8 2 √√8x |8x – x dx 0

Q: Give the standard equation of the circle satisfying the given conditions a.) Center 1,5 diameter 8…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: (c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4

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Q: 5e 42 sin(y), find a unit tangent vector to the level curve at the point component. Present your…

A: The function is  f(x, y)=-5e-4xsin(y)

Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: Consider the function below. x + 4 f(x) +4 (a) Find the exact value of the maximum of f. f(x): = X =…

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Q: Let and Compute B - A. e O b) O O 4 -5 -3 5 -9 7 -4 5 3 -5 9 -7 6 5 7 3 1 3 d) Not possible. 9 -5 -1…

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Q: Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²

A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.

Q: Find the maximum and minimum values of the function f(x, y) = e subject to x³ + y³ = 54 Please show…

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Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

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

Q: dx (6-x²)z 1.ſ. 3

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Q: b) Ln=1 Inn n2

A: Given query is to find series converges or diverges.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 17e^x…

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Q: The total cost (in dollars) of producing a coffee machines is C(x) = 2400 + 60x -0.2x². (A) Find the…

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Q: 26. tan ³0 sec ³0 de

A: Topic = Integration

Q: Let f(x,y) = 2x^2 + xy −y^2. Prove that the directional derivative of f(x,y) at point x = (3,−2) in…

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Q: Find the slope of the following lines.

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Q: 39. y = (cos x)*

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Q: Problem 2 Consider the function f(x) = x³ 4x² +10. Find the x- coordinates of the local extrema.…

A: We have given function  fx=x3-4x2+10 Derivative of the function is given as  f'x=ddxfx…

Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

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Q: f sec³3xcos3xdx

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Q: 21. lim 8118 2x5 - x x² + 3

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Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately q =…

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Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: Evaluate the integral 9 3 12 SS S 00 4y 9 3 12 SSS 0 0 4y (Type an exact answer.) 3 cos (x²) 4√2 3…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: The given region is:x=33y ,      x=0    and     y=2

Q: Suppose the derivative of f is given by f′(x) = (x −4)2(x +3)7(x −5)8 On which interval(s) is f…

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

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Q: 16 Let Find A-1, if it exists. a) O b) O A|- A10 ú A/w Alu o N/W N/W - alt AI AI A Alo Alto ú -4 -|-…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: Problem 6. that the pattern of the first few terms continues. (a) { 1 1, Find a formula for the…

A: Given Sequence :- (a) 1,13,15,17,19,....... (b) 2,-43,89,-1627,3281,.....

Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x<1kx=14-xx>1

Q: Evaluate f(x) = 3 sin x + 5 cos at x = π/3. 1. f(π/3) = 4 4√3 2. f(π/3) 3. f(π/3) 3√3 4. f(π/3) =…

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Q: Find f′(x) and simplify.   f(x)=6x5 (x 4 − 2)  F'(x)=.......?

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Q: (a) Prove that F(x, y, z) = (y² cos r+z³)i+(2y sin r-4)j+(3r2+2)k is a conservative vector field.…

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Q: The demand function for Wally Winka's Neverending Lollipops is given by p= (12-x)In(x + 7) where p…

A: Given  p=12-x lnx+7 is the demand function When x=6    p6=12-6 ln6+7           =6 ln13   Rate of…

Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…

Q: Find the area enclosed by the given curve and the y-axis x = t² - 5t y = √t 0 X

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Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Let [145 Find f(x) dx = 7, 13 + [1² f(x) dx = [ 11.5 and 11.5 $ 1.1³ 13 11.5 [ 7f(x) 6 dx = = f(x)…

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Q: Sin 0=4/5 Find a g 1/5 where 40 < x 180

A: sinθ=45⇒θ=arcsin45+2πn, θ=π-arcsin45+2πn⇒θ=53.13∘ +360∘ n, θ=126.87∘ +360∘ n

Q: Consider the following. 3(1 + 104x) = 8 (a) Find the exact solution of the exponential equation in…

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Q: §4.2 PROPERTIES OF POWER SERIES I Use the basic building block Σa, x< 1, together with th 1- x n=0…

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Q: = x³ +. 5. f(x) = 忘 3x = y + 4 = U x + 2y 6=0

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Q: Convert the general form to standard form of parabola

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