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Q: A tank is is half full of oil that has a density of 900 kg/m³. Find the work W required to pump the…

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Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

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Q: B a A b Use the right triangle and the given information to solve the triangle. a=2, c = 4; find b,…

A: Let's solve given triangle.

Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: Evaluate the integral S dx 25+225x²

A: Given, ∫125+225x2dx

Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function Values w = y³ - 7x²y x = e³, y = et…

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Q: Explain whether or not the Quotient Rule should be used to find the partial derivative. Do not…

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: To sketch the graph of the parameric curve ,first we find  x and y values corresponding to each t…

Q: An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment…

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

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Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x - 5x² and…

A: Given that equation of parabola y=4x-5x2let ,equation of line y=mx   where slope=m which is devide…

Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√y + 4y². (b) fxyx of the…

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Q: A population, P(t), of wild animals is growing proportionally to a function of the initial size, and…

A: What steps to find the size of the population after 5 years when size of population after 1 year is…

Q: Simplify t to approximate the sum of the area using right end points. j=1

A: Given :fx=2x+40, 2    n=4

Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: 2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We have to find the 10th term. The general term geometric progression is given by- an=a1rn-1

Q: 6. J 4 x4-1 -dx

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Q: Differentiate and simplify this function:  e√t^2+t+1 - e-√t^2+t+1

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Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

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Q: The Doyle Log Rule is one of several methods used to determine the lumber yield of a log (in…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: Find the principle unit normal vector to the curve given below at the specified point. r(t) =…

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Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: Integrate √² +25dx Select one: О А. O B. O C. 2 √z²+¹ +In\√X² +1+z] + C + In √X² +1+x+C +In\√X²…

A: Note: None of the given option is correct in this question.

Q: The angle of elevation of the Sun is 35.3° at the instant the shadow cast by an obelisk is 741 feet…

A: The given angle of elevation of the Sun is 35.3° at the instant the shadowcast by an obelisk is 741…

Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

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Q: Sketch the region enclosed by y = 3x and Y = find the area of the region. 2x². Decide whether to…

A: Given that y=3x and y=2x2To find : Area between the region.Solution :

Q: Answer the following True or False. 4ª + C In 4 faº f₁² da = True Faise

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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 the…

A: Let's find minimum cost and it's dimensions.

Q: Which of the rectangles below are both left and right rectangles? 10- 8- 6- 4- 2- 0- 0 8 CD 0000 05…

A: Rectangle which is both left and right rectangle is the rectangle which touches the function from…

Q: Alice is staying in a cottage along a beautiful and straight shoreline. A point on the shoreline is…

A: We have to find minimum time in hours.

Q: Work problem 30 Given the vector function 5 F(1) = (61³ – ¾, sec(4 − 1)), t then find the tangent…

A: Given :Ft=<6t3-5t, sec4-t>at t=4

Q: Sy²sin (2y) dy

A: Integration by parts.

Q: Find the first partial derivatives with respect to x, y, and z. 3xz x+y aw əx Əw ?у Əw əz || W = (No…

A: This question can be solved using the concept of partial derivatives.

Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: Find (1) the net area and (ii) the area of the region above the x-axis bounded by y=36-x². Graph the…

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Q: Given the function f(x, y)= xye+tan² esec2 y The second derivative fyy of f is equal to 0. Select…

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Q: 5. Use the definition of Taylor series to find the first four nonzero terms of the Taylor series for…

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Q: Find the critical value 5x+1/x

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Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: +5t, y=s - 5t, z = st² d aw/ot by using the appropriate Chain Rule. d aw/at by converting w to a…

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