Write ſſſ ƒ(x,y,x)dV as triple iterated integral in terms of x,y and z E z=1-x² y=1-x 1

Q: 15) Let f(x) = f In (t² – 5)dt. Find f'(x) and then also find f"(x).

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Q: - Consider the function f(x) = 12x5 + 45x4 – 80x³ + 1. For this function there are four important…

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Q: f(x) = √2ecos2x 1 determine f'(x). Fully simplify.

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Q: In polar coordinates, we have the unit vectors in the direction of and normal to as e, = cos 07 +…

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Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: fx,y=ln5+x2y2

Q: Determine the product of inertia with respect to the x and y axes for the area bound between the two…

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Q: 2. Part 2 - Find the error(s) and solve the problem correctly. Convert the polar equation to…

A: r=-4cosθ

Q: The area under the curve is also the ________________ of data between any two points.

A: The area under the curve is also the ________________ of data between any two points.

Q: Find the points at which the following function is discontinuous. 8x + 1 f(x) = 5x-8 6x²6 Select the…

A: The given function is f(x)=8x+1if x≤-35x-8if  -3<x≤36x2-6if x>3 Since polynomial functions are…

Q: find fx (x² + 1) dx ○ x² + 1/1/20 x² + c O ○x³ + x + 1 none of these answers can not be done

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Q: The population of a certain city was 27000, then 5 years later the pouplation was 45000. Write the…

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Q: Given the function of f(x)=9x^2+8x−3 on the interval [1,2], find a point c between 1 and 2 so that…

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Q: dªy dx = 12x+2 :y(2) = 28, y(2) = 5

A: We need to solve the following differential equation: d2ydx2=12x+2 ; y'(2)=28, y(2)=5 This can be…

Q: A tunnel cross section is formed by a rectangle 5m wide and 8m high with a rounded section at the…

A: Draw a schematic diagram of given figure.

Q: A 13-foot ladder rests against a vertical wall and the foot of the ladder is being pushed toward the…

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Q: 13. Let C be the curve with parametric equations 2=²+2 v=P²-1, 15152 Find the length of the curve C.…

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Q: Suppose that f(x, y) = e/ at which {(x, y) | 0 <≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double integral of…

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Q: Evaluate the limit. lim, 0 O 15 11 19 3 - 2/22 - 2/5 1 5+x X 1 5

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Q: 10+ 8 6 19 -6-5-4-3 -2 -1 ܝܪ --4- 9 The function graphed above is: Concave up on the interval(s)…

A: To determine interval where the given function is  Concave up Concave down  And also find point of…

Q: 17 What is the value of the expression ? ΣΑ A B n D 1.377 1.785 15,606 23.409

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Q: Let {an} be the recursively-defined sequence where 7n²+ n-3 a₁ = 4 and an+1 = Determine whether the…

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

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Q: Find the curvature of the curve r(t). r(t) = (6t +9)i - 6j + (9- 3t²)k

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Q: rmine the x-coordinates of any vertical asymptotes or removable discontinuities for the following…

A: fx=x-12x-32x-42x+53x-42x+14x-23

Q: Suppose that f(x, y) = 4x +9y at which {(x, y) | -5 ≤ x ≤ 2, -5 ≤ y ≤ 2}. D Q Then the double…

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Q: What is the general formula for the th term of the sequence-4, 1, 8, 17, 28,...

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Q: Simplify f(x) = f'(x)= = (1³2²) ² f(x)= Use this result to find the derviative of f(x).

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Q: y=5x².Inx

A: Given data:- y=5x2.lnx

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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Q: What is the minimum order of the Taylor polynomial centered at 0 for cos x required to approximate…

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Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

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Q: Use the graph below to fill in the missing values. -1 2 + f(0) f(x)=0 x = f(0) = f-¹(x)=0x=

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Q: 8 n = 1 2n +7" 14"

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Q: 8. Sketch the Domain of ƒ (x, y) = ln (1 — x² − y²). f

A: The argument of natural log function is always positive. i.e., The natural logarithmic function is…

Q: Solve triangle ABC. (Round the length to three decimal places and the angles to one decimal place.)…

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Q: 2x² Find the absolute maximum and absolute minimum of the function f(x) = = 5 Provide your answer…

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Q: Solve this linear programming problem using graphical methods. Restrict x ≥ 0 and y ≥ 0. Maximize f…

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Q: Evaluate y ds, C: x = t², y=t, -5 < t < 4 C

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Q: Use the like-bases property and exponents to solve the equation 2n+1 2³n-3 n = =

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Q: Solve for x: 53x+6 X = = 625

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Q: Evaluate 1) Sin ¹ (1 a) cos`' (-1) 3) cos( tan`¹ (13 Sin (1/ กาก

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

A: Given, the graph of f'(x).

Q: (b) 1 x²√√²-25 dx, x> 5.

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Q: Y=x2ex-4  dy/dx= 2xex-4+x2ex-4 find the evaluation of the normal to the curve at the point where…

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Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

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Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: Evaluate the limit. limx→-1 f(x), f(x) = O-8 0-9 O 4 Does not exist. x²2 - 6x 10,x ≤ −1 X {₁ -2,x>-1

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Q: Find all functions f(t) with the following property. f(t) = f'(t) = t 7

A: given,  f'(t)=t76

Q: Find the surface area of the part of the plane z = 5 + 4x + 2y that lies inside the cylinder x² + y²…

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