcw 3. If f(x) = Vi19+r² dt , find f'(3).

A:

Q: 2. sin 2wcos 2wdw

A:

Q: Evaluate the line integral - -ydx + xdy along the curve C : y? = 3x from (3, 3) to (0,0). NOTE:…

A:

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: (b) Using the Power Rule for differentiation, find the derivatives for the following functions: (i)…

A:

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

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: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

A:

Q: In |V Vr+i-2 dt, if we let / Vr+1 - 2, then dt is equal to A 4x°dx None 2(x²+ 2)dx (4x³ + 2)dx E…

A:

Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

A:

Q: Find curl (7z i + 8x j+4y k).

A:

Q: Question 10 sinh a For y= V find y' at x = In2 e* Oy = 0 Oy = 12 Oy = 2/6 Oy =

A:

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

A:

Q: an +1 an +1 an + 1 Recall the Ratio Test which states that, if is a series with nonzero terms, and…

A:

Q: Your questions is to find the first and second derivatives in the given functions SHOW ALL OF YOUR…

A:

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

A:

Q: Given / f(x)dx = -3 and / g(x)dx = 6 , evaluate (a) / ise) – 59(=)|dz 1 *(x) + (e) [ 15(4) – o(=) +…

A:

Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

A:

Q: domain: vertical asymptotes l:  x= horizontal asymptotes: y=

A: Given query is to find vertical asymptots and horizontal asymptote.

Q: Solve y" – 2y = x²

A: We have to find the solution of the given differential equation.

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

A:

Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

A:

Q: Find V x (V x F) if F(x, y, z) = 6xyj+2xyz k. V × (V × F)

A:

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: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (9t + 4)i + tj, 0 sts1

A:

Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

A:

Q: x+dx Using trigonometric substitution, - (1+x²) = tan odo A sece sin*Ðd0 cose sec 8d0 tan 20 D None…

A:

Q: n(x) = -0.16(x – 92)+ + (x – 92) – 25.112 14 o(x) = -4.3 tan(0.3(x – 96.4))–29.3 15 p(x) = -1.4 log,…

A:

Q: 19 1(x) = -0.6(x – 267.05) + 12.34

A:

Q: EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x…

A:

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

A:

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

A:

Q: arcsin = ab' a? - Va? - y?; Find y!. Oy = 2abr(x+b) Va-y 1-y 2ab r Va- 1-y 2ab r/a-y H. 1-2ab z a- «…

A:

Q: V19+r* dt , find f'(C

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: L( +3x – 4)dx

A:

Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

A:

Q: lim 2?e --00 1- cos(2x) im

A:

Q: Determine if the function is a solution to the given differential equation. y = x In x + 6x + 5; y"…

A:

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.xr) tan(3x) ; y(7) = 3

A: