The figure below shows the derivative F'.If F(0) = 15,give (x, y)-coordinates of all local maxima and minima on 0

Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, note that any plane through the point P(14,-12,7) is of the form:…

Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: Vx* Show that for x > 1, coshx-(cosh 3x- sinh? 3r dx 3x) In(x+ Vx² (b) )= In(x+ Vx .2 +Vx -1

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Q: Solve the following differential equations using the method of undetermined coefficients. y" + 4y' +…

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Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: f(x,y)=20x+y

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

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Q: Given the region bounded by y=×^3 ,X = 2, and the x-axis (in Quadrant I) is rotated about the line y…

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Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: Find the area bounded by these curves. (All choices are in sq. units) y = x 4x +y = 12

A: Here, the is a line passing through the origin. And,  4x+y2=12⇒4x=-y2+12⇒x=-14(y-0)2+3 which is a…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. %3D…

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Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

Q: Find the sum of positive divisor  a)     40 425  b)       2 491

A: To find the sum of the positive divisor a)     40425 b)      2491

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

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Q: sin r da 4.

A: I am attaching image so that you understand each and every step.

Q: A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string…

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Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

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Q: Match the answers to its antiderivative. Antiderivative Answer A. J kda In(z) + C II. B. ['dr + C…

A: As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C…

Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: Y2 = Find the area bounded by these curves. (All choices are in sq. units) Y1 = Vx + 3 (x+3) Y2 = 2

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Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

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Q: Perpendicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Solution of question is written in below steps.

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: 72 (29.4) Determine whether the series (-1)" is absolutely convergent, condi- n2 + 1 n=1 tionally…

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Q: 1 (ii) (s+ 6)?

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Q: 7 If D is the region enclosed by y =-, x = 7, and y = 7x. Then %3D ly dA = 1386. D Select one: O…

A: Solution is given below

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 au. (v x w)| to determine…

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: A water pipe having a 2.88 cm inside diameter carries water into the basement of a house at a speed…

A: Here, the given radius of the first end is r1=2.882=1.44 cm Now, the speed at the first end is…

Q: 10 40 What does that mean 11 Suppose f(x)dx : f(x)dx is equal to? 10

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(4x) lim x-0 3x

A: Let's find.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: We need to find directional derivative.

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A: This is a problem related to differential equation by reduction of order concept. Please find the…

Q: (x² ln x dx

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Q: 0. 21XVX2 + 1 dx = 142 7, what is | 21uVu? + 1 du? Given that %3D 1

A: here just we put x =u so deside the function is odd or even so lets put u = -u 21(-u)(-u)2+1…

Q: Find the volume of the solid formed by revolving the region bounded by the curves x=2√y, y=0, and…

A: The graph is shown below, where the chex region represent the required volume to find.

Q: The function f(x) = x + eª has one real zero x0. In which of the following intervals must xo lie? А.…

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Q: Select an inequality relating e/x, and Vxecos (3z/x). evx < Vxecos (3z/x) e evx < < Vxecos (3z/x) e…

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Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: Yes,  you did not say what a is and what b is. Their values

A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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