QUESTION 15 Interpret the divergence of F(X,Y,Z) = (x2y.yz², zx²) at a point (1.-5,1).

Q: A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other…

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Q: Write an equation for the polynomial graphed below, in factored form. 5 4 3 W 2 1 -3 -2 -1 2 3 4 -2…

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Q: Find the value or values of c that satisfy the equation f(x) = 2x + 2 X f(b)-f(a) b-a C= = (Use a…

A: Given: fx=2x+2x , 16,6

Q: 4. The value of a timber forest after t years is V(t) = 4 maximized.

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Q: 1 √1-y² 84. :// -√1-y² (2x + 4x³) dx dy

A: To evaluate the following double integral.∫01∫-1-y21-y2 2x+4x3 dx dy

Q: 5. f'(x) does not exist for x = A. 1 only B. 1 and 2 C. 2 and 6 D. 0, 1, 2, and 6

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Q: Suppose the derivative of the function y=f(x) is y'=(x-4)²(x-2). At what points, if any, does the…

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Q: Write a polynomial with degree 4 that has a zero at x = 5 - i√√2, and a zero at x = multiplicity of…

A: Here we have to find the polynomial.

Q: -10 -8 -6 Answer: f(x) = -4 2 -200 160 120 80 40 -40 -80 -120 -160 -200 2 4 8 10 X Submit Answer…

A: Given query is to find the function of the graph.

Q: Find the curl of the vector field u = a) b) ▼xu =( V. (V x u) = = (7xyz², 6x² y³, 2x³ y³ z4 ).

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Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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Q: 1. Suppose f is differentiable everywhere, f(0) = -1/2, and f' is graphed below. 2- (a) Find all…

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Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

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Q: vinnnnn 2. Use sigma notation to write the Taylor series about Xo =1, for Inx.

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Q: show me steps on how to get the rational equation: x-int = -2/5, 1/3, y-int 4/15, Horizontal…

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Q: Determine if the series converges or diverges. k² 100 12t k k=1 (a) Converges (b) Diverges

A: Given query is to find limit converging or diverging.

Q: how can i find the inverse to a function

A: How to find the inverse to a function

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: Find the derivative of ?(?)=32?3+14?2+2?+1f(x)=32x3+14x2+2x+1 where ?=2x=2.

A: given f(x)=32x3+14x2+2x+1

Q: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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Q: 2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

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Q: If x < 1 (x2 + 1 x - 22 if x 2 1 (a) Find the following limits. (If an answer does not exist, enter…

A: We need to find out the limits.

Q: Differentiate a. Y = y the following 1 x² + x² +1 b. g(u) = √ 24 +√√√3u functions

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Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

A: As we know that for right angle triangle we have tanθ=HeightBase The above problem can be view as

Q: The graph of f' is given. Assume that f is continuous and determine the x-values corresponding to…

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Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

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Q: 13. After t weeks of practice, a typing student can type w(t) 100(1e-0.4t) words per minute. How…

A: Given query is to find the time when the typing speed will reach to 80 words per minute.

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4 3…

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Q: Given the function y = Select one alternative: dy dx dy dx dy dx dy f(g(x)) h(x) which of the…

A: Solve the given

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: lim(x,y) aproaches (0,0) (3x3y)/(x6+y2)

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Q: (b) lim ex xxx

A: Let's evaluate the given limit.

Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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Q: 9. Find the local quadratic approximation of f(x) = x³ at xo = 1, and use that approximation to find…

A: To find the local quadratic approximation of fx=x3 at x0=1, and by using that approximation to find…

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

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Q: Use the graph to complete the following. AAARIPASSANT UNO ARAS (a) Write the equations for all…

A: Need to find out asymptotes.

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: A function f(x) is continuous at x=a iff  limx-&gt;af(x)=f(a)

Q: cos(x) (a) lim x1 √√x-1 r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: For a small farm, the cost in dollars to produce x containers of ice cream is C(x) = 0.6x +14. The…

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

Q: An open-top box is to be made from a 32 in. by 22 in. piece of cardboard by removing a square from…

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Q: Which of the following is a normal vector to the plane which is parallel to vectors (0, −3, 1) and…

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Q: Given: (q is number of items) Demand function: d(q) = 317.4 Supply function: s(q) = 0.4q² Find the…

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Q: O x = 4 ve Find all points where the function is discontinuous. e

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Q: Consider the integral 9 -10 Lyde dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Write a polynomial with degree 4 that has a zero at x = 4i, and a zero at x = 2 with a multiplicity…

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Q: #solve the following lup x²=-2x-y Misob & chris y'= 6x-78 y (o) = 7 x(0)=3 Then find x(0.25) to at…

A: Given system x'=-2x-yy'=6x-7yand   givn condition x(0)=3  and   y(0)=7

Q: Prove the identity. (1+sin.x)² cos²x Note that each Statement must be based on a Rule chosen from…

A: CONCEPT USED Pythagorean trigonometric identities in trigonometry sin2x+cos2x=1socos2x=1-sin2x…