Find the derivative/s of the given item. Final answer should be simplified. dy Find dx if yvx – 8 = xy + 2

Q: 1 Given the function g(a, b) = suppose m = g(a, b) where a2b+b a = cd b = c3 + 6d The task is to use…

A: Given problem:-

Q: . Evaluate the integral. Shade the region whose net area you have found. 3 Ax) S(-x+3x* + 1) dx =

A: Given problem:-

Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

A:

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

A:

Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

A:

Q: 3. 2+ 1+ +++ ++ + 2m -2m

A: Answer : y=5sin(x/3)

Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: The given function is; f(x)=tan(3x).

Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

A:

Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: If u + v + w = 0 and Ju = 3, |v = 5, |w| = 7 then the angle between u and v is O 21 3 O 5n 3 O None…

A:

Q: 2. Find the sum of the following convergent series. 3n+1 а. 6n-1 b. n=16

A: Given problem :- Find the sum of given convergent series

Q: 3- Vn 3 n=1

A: Convergent

Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

A:

Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

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 the sum of the following series. (– 4)" -1 6" n=1

A: To find the sum of ∑n=1∞ -4n-16n   ∑n=1∞ -4n-16n = -41-161+-42-162+-43-163+-44-164+....⇒∑n=1∞…

Q: Find the volume of the solid obtained by rotating the region bounded by the curve y= x+1, y= 0, x=…

A: Let's find.

Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

A:

Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

A:

Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

A:

Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

A:

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

A:

Q: - Evaluate the following integrals. 1 1. J x(9 – In² x}5/2 dx

A: To evaluate: ∫1x9-ln2x52dx Let, I = ∫1x9-ln2x52dx

Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: dr (1² + 1)²

A:

Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

A:

Q: x² dx J (² – 25)5/2

A:

Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: 4. Find the Laplace transforms of the functions: (a) f(t) = t² (b) f(t) = t – 2e3t

A: a) f(t)=t2b) f(t)=t-2e3t

Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A: 1)∑n=1∞ cos2πnan=cos2πnApplying series divergence test;limn→∞ cos2πnlimn→∞ cos2π∞=cos2(0)=1limn→∞=1…

Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: y = [Arcsec(tan r)]ecsc 2r SC

A:

Q: +oo (-1)"n" sin" () ' Σ 2n n=1

A: According to question,Given series,∑n=1+∞-1nnnsinn1n2n

Q: 2. Apply the eigenvalue method to find solve the initial value problem: (a) x = 3x, + 4x2 x = 3x, +…

A: Given a system of differential equation  x1'=3x1+4x2x2'=3x1+2x2x1(0)=x2(0)=1 As per our guideline,…

Q: (2 tan¯'n – T)

A:

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: ind the sum of the convergent series. +00 3n+1 Z 6n-1 n=0

A:

Q: A model created by an engineer is represented by the following multivariable functions w = reyz x =…

A:

Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

A:

Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A:

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

A:

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

A:

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

A:

Q: Given: y = (3)³ – 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State…

A:

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

A:

Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

A: