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Q: A table of values of an increasing function f is shown. Use the table to find lower and upper estima...

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Q: Find the arclength of y = 4x 3 on 0 <x < 1. Give an exact answer.

A: Given y= 4x-3 on  x - [0,1] And we have to find arclength

Q: Vector Field: F(x,y) = (5x - y, x) Use this vector field to find the following partial derivatives. ...

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Q: 3. f(t) = t°e^(-4t) 4. f(t) = (e^(10t)) sin(2t)

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Q: Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According...

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Q: Evaluate the integral by interpreting it in terms of areas. V 25 - x2 ) dx

A: Given that, The integration is the following, I = ∫-50(4+25-x2)dx We have to find the value of this ...

Q: 8x + 20y + 15z = 50 20x + 80y + 50z = 250 15x + 50y + 60z = 100 Perform the first three iterations o...

A: Given that

Q: 4. f(t) = (e^(10t)) sin(2t) 5. f(t) = (e^(9t)) sinh(5t)

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Q: Fill in each blank so that the resulting statement is true. If the symbols in the Roman numeral syst...

A: In this question we have to fill the blanks.

Q: 3- To find the blue shaded area above, we would calculate: f(2)dx area Where: a = b = f(x) = %3D are...

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Q: olve the following ordinary differential equation: (x +y)dy = dx

A: We have to find solution

Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: consider a continuous function y = f(x) whose first derivative is y = x(x – 2). The function f has ...

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Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 5 3 1.8 f(x) =

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Q: to

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Q: | 9(v)dv = 19 - 6 and 5 g(v)dv = 4.3 - 3 what does the following integral equal? g(v)dv = - 6

A: Given,            ∫-65gvdv=19 and ∫-35gvdv=4.3To find :  ∫-6-3gvdv

Q: A particle is moving as given by the data below: v(t) = 6 sin(t) – 4 cos(t); s(0) = 0 s(t) = %3D

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Q: nce we do not have our path as a vector, we can use Stoke's Theorem to find th nd the "curl" of the ...

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Q: Find the differentual equatrion characterizing the family of curves described

A: Given that: ky=x2

Q: solution

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Q: Given Rn 3 4 4 4+ i- express the limit as n -→ ∞ n i3D1 as a definite integral, that is provide a, b...

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Q: Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = x° on the...

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Q: The limit lim Sz; sin(x;)Az i=1 can be expressed as a definite integral on the interval [0, 7] of th...

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Q: 22) The spring of a spring balance is 7.0 in. long when there is no weight on the balance, and it is...

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Q: Find |v| - ||w|, if v = 3i - 3j and w = 2i - 2j. |vl - |w| =O (Type an exact answer, using radicals ...

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Q: Find the four second partial derivatives of the following function. 3x z = 4y e Zxx = 36 e *y 3x, %3...

A: z=4ye3x zx=dzdx    =d(4ye3x)dx    =4ye3x×3    =12ye3x zy=dzdy    =d(4ye3x)dy    =4e3x zxx=d(zx)dx   ...

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x and y= x2 a...

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Q: x²+1, x>2 f (x) ={ 2x – 2, x<2 1. lim f(x) 2. lim ƒ(x) 3. lim f (x) x-2- x-2+ x-2

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Q: Find two numbers whose sum is 20 and whose product is a maximum A 15 and 5 B) 18 and 2 C) 10 and 10 ...

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Q: C: y= 3 17 + 12 4 | +

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Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

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Q: 17 16 15 14 13 12 Find the arclength of y = 22/2 on 2 < x < 4. 10 15 Give your answer to at least tw...

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Q: Suppose that P2(æ) = a + bx + ca² is the second degree Taylor polynomial for the function f about æ ...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x y=...

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Q: a. Find the linear approximating polynomial for the following function centered at the given point a...

A: Given that the function is fx=e-x,a=0 and it is required to approximate e-0.4. a) It is required to ...

Q: (a) Find the approximate integral of the following function using Simpson's 1/3 rule and (b) composi...

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Q: True or false? If f and g are differentiable functions for which f (1) = 1 and g' (1) = 2, then it m...

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Q: Given the equation (y + 3) xcosxdx – ydy = 0 . Solve for the solution when x = 0 and y 1 1. ( ) dx +...

A: Given

Q: Use the method of Lagrange multipliers to find the minimum and maximum values of the function subjec...

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Q: Solve for the arbitrary constant. Show complete solution. ln y = c1sin3x + c2cos3x + 9x2-2

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Q: If f f(x) dx = -1 and fo g(æ) dx = 11, find fo [2f(x) + 3g(x)] dx. %3D

A: Topic:- application of integration

Q: Consider the function f(x) 2²+3 x+1 There is a vertical asymptote at a = There a horizontal (or obli...

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Q: d²y Find dx? 3y + x = 4y dx2 ||

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Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 7 for f(x) = T2(x) must be of the fo...

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Q: H Find the differential equation characteri family of curves described

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Q: Given the function graphed below, evaluate the definite integrals. 4 -1 -- 5 6 -2 -3 f(x)dx 8 | f(æ)...

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Q: Given t2 – 1 - f(x) = dt 1+ cos?(t) At what value of x does the local max of f(x) occur?

A: Given that      f(x) = ∫0x[(t2-1)/1+cos2(t)]dt  Here we have to find at which value of x does the lo...

Q: Find the first partial derivatives of f(x,y) = 5 ex°y of 30 e %3D

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Q: since we do not have our path as a vector, we can use Stoke's Theorem to find the Circulation. Circu...

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Q: A professional basketball player signs a contract with a beginning salary of Php 3M for the first ye...

A: Solution: We know that geometric series with common ratio q and first term a1. an=a1.qn-1