a. у 2 1 0 y = /4 - x X

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: volume = 2π∫09r(x)h(x) where r = radius ,h =height

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A:

Q: x³ dy + (3x²y - xe* + ex) dx = 0

A: The given differential equation is; x3dy + (3x2y-xex+ex)dx =0

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A: To find the cost of 20 office building.

Q: [x² (9-³) dx 1)-9-² In (9) O 2) +C -9-- 3 In (9) +C 3) 9-³+1 +C 4) -9-³ 9 In(3) +C

A:

Q: Solve the following differential equations. y' = 2. y' =2, y(0) = −1. xy³ 1+x2) dy dx

A:

Q: For f(x) = 3 + 7x - 19(x^2) + 2(x^4) find the maclaurin series (Taylor series about x =0) Please do…

A: The Solution is given below:

Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = 4x²(3x + 1)4

A: To find the derivative with respect to x

Q: Eliminate the arbitrary constants 3x²y 3 + 4y cot x = C

A:

Q: Integrate: /25 - x8 √√25 x5 - dx

A:

Q: Find critical points and classify each critical point as relative max, relative min, or a saddle…

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Q: Integrate Iv Xx 4 √x + 25 dx + C

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Q: 7π Rewrite sin x + 6 cos(x). in terms of sin(x) and

A: As we know the trigonometric identity: sina+b=sinacosb+cosasinb   To rewrite sinx+π6 in terms of…

Q: 11. Use the rotated system to graph the following equation: 7x² + 2xy + 7y² = 24

A: To use the rotated sytem to graph the following equation.7x2+2xy+7y2=24

Q: 2 y =tan ¹ ( 7²2 )

A:

Q: (a + n ) ² − ( ₁ + n ) z

A:

Q: Find the value(s) of k that make the function continuous over the given interval: f(x) = { etx kx,…

A:

Q: a. У -1 0| y = x² + 2 2 X b. У у= y = 4x-x2 10 x с. -10 y =ex 3

A:

Q: Identify whether the following figure suggest CIRCLE, PARABOLA, ELLIPSE or HYPERBOLA.

A: Here we have to use the basic concept of conic section.

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A: We have to find the two orthogonal unit vectors to given vectors.

Q: a function y = f(x) be implicitly given by the equation y²-x²y³ - cos (πy) = xª. The point (-1,1).

A: Topic:- application of derivatives

Q: Use the substitution x = 44dx x²√√√x² + 4 2 tan (0) to evaluate the indefinite integral

A:

Q: A production line makes 1,210 jars of peanut butter per hour. It starts producing jars at 8:00 am.…

A: we will  find the required solution.

Q: 2) Solve log(5x+1) - log(x-2) = 1

A:

Q: Why isn't factoring x* – 81 as (x² + 9)(x² – 9) a complete factorization?

A: A complete Factorization of a polynomial is the method to factorise the expression by puting all…

Q: Exercise 6 Continuity on an Interval Find the value(s) of k that make the function continuous over…

A: f(x)=Sin(x)0≤ x<π2cosx+kπ2≤ x<π

Q: Use the substitution x 44dx x²√√x² + 4 2 tan (0) to evaluate the indefinite integral + C

A:

Q: Find the equation of the line tangent to the curve at the given point. y=sin(sin(x)) at (3π,0)

A: The equation of the curve is y = sinsinx The point on the graph is x0, y0 = 3π, 0 To evaluate: The…

Q: 2) Suppose a tennis ball is thrown upward from a tennis court that is 30 feet above ground (the…

A: Given position function:- st=-16t2+48t+30 We know Average rate of change of function fx in interval…

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A: Concept Used: Differentiation Differentiate using the chain rule, which states that:…

Q: .. Find the sum of each series. 1 + ਨੇ + 1 2 1 1 + 4 2² 4² + 1 2³ 4³ ਕਿ 1 4*

A: We have to find the sum of the given series. According to guidelines we can solve only one question.…

Q: C. ОЛ |y=x² y = x(4-x) + X d. y 0 y = sin x y = cos x X

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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A: Given function is fx=36x2+2x+73x

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A: The given differential equation 1+xydx-1+x2dy=0 We have to the general solution of the differential…

Q: Given the following information, determine the value of x: u = [2x, 5], v = [3x, 1 and += 7x.

A:

Q: Consider the indefinite integral fox³. [6x³ + 8x² + 4x + 4 x4 + 1x² Then the integrand has partial…

A:

Q: Find the inverse transform of the given function of s. -3s F(s) = ¤~² S A -4₂ (1) B1-4₂ (1) © "₂(1)…

A: Given :- Fs=e-3ss

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A:

Q: Explain how to find the degree of a polynomial in two variables.

A: Concept used: Degree of a polynomial in two variables The degree of a polynomial in two variables…

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A:

Q: Classify the equation below according to the following Order: Degree: Types: Independent Variable:…

A: Concept: Equations with several unknown variables and their partial derivatives are known as partial…

Q: (a) 2xy + y² 2xy³ + 2x²y²x² - 2xy da (b) x(y + x)²y = y³ + 2xy² + x²y + x³ da

A:

Q: (2) Evaluate sin³ x. cos²xdx.

A:

Q: Determine whether the series converges. (c) (d) (e) ∞ 1 k-11+9k² k=1 2 -1 tan ¹ k 1+k² 1 Σk² sin² k…

A: See this solution in below

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Q: The most efficient technique for solving x² + 5x – 10 = 0 is by using.

A: Given quadratic equation is x2+5x-10=0    ....1

Q: Find the transform of the given function by use of a table. f(t) = 1 - cos 7t (A) F(s)-- B F (s) =…

A:

Q: Use the chain rule to find the derivative of f(x) = 10√/7x² + 3x7 Type your answer without…

A:

Q: 10. What's the standard form of the equation of the following hyperbola? 6 5+ 4 3+ 2+ -6-5-4-3-2-1…

A: