Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6, 5), v = (i + j)

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 8, (1, 4, 2) (b)…

A:

Q: 5. { xe*dx (1 + x32

A:

Q: In t dt 1. 1(9–In²r)*

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos“(x) for x = 0.125 and y =…

A:

Q: v (0) = 2, y(0) =

A:

Q: B) Use separation of variable or homogenous equation to get the general solution for each…

A:

Q: 2, |-7- 8X-xT

A: Let's find.

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) =- What is the value of C if x=12 and y=9 ?…

A:

Q: The integral expression J xsin (2x)dx can be evaluated using integration by parts of the form Judv =…

A:

Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

Q: 5. Find the general solution of the differential equation. Give your answer(s) in explic form. 9a2…

A: The given differential equation is  y'=9x2sqrt(y2-1)/y

Q: Problem 6 Given the series 5.+,25x + 125x + 625 x + a) For which values of x does the series…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate Jcot(2x)dx. (use radian form…

A:

Q: Consider the function f(x) x - 2x2 - 4x + 1 on the interval [-1, 3]. Find f'(x). F'(x) = 3x – 4x – 4…

A:

Q: dx S- xV x2 +4 Evaluate: 그yx2+4-4 + C A) x +4 +4 x² + 4 - 4 + C x2 + 4 +4 1 B 2 x² +4 – 2 + C x² + 4…

A:

Q: Convert the point (3,3 7) from polar coordinates to Cartesian coordinates. Give exact values. y =…

A:

Q: Find a general term (as a function of the variable n) for the sequence…

A:

Q: de Evaluate: x – a A f(x) = -3 ln (|1 – V|) + C B None of the given choices © f (2) = 3 ln (|1 – V|)…

A:

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some…

A: Mean Value Theorem:If the function g(x) obeys the following.  g(x)  is continuous on the closed…

Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

A: This is a problem related to integral. Based on the general formula we will answer the question. As…

Q: Q+5x)e dx

A: To evaluate the given integral.∫2+5x ex3 dx

Q: 2х + 1 The antiderivative of f (x): is (x – 3)? (x – 2) x - 2 A F (x) = 5 ln +C x – 3 x - 3 B None…

A:

Q: 00 1 Given the power series representation determine a power series representation for 1+ 7 n=0 In…

A:

Q: The integral of the right hand member of the first order LDE +2r cote = sin2 e is: de A sin*e +C 2 2…

A:

Q: 13. y" - y'- 12y = 0; y = Ae** + Be-3*

A:

Q: ai (9x" –10) where "a" is equal to The antiderivative of f (a) = 4V - is F (x) = 30 (A B None of the…

A:

Q: Determine the Average value of g(x)=-4x-3 over the interval (0,7)

A: See the details solution in below

Q: R is the region bounded by the given curves. R: y = х, у %3D 1, у-ахis %D Find I, R. (Assume a…

A:

Q: If an = cos () forn= 1, 2, ... , which of the following statements about an must be true? n=0 (A)…

A: Let's find.

Q: '9 – 4x2 - Evaluate: xp- 9 – 4x2 2r sin- () + C 2r 3 - A f (x) = B None of the given choices -1 f…

A: To solve the following integral problem

Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2×), Determine the value of C if x = 64 and y=…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x +1 The antiderivative of f(x) is (x – 3) (x – 2) A F (x) = 5 ln x – 3 + C x – 3 7 x - 2 B None of…

A: Here we have to find the antiderivative of the given function f(x).

Q: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

A:

Q: sec* ede tan 0+9 tan e

A: ∫sec2θ tan3θ +9 tanθ dθLet x=tan θ.=∫1x3+9xdx=∫19x-x9x2+9dx=∫19xdx-∫x9x2+9dx=19lnx-118lnx2+9Add a…

Q: Let be the antiderivative of X). Determine the value of C if X = 12 and y= 26. (use radian form of…

A: See the details solution in below

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = ". What is the value of C if x=14 and y=4 ?…

A: Given problem:- Let F(x,y) = C be the antiderivative of f(x) =(2-√(2x+1))/(3-2x) What is the value…

Q: Using the miscellaneous substitution 2=tan match the integral expression on the left to its…

A:

Q: Which of the following is true? A Jcos(3x)cos(4x)ax = [ cos(x) + cos(7x), 2 ® Jsin(3x)sin(4x)dx = […

A:

Q: 3. y = x2 + 5x and y = 3 – x -

A:

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

A:

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare A None 1- cos4x and…

A:

Q: dx Evaluate: xV x2 +4 Vx² +4 - 2 +C Vx² +4 +2 Vx²+4 - 2 ® zin x² + 4 +2) B + C None of the given…

A:

Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

Q: Which of the following is true? 10 @ Jsin*(x)cos°(x)dx = - cos (x) , cosº(x) cos(x) + C 4 10 (B) All…

A:

Q: dx Evaluate: x/9x2 + 4 /9x² + 4+ 2 Af (x) = -2 ln| +C 3x V9x² + 4 + 2 In В f (x) = - +C 3x f (x) =…

A:

Q: In solving for the antiderivative of f(x) = (9 – x2)3/2 using trigonometric substitution, is…

A: We need to find value of f(θ)

Q: A function and its graph are given. Use the second derivative to determine each of the following.…

A:

Q: 21.Which of the following is a particular solution to the differential equation when x = e and y =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Caso do Sin @ + Sino - 6 3人 da 7u -5 dn

A: Reupload other questions according to bartleby guidelines

Q: Find the center of mass of a plate with constant density d formed over the region bounded by y 16 –…

A: