1. f(x¹ + x³)dx π

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 y = 16 where x is the…

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Q: Distance Between Two Cars A car leaves an intersection traveling east. Its position t sec later is…

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Q: An architect was commissioned to design a nuclear explosion resistant building in the shape of a…

A: The given dimenssions of ellipsoid area=25 mb=20mc=40 mthickness t = 1 m

Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line =…

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Q: Question 2: Let E be the solid inside the surface x² + y² + z² = 10% and above the plane z = 5. (a)…

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Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-9). f(x) = − 7x² + 10x

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Q: Find dy dx 2 for x²exy = 5 WA/

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Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: 9-1² 9-1²-² 1.****** (a) 1 dz dy da Sketch each of the following: . the solid E • the projection of…

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Q: Use the graph below to determine that slope of the secant line on f(x) from x-1 to x-3. 5 4 3 2 y =…

A: use the graph for finding the slope of the secant line.

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

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Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: Find an equation for the level surface of the function through a given point. x-y + 2z (1,0, -1)…

A: Concept: Level surfaces: For a function, w=f(x,y,z):U⊆R3→Rw=f(x,y,z):U⊆R3→R the level surface of…

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

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Q: Given the piecewise function f(x) = = Why is f not differentiable at x = 4? Of has no tangent line…

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Q: Find y' y = e2x - e3x e4x

A: This question is based on diffrentiation of exponential Function.

Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line…

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Q: (i) Evaluate the limit or show that it does not exist. 2xy lim (x,y) (0,0) x2 + 2y² (ii) If cos(xyz)…

A: Firstly we can find Limits and In second one we can find partial derivatives .

Q: 41- - ST x² coscyldy dz dx

A: ∫ cos(y) dy= sin(y)+C

Q: Let f be the function defined as follows. y = f(x) = √5x + 5 (a) Find the differential of f. dy = X…

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Q: The normal line to a curve h(x) = -x² + 1 at point Z, is defined as a line that passes through point…

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Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = -2 y = X 2

A: Integrating the given function gives the antiderivative.

Q: Given the equation z = arctan(x- y²) with the change of variables x=s³-t³ and y=st² + s²t, use the…

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Q: lim f(x) = 9 lim_ g(x) lim_h(x) = 0, X→2 X→2 X→2 find the limits, if they exist. (If an answer does…

A: Topic = Limits

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: 12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 11. Use L'Hopital's rule to find the following limits. x² + 3x-4 x-1 (a) lim x-1 In x xx-1 (b) lim

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Q: Find the derivative of each of the following functions using any method. 1.) f(x)= 6x^5 + 7x^4 - 6x³…

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Q: Whatis the derivative of y = sin (2x − 1)?

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

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Q: dx √x²=2x+17 a) sinh xe ta 4 bì ninh XH + C 4 c) minh? X-1 2 d) none of the above

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 2 (a) Find…

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Q: State the order of the given ordinary differential equation. (sin e)y"" - (cos e)y' = 3 Determine…

A: The order of a differential equation is the order of the highest derivative present in the given…

Q: 4 Determine the radius of convergence for the series n=1 2-4-6-(2n) 2-5-8--(3n - (17) ³².2²

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: Given the graph below, what can you say about the function at x = 1? 10 Continuous Not Continuous

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Q: Create a system of linear equations with three equations and three unknowns, solve the system of…

A: John invested his inheritance of $12,000 in three different funds: part in a money-market fund…

Q: area enclo fencing is m². Fence ε = www. 10x Building

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Q: A. Find the volume generated by rotating the region bounded by y=x, y=1 and the y-axis rotated about…

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y — y³ dx 2x + 3xy²…

A: This question is related to differential equations, we will solve it using given information.

Q: Task 5. What is the domain of the function a) (0, 1) b) (-∞, 1) c) (-∞, 0) U (0, ∞) esin (1/2) y =…

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Q: 10s²+17s+12₁ S³+27 L-¹1²

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Q: -9-x²-y² L.**** 1 dz dy dx 0 (a) Sketch each of the following: • the solid E . the projection of E…

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Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

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Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

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Q: Let y = f(x), where f(x) = 7x5/6 + 5x²/3. Find the differential of the function. dy = X

A: The objective is to find the differential function.

Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

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Q: Show that the following series is divergent using the Test for Divergence. 4k³ - 1 k³ + 5k² + k k=1

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