Compute f (a) for a = 6. /(z) = ! 5

Q: use the Power Rule to compute the derivative.

A: given,        A=ddtt2/3t=8

Q: The tangent line to y=f(x)y=f(x) at (−3,−2)(−3,−2) passes through the point (−4,−3)(−4,−3). Compute…

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Q: Use Linear Approximation to estimate Af = f (11.02) – f(11) for f(x) = x-1. (Use decimal notation.…

A: Given: fx=x-1, To estimate: ∆f=f11.02-f11 using linear approximation,

Q: What is frz, fyy, and fyz of f(x, y) = In(y²")?

A: Given:           f(x,y)=lnyx2          fx=∂∂xlnyx2         Treating y as constant variable…

Q: Use the Product Rule to differentiate f(s)=Vs (3- s°). |

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Q: 3. Where is f(x) = concave up? Justify your answver. %3D

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Use a linear approximation to estimate v100.5. Show your work.

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Q: 4. Integrate the following function using the Trapezoid Rule with n=5: (1.2

A: As indicated in the question, we will make use of composite Trapezoidal rule to approximate the…

Q: use graphical approximation methods to find the point(s) of intersction of f(x)=e^x and g(x)=x^6 to…

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Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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Q: Find the derivative of f (z) = (2° – 5z) (2² + 6z – 6). a va la sin (a) f' (포) 3DD Please explain,…

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Q: 4. Is the function f integrable over the interval [-4,1]? Briefly justify your answer. 2x2 + 5x – 3…

A: Solution  Question 4  Given,  fx = 2x2+5x-3x+3  We have to find the function is integrable in the…

Q: Use an appropiate linear approximation to estimate the value of In(1.01). Compare your approximation…

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Q: 57. Is the function given by Sx + 1, for x 4, g(x) = continuous at x = 4? Why or why not?

A: gx=12x+1,   for  x<4-x+7,   for  x>4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

Q: Use the Linear Approximation to estimate Af = f(4.8) – f(5) for f(x) = x – 5x². (Use decimal…

A: Given data:   The given expression for the function is f(x)=x-5x2. The given value a=5.   The…

Q: Find the interpolating polynomial of degree two for f(x) cos(r2) +r on the interval [-1, 1] using…

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Q: The linear approximation to 1 over sqrt(5-x) at x=0 is y=?

A: To find the linear approximation at x = 0 to the function 1/sqrt (5–x).

Q: Explain why the fundin f(2)= 526+ z COSZ - z’e? is entire ?

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Q: Find the higher-order deriv f"(x) =6Vx – 4 f(5)(x) =

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Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = - %3D 5+x? (Use decimal…

A: fx=115+x2,a=2;∆x=-12 Now, differentiate the function with respect to x.…

Q: 56. Is the function given by Sx + 1, for x 4, G(x) = continuous at x = 4? Why or why not?

A: As we know that  Function will be continuous at x=a if limx→a-fx=limx→a+fx=fa

Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Assume that f is a function with domain [0,1] that is differentiable in (0,1). Assuming that f (0) =…

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1) (show…

A: We will find out the required value.

Q: Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 1+x² * (Use decimal notation.…

A: Given: f(x)=81+x2

Q: . Find the maximum value of f(x) = In(x – In x) on the interval -sxs. Show all steps .

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Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

A: We have given a function ,  fx = x3 , x ∈ ℚ0 , x ∈ ℝ \ ℚ We need to show that , f'0 = 0 We know the…

Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: In the Algebric terms what is meant by nvertible function?

A: Invertible function:

Q: Use linear approximation to estimate f(4.9) given that f(5) = 2 and f'(5) = 6.

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Q: Exercise 7.13. Suppose in G.

A: A subgroup of a group G that satisfies the similarity transformation with any fixed arbitrary…

Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear…

Q: Let f (2) = – z). (7z+ 10) (i

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Q: Find f'(x)'f f (x)= arctan (Inx) %3D

A: Using composite function formula.

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal…

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Q: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

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Q: Show that the derivative of f(x) = 2/x+3 is J (4) = VI ob no using the definition of the derivative.…

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Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: Is the function F(x) as given is constant, increasing, or decreasing on the interval (0, ∞)?…

A: Fx=∫x2x1t dt⇒Fx=lntx2x⇒Fx=ln2x-lnx⇒Fx=ln2xx          ∵lnx-lny=lnxy⇒Fx=ln2

Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: Use the linear approximation of f (x) = /x at x = 9 to estimate the value of /9.018. Do not round…

A: Given:      f(x) = √x     x = 9

Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…

Q: Find Tn cebtered at x=0 fir akk b for the function f(x) = 1/(1+x) at a=0

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