Find the equation of y, given the derivative and the indicated point on the curve. y = dy = 2(x-1) dx /3

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A: We have to find out the limit

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A: Here we have to find the general term.

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A: Given :an=20n+1

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Q: f(x) = {x² + 4, x > 1 (4х + 1, х < 1 at a = 1; (1,2) ||

A: From the given, to determine whicch of the following statements is False.fx=x2+4, x≥14x+1, x&lt;1 at…

Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

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Q: Select the graph of the function. f(x)=

A: Given:

Q: Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation…

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Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: 5 tan a If f(2) = f'(x) - then f'(3) = %3D

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Q: 2a The following diagram shows a triangle ABC. diagram not to scale Sin B Sin a 10 15 10 15 AC = 15…

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Q: 6x4 - x³ - 11x2 +9x-2 3 2х-1

A: We have to find out division

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Q: -IVEN DIFFERENTIAL EQUA quation 1) dx + (x -u) du = 0

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Q: Consider the function f(x) 2x2 + 4x – 7. f(x) has a critical point at a = A. Find the value of A: A…

A: We have to find critical point

Q: Match each series to the name used to describe it. a. geometric series b. p-series C. none of the…

A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

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Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

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Q: Tutorial Exercise Determine whether the series is convergent on Š1+ 10" n=1 Step 1 The series 1 +…

A: To solve the following problem

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Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: You want to construct a box whose height is twice the base length.  The material used to build the…

A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

Q: dx .4

A: we have to find out the integral

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A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: Find fractional notation for the infinite sum. (These are geometric series.) 0.1313131313...

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Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: Determine which value best approximates the surface area of z = f(x, y) over the region R. (Make…

A: Given that the area of surface z = f(x,y) over the region. Let consider the given function, f(x,y) =…

Q: 1. x'-11/x +2 dx

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Q: Let g(x) be a differentiable function for which g'(x) > 0 and g"(x)< 0 for all values of x. It is…

A: Given query is to find the possible value for g(7).

Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

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Q: Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the following cases: a)…

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Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Use the acidity model pH = -log[H*], where acidity (pH) is a measure of the hydrogen ion…

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Q: Consider the function f(x) = 4 - 2x?, - 4 < x < 2. The absolute maximum value is and this occurs at…

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