Let f(x) = cx3.4 and suppose that f(4) = 14. Find the value of c. Round to 4 places, if needed. c =

Q: If f(3) = 14, f 'is continuous, and | f (x) dx = 19, what is the value of f(7)? f(7) =

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Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

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Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: He)=(x+2)e f has absolute extreme values on ?

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Q: c. Use antidifferentiation to find f (x).

A: Since, we have asked for solving part-(c) only.Since here it is given that f'(x)=x2 ln x -(i)Here…

Q: Find the family of antiderivatives for the function, f(x) = 8 4x. Which of these pass through the…

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Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

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Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: Find a linear approximation to f(x) = 4xe2*-6 at x = 3. Use this linear proximation to estimate the…

A: To find Linear approximation

Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: 2 Evaluate f(x) dx, given that f(x) dx = 6.

A: ∫abf(x)dx=-∫baf(x) dx

Q: 3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

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Q: Estimate f(3.2)by using the following Data obtain from the f(x) = x? + 1by use Quadratic…

A: NDDP stands for Newtown Divided Difference Polynomial. The quadratic interpolation is the same as…

Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

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Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

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Q: Find for the following function. dx2 y=e -6x2 %3D dx2

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Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: Find the general antiderivative of the given function. f(x) =x? - 9x+ 14

A: Given, fx = x2 -9x+14  We have to find the antiderivative of fx = x2 -9x+14

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Estimate f(3.2)by using the following Data obtain from the f(x) = x? + 1by use Quadratic…

A: First we see a formulaFormula:Newtons divide difference interpolation formulafx=fx0+x-x0 f…

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: b) If y = 6 x° In(x), find f '(x). f'(x)= ===: c) If f(x) = e7**+4x²+77,. find f '(x). f'(x)= | ===…

A: The product rule of derivative states that uv'=u'v+v'u.

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Find for the given function. w= 10z2 e?

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Q: An employment research company estimates that the value of a recent MBA graduate to an accounting…

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

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Q: Find the value of x that makes AJKM~ANKL. 6. x + 2 J K L. 8. x + 7 M.

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Q: Assignment: 8 f(x) | Vīdx

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Q: If f(2) = 15, f' is continuous, and d f'(t) dt = 30, f(7)? what is the value of Answer:

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Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: Find the value of the constant C for which the p.d.f is legitimate

A: To pdf be a legitimate we, the integral of f(x,y) over the whole range of x and y is one.

Q: Suppose (P. 0) is the point on the graph of. y=Vx closest to (1, 0) - What is the value of p + Q? 3…

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Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

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Q: Approximate V126 using Ay f'(x) · Ax

A: Given,  126

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

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Q: de fined as F(X) = P(X f(t) for – a <x < a. - t<a

A: Here f(t) is probability density function of x.  Where -a&lt;x&lt;a.

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: If f(5) = 14, f' is continuous, and f '(x) dx 20, what is the value of f(7)? %3D f(7) =

A: Consider the given integral is, I=∫57f'(x)20=f(x)5720=f(7)-f(5)f(7)=20+f(5)f(7)=20+14f(7)=34

Q: he surtace f(xy) A

A: A line lies on a plane if and only if every point on the line, lies on the plane and the normal to…