Cohsider the set A illustrated on the number line below: -5 -4 -3 -2 -1 1 2 3 4 Which one of the following expressions is not equal to A?

Q: Sketch fully by finding all the necessary information given f(x), f' (x) and f"(x) 8х-32 16-8x f(x)…

A: Solve the following

Q: Suppose f( – 1) = 3, f'(– 1) = 6 , and g(æ) = x°f(x). The tangent line to g(x) at x = 1 is given by…

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: N(N+1) N(N+1)(2N+1) N (N+1)? Use linearity and the formulas Ej = E = and Σ"- to evaluate the sum. 4…

A: ∑j=0 46j(j-1)=∑j=0 46 j2-j=∑j=0 46 j2-j  =∑j=0 46 j2-∑j=0 46 j

Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: What is the total interest earned, including compound interest, if you left $500 in a savings…

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Q: For the function f, use composition of functiol 7f(x) + 7 Substitute f (x) = 6. 6. 7x-7 f(x) = 7x+…

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Q: 1) Are the following functions analytic? a) f(z) = z z b) f(z) = z + z?

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Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x53 about the x- axis is…

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Q: Integration by Parts (IBP) 1. Sx³e*/2dx 7/4 2. SR" x sin 2x dx

A:

Q: 1. A critical number of f′(x) is an inflection point of f(x). True or False 2. If the radius of a…

A: 1.A critical number of f′(x) is an inflection point of f(x).Answer:- True 2.If the radius of a…

Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

A: On solving this we will get

Q: Using EXCEL Solve the following system of linear equations by using a. Cramer's Rule. b. Inverse…

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Q: Determine the instantaneous velocity of the object when t = your answer. 3. Include units on

A: Instantaneous velocity involves derivative.

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Given, (x-2)/(x³+4x)

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 14, (1,…

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Q: 16 14 12 10 8. 6. 4. 6. A942

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Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: + 16)° dx

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

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Q: A rectangular parking lot with a perimeter of 520 feet is to have an area of at least 6200 square…

A: Given query is to find the boundary for the length.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x2 + 2x – 2) dx…

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Q: The value C for the solution of the initial value problem f'(x) = x³ – 7x + 3, given that f(0) = 0.…

A: Given problem:- The value C for the solution of the initial value problem f'(x) = x3 - 7x + 3, given…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Evaluate the integral. 1. (7 – 8v3 + 16v7) dv |

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

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Q: Find the angles of given that a = 30, b = 14, and c = 19. Round to the nearest tenth of a degree. B…

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Q: 2 x²e¬2® dx. Compute

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Given: As no method is mentioned, we will be answering by graphical method.

Q: Find the volume of the regular hexagonal pyramid shown below, and then answer the following…

A: We have to find the perimeter of the regular hexagonal base, the measure of the apothem of the…

Q: dz Find dt(t=1,s=0) when z = 2x3 + 15y3, where x = t2 - s and y =t+ 2s2

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Q: find the second derivative for the following parametric equation x = e-t y = te3t find the…

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Q: le“ + 4x° + 7 cos x + 2)dx O 4eª + x*+7 cos x + 2x + c r4 x* + cos x + 2+c - O 4e" + x* – 7 sin x +…

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Q: series onvergent, 8· 16 · 24 · (8n) .... n! n = 1 O absolutely convergent O conditionally convergent…

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Q: Solve: 3|x – 7| + 2 > 3 The answer has form: OA B Where A = and B =

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Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

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Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: Solve -8 sin(0)+3=4/3+3 over 0 <0< 2n. %3D

A:

Q: Use a calculator or computer to evaluate the definite integral. Round your answer to three decimal…

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Q: Find the vector component of v = (4, - 1, 7) along b = (1, 4, -8) and the vector component of v…

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Q: The entire graph of the function f is given below. Round your answer to the nearest integer, if…

A: Relative maxima is the largest point in interior of the domain.

Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

A: 4x2 -16x  &gt; 0 x(4x-16) &gt; 0 x &gt; 0    and 4x -16&gt; 0 x &gt; 0    and   x &gt; 4 so here…

Q: 2r? xp : Vi – 4x³

A: The objective of the question is evaluate the indefinite integral.

Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: We have to write the partial fraction of the rational expression:…

Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

A: Given query is to find the value of the integral.

Q: Find rye"ty dyda

A: