A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g.) W J a = 4 b = 4 c = 12 d = 4 +- am ↓ bm Cm

Q: xz Let the cost, in dollars, to make one unit of a product be C(x, y) = 40 + x² +25y-3xy, where x is…

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Q: For f(x) graphed below, for what values of x is the function continuous? -3 N -1 4 3 2 0 4 -2 -3 4 0…

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Q: Find T(t) and N(t) at the given point. r(t) = (t²-10)i + tj; t = 10 T(10) N(10)

A: Given that  And we have to find  and

Q: If limx→a f(x) = 3 and lim,→ g(x) = 2, then what is the value of lim (-3[ƒ(x)]²+49(x)) ? x→a -7 None…

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Q: What is the average rate of change of the function y = 30 10 20 None of these 5x² over the interval…

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Q: 7. If f(x)=√(1-1²)et² dt, on which interval is f decreasing?

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Q: A rectangular field is to be enclosed on four sides with a fence Fencing costs $2 per foot for two…

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Q: For the infinite sum-12, which statement is true? Σ •n=1_n²+1 n It is divegent using the Geometric…

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Q: A particle moves in a straight line and has acceleration given by a(t) = 6t+4. Its initial velocity…

A: Given : A particle moves in a straight line and has acceleration given by  a(t) = 6t + 4. initial…

Q: Find an equation for the inverse function. Then show that the two unctions are in fact inverses…

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Q: After a proper substitution, the integral becomes S of os,

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Q: The second derivative of g is g"(x) = 6x x = 2 is a critical number of g(x).

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Q: (a)! (t (5) Find the indefinite integral (a) √tan x sec²dx tan 2x sec² 2xdx (b) ſetan 2x s sin x 3…

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Q: The equation 4y2 +12y-9x2-15x + 45 = 0 can be changed into a vertex equation by completing the…

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Q: Question 8 a) Two variables, p and q, are connected by the formula p = 120e0.5g + 80 where q > 0. i)…

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Q: (b) In the year 2018, the population of Nevada was modeled by the function f(t) = 3.035(1.021).…

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Q: If limx→a f(x) = 3 and limã→a g(x) = 2, then what is the value of lim (-3[ƒ(x)]² +4g(x)) ? x→a -7…

A: Given To find:-

Q: Find the derivative of each function. a. f(x) = e³x f'(x) = b. f(x) = -8e³x f'(x) = c. f(x) =…

A: Using the rules of derivatives, we can solve the question.According to our guidelines, we can…

Q: If w= = 3/4x

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Q: An object moves along the x-axis according to the function (t) = t² - 2t. What is the instantaneous…

A: The position function of the object which is moving along the x -axis isFormula Used: To determine:…

Q: Determine the signs (positive, negative, or zero) of f(x) (shown in the graph) and ƒ'(x) and f''(x)…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x²…

A: The mean value theorem states that " If f(x) is  a fucntion that is continuous on [a,b] and…

Q: Consider the following initial value problem z" +52=0, 2(0)-6, z'(0)-5. (a) Using X for the Laplace…

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Q: (a) Water flows from a storage tank at a rate of 900-6t liters per minute. Find the amount of water…

A: Since you have asked multiple questions in a single request we will be answering only the first…

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Q: Is it possible to solve this question without graphing? Just pure algebra.

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Q: Consider the function f(x) = 8√x+5 on the interval [4, 8]. Find the average or mean slope of the…

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Q: Find the derivative of the function. g(u) = (5+u²)5 (7-5u²)8 g (u)

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Q: The cost function for a certain commodity is C(q) = 87 +0.179 -0.008q2 + 0.00089³. (a) Find C'(100).…

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Q: 3. Evaluate the following indefinite integrals. In each case a u-substitution plus an extra step is…

A: according to bartleby guide line we do only first part of multiple questions. we know,

Q: f(x): Find the function f(x) described by the given initial value problem. f'(x) = 8², f(2) = −4

A: To find the function  described by the initial value problem.,

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Q: Use cylindrical coordinates. Evaluate √x² + y² dv, where E is the region that lies inside the…

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Q: Find the critical point(s) for the function ƒ (x,y) = 6x² − 2x³ +3y² +6xy Classify each critical…

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Q: 1. Find the domain of the following function and describe the level curves in the domain: f(x,y) =…

A: The domain of the square root function is defined as:All non-negative real numbers.Therefore, the…

Q: Find the derivative of f(x) = x sin(x) + cos(x) + C to complete the following integration formula: S…

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Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

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Q: Find f if f"(t) = 2et + 3 sin(t), f(0) = -10, f(n) = -5. (Notice that they did not give you any…

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Q: Find the exact value of y, or state that y is undefined. y = sin-¹ (4) -1 000 undefined 0 4 Л

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Q: (6) Find the indefinite integral (a) √x²-3x x+1 -3x+2 (b)f -dx 12x³-22x 3x4-11x² +15 r²+2x+3 -dx

A: The given integrals are; a) (x2-3x+2)/(x+1)b) (12x3-22x)/(3x4-11x2+15)c) (x2+2x+3)/(x3+3x2+9x)…

Q: Here are the questions and answers from the textbook. I do not know how to use sigma notation to…

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Q: Suppose you go to a company that pays 0.04 for the first day, 0.08 for the second day, 0.16 for the…

A: Here we can clearly say that his wage is in Geometric  progression.The series isHere given that his…

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Q: Find the volume of the ellipsoid x² + y² +6₂²

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Q: 5. Consider the function f(x) = tan x, π/2<x<π/2. (a) Use the quotient rule to find an equation for…

A: Using application of derivatives, we can solve the question.

Q: Find the area between the parabolas x = y² and x = 2y - y²

A: To find the area between the parabolas  and .

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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