y(x) = (Simplify your answer. Do not factor.)

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

A: Given query is to find the limit of the expression.

Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

A:

Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

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Q: So (xs +x) dx 24.47 %3D The bet ween y = sin x and the x - axis for area

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

A: Given problem:-

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: Write the sum using sigma notation: 9+ 13 + 17 + 21 + ...+ 57 = B, where n=1 A = B =

A: Topic:- sequence and series

Q: Use the Integral Test to determine whether the infinite series is convergent. A n+4 n=2 Fill in the…

A: We have to find out the convergence test

Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appre…

A: The given alternating series is: ∑n=1∞(-1)n+1n! Let, an=1n!

Q: f(x) = lnx/sqrt(x) Find interval of increasing/decreasing: Local max and mix values:

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Q: yA C(0, 1) B(1, 1) y=Vx R2 R3 R1 A(1, 0) Referring to the figure above, find the volume generated by…

A: This question can be solved using the concept of volume of solids generated as a result of rotation…

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

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Q: A mountain climber is about to haul up a 70-m length of hanging rope. How much work will it take if…

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Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

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Q: Find the linear approximation of f(x) = sin x, for x close to 0

A: The given function is: f(x)=sin x To find the linear approximation of it close to 0.

Q: A region is enclosed by the equations below. y = 2?, a = 3, y = 0 Find the volume of the solid…

A: We can solve this as follows:

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?

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Q: xdy + (y – cos x)dx = 0, y() = 0 0, У 8. Solve the IVP:

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Q: x+3 4.) Evaluate: S x²+5x+6 dx 5.) Evaluate: S xlnx

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Q: 1. Convert the second-order differential equation d'y + 2y = 0 dt2 into a first-order system in…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

A:

Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: solve

A: We will solve the problems.

Q: Find the indefinite integral and check the result by differentiation. COS X 1- Cos x Step 1 First,…

A: Solved below

Q: A surface S has a parametrization Þ(u, v), whose domain D is the square shown in the figure. Suppose…

A: We need to estimate integral.

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per hour…

A: We need to find rate of change of area.

Q: Find all local extreme values of f(1) = 2 + 8x - 30. %3D | The FIRST local extreme value, moving…

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Q: 5 (а). and the bottom of the box costs 3 TL per cm². The sides of the box costs 1.5 TL per cm². We…

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Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

Q: of of For the function f(t,a) = sin (5t + 8a), find and at da

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Q: Find the area of the parallelogram that has two adjacent sides u = -2i + 4k and v =i +2] +k Axn pu…

A: We will find the cross product and area.

Q: a multi-part problem. If F(t) = + 4t² 412 – t+ 9, find F'(t). 3 This is F'(t) = |

A: Given query is to find the derivative of the expression.

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

Q: 10u +4 /ũ Find the most general antiderivative of f(u)

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Q: y 6- 7 fX) = x² +3 4 2 (2, 1) -4 -2 2 4

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Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

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

Q: 2. If f(2, u) dA 10, where D is the triangle with vertices (0, 0), (2,0), and (2, 3), then the…

A: To find the average value of the given double integral.

Q: 52.8706e-0.3277t h'(t) - (1 + 2.449e-0.327M;2 hes/year, where the child's height h(t) is measured in…

A: Given :

Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

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Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 29,000 + 50x +…

A: To find the marginal cost.

Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: BASIC CALCULUS 1. The line segment from (1, -1,3) to (0, –3, 1) forms a diameter of the sphere S1.…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: e angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is…

A: we have find the reference angle then sine and cosines of both. here i am giving my handwritten…