If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

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Q: A factory selling cell phones has a marginal cost function C(r) 0.01x represents the number of cell…

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at x=2 ? %3D

A: As we know that; The slope of tangent line to the given curve is equal to the derivative of the…

Q: fx)-fla) Use the alternate definition, lim to determine the instantaneous rate of X- a 著→ 2 1 change…

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Q: Select the conic section represented by the equation. 7x 2 + 7y 2 + 3x - 5y - 1 = 0 hyperbola…

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Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

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Q: Find the tangent equation for the function: f(x) = Vx2 +5 at x=2? Find the limits by using L.Hopital…

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Q: If $2400 is invested for x years at 13% interest, compounded annually, the future value that results…

A: We have to solve the compound intrest problem and draw the graph for the same

Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

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Q: Q3) A) If you have three functions: f(x) = x2 – x g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof (x)…

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. 4-…

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: The spread of a highly contagious virus in a high school can be described by the logistic function…

A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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Q: .3 dx

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: 3. The radius of a sphere is increased from 20 cm to 20.2 cm. Estimate the change in volume.

A: First write the volume of a sphere and then diffrenciate it and put all the values.

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 5 -5+

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Q: What is the volume of the solid formed by revolving the region bounded by 8y = x2 and 8x = y? about…

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Q: c) Find a homogeneous differential equation whose general solution is given by y = c,x-1 cos 3lnx +…

A: Let's find.

Q: Determine whether the integral is improper (x-4) -'dx A Improper B Not improper

A: Given data÷

Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

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Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Explanation of the answer is as follows

Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: (a) f(x) = (6x² –8x + 4)4 2х -5 (b). у 3D 2.x2 – - 10 2. The population of a city grows from a…

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Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: Jackie wants to design a cylinder shaped container to hold popcorn. Each container will be made from…

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Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: Suppose we are given an integral of the form f f(g(x)) · g'(x) dx. We can transform this into…

A: The objective of the question is choose the correct option.

Q: 14. E sin x dx cb

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: Consider vectors U and V with magnitudes |U= 55 and | = 70 units, separated by an angle of 90. Let I…

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Q: Question The piecewise function f (x) is graphed below. Use geometric formulas to evaluate the…

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Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t e [0, ). (a) Find the…

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Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

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Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

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Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: Evaluate: da Væ2+4

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Q: d²y 2. Find the second derivative, dx2 a. x = t2 + 1 and y = t3 t2 + 2 and y = sin(t + 1) b. x = | 2

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Q: * 4.5" – 5. 4" b) Σ 6" n=1

A: Thereare multiple question, as per company policy kindly ask other question separately .

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i- 7j+? k) = i i+ i j+ i k

A: To find the limit of the given vector valued function.

Q: Directions: Evaluate the following integrai. Show your complete solution. 1. 1 2. dt 3. (3x? – 1)(x+…

A: 1. ∫x2x dx2. ∫1t2+1t3+1t4+1t5dt3. ∫3x2-1x+1 dx Note:     Multiple questions with multiple subpart…

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let x be the acute angle made by the telescope with the vertical.

Q: 1. Find the equation of the tangent line (s) to the following set of parametric equations at the…

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.