Find f, f, f,(2,1), and f,(4, - 4) for the following equation. f(x,y) = /x +y?

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: x(8x*-30x +5x-80) 14. S(x* – 3x³ + [? -2)dx | 40

A: Given : Let the missing value be A∫x4-3x3+A-2dx=x8x4-30x30+5x-8040+C   To Find : The value of A

Q: Can this still be simplified: 1006! 1005 x 21005 If not, will the equation be the same if I turn it…

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Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Given problem:-   Volume of Region bounded by y = x², x=0 and y=15, rotated about the y-axis

Q: You have $7000 to invest for seven years. Which investment will provide the greater return:  5%…

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Q: (c) Identify the critical numbers of f and the possible points of inflection of the graph of f.

A: To find the critical number and point of inflection of the graph of f.

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: Find the simplified form of the derivative of y = 1+csc 3x %3D cot 3x O y = 3 csc 3x csc(3r)-1 O (E)…

A: We have to find the simplified form of the derivative of  y = 1+csc 3xcot 3x.

Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

A: Given

Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

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Q: d dx

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Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: 9. f(x) = cOs x, a =

A: Follow the procedure given below.

Q: Show that y = e^2t is a solution of y’’’ - 2y’ - 4y = 0 (where ‘ denotes d/dt), and find the general…

A: We need to solve differential equation and show that y = e^2t is a solution.

Q: et +2e2t-et dt e2t +1 6.

A: Follow the procedure given below.

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

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Q: Determine the curl of the vector fields in Practice Exercise 3.6 and evaluate them at the specified…

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Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

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Q: Consider A = ⟨0, 4, 2⟩ ,B =, ⟨6,−1, 0⟩ and C = ⟨3, 0, 1⟩. (a) Find the unit vector having the same…

A: Given vectors A=0 , 4 , 2B=6 , -1 , 0C=3 , 0, 1

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: e following improper integral. If it converges, enter its value. Enter infinity if it diverges to…

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Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1) How…

A: This is a problem related to velocity and distance travelled by stone. Based on the newton's law of…

Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5)…

A: Given:  a)   The equation of surface is   F(x, y, z) = xyz – 10 = 0   given point =1,2,5 On…

Q: A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric…

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Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.

Q: 1 dx 5х e

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Q: dy Find . da Given: 3x?y + xy = sin (x + y). %3D dy %3D da 2 sin(z+y) cos(r+y)+3ry-ry 2ay? +3ry+2…

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Q: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

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Q: Test the series below for convergence using the Ratio Test. 0.7" n=1

A: Given,  ∑n=1∞n40.7n

Q: Question 6 Differentiate: arcsin () + arccos (2) = 1 + arccos () = 1 %3D O y/x O (E) None of these O…

A: Derivative dydx of sin-1xy+cos-1yx=1

Q: vith nonzero terms and let m Which is valid An converges absolutely. an converges absolutely an…

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Q: 4. x - 3

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: Find Duf at P. f(x, y, z) = 4x'y'z"; P(1, –2, 1); u = + %3D Duf i -Tem

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