Question Find the linear approximation L(x) of the function f(x)=√x - 10 at a = 26. (Enter an exact answer.) Provide your answer below: L(x) =

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Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

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Q: a) Find each derivative. If it does not exist, write DNE. i. \/'(0) b) /'(3) Find lim sin (2x) tan…

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Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

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Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

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Q: Question Use an appropriate linear approximation to estimate √8.95. (Round your answer to three…

A: Concept: Linear approximation: The definition of a linear approximation of a function is simply…

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Q: Answer true or false. If £{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). True O…

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Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

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Q: Below is the function f(x). 6 5 54 63 2 " 7 6 5 4 3 2 -1 3 27 7 4 4 5 -2- -3 -5- 1 2 3 4 5 6 7 -7…

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Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

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A: We have to find the area of given function.

Q: Tab Window Help ving Exponer X + -integrals-involving-exponential-and-log wolving Exponential and…

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Q: Solve: x"(t) + 2x'(t) + x(t) = 3t e-t x(0) = 4, x'(0) = 2 Evaluate: F(2) = Evaluate: f(1) =…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

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Q: Given: f(t) = 8 t 2 Evaluate: F(2) Round-off answer to 2 decimal places.

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Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

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Q: 4 ANSWERS Screenshot (1603) y + 4y = 1²-t +7. Screenshot (1597).png Determine the values of r for…

A: Need to find out the solution and also the values of r

Q: Consider the following. Find its foci. Find an equation of the ellipse. smaller x-value 2 larger…

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Q: Differentiate from first principle y = 5x²³² +22² +32 +4

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Q: y' - y = 2 cos(6t), y(0) = 0 Find L{f(t)} for f(t) = 2 cos(6t). (Write your answer as a function of…

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Q: Given AB www. BA= and [2 1 2 2], find AB and BA. Hint: Matrices need to be entered as [(elements of…

A: The answer is given below:

Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: The weekly marginal cost of producing x pairs of tennis shoes is given by the following​ function,…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}…

A: Given function f(t)=(et-e-t)2  f(t)=e2t+e-2t-2×et×e-tf(t)=e2t+e-2t-2   Formula L(eat)=1s-aL(c)=cs

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $43…

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Q: *find the decomposition of the partial fraction for the nonrepeating linear factors. 9. 10x + 47 x²…

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A: Formula to calculate :-Density=MassVolumeVolume of the cone=13πr2hwhere r=radius of the base of the…

Q: Answer true or false. If f is not piecewise continuous on [0, ∞o>), then L{f(t)} will not exist. O…

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Q: Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of…

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Q: Which equation of a circle has the center, C, and radius, r, as shown in the graph? -3-2 7 T of 7 T…

A: The circle has center C3,-2 and radius 26

Q: Solve the given differential equation. All solutions should be found. dy dx e5x+10y ot (1603) NOTE:…

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Q: Problem #1: Which of the following functions is continuous at (0,0)? to yo (i) f(x,y)= = (ii) g(x,…

A: The objective of the question is checking the continuity of the given functions.

Q: لما D the double integral of f(x, y) over D is f(x, y)dxdy = ubmit Question

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

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Q: 7 My Drive Computers Shared with me Recent Starred Trash Storage Buy storage 1 Screenshot (16…

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Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s))} = f(t)g(t). True False

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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: Which of the following is the graph of (x+3)² + (y+4)² =257 -10-74444 -10-0744 T a . - → 7 "

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Q: handwritten

A: Please refer to the image below

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A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: 3. Determine the point(s) where the function y = ₁ , has a maximimum and/or a minimum. Find BOTH…

A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

Q: Use linear approximation, i.e. the tangent line, to approximate Let f(x) = x. The equation of the…

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Q: DETAILS ZILLDIFFEQMODAP11 1.2.008. In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter…

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