Q: If f(x) = sin c, find f'(a) Find f'(4)

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Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

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Q: lim (x,y)→(0,0) f(x, y) to be along the path Y = x. Based on the table of values, enter what you bel...

A: Based on the table values we have to find the limit value.

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

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Q: Solve the differential equation: y?sin(t)=-y'

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Q: n the coffee house will not make a profit. Determine what the coffee house needs to charge in order ...

A: As per our guideline we are supposed to be answer only first three subpart of questions you can repo...

Q: cos -1

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Q: Find the Taylor polynomial T;(x) and compute the error |S(x) – T2(x)| for the given values of a and ...

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Q: Use the chain rule to find the derivative of f(r) = 6/7x + 4r³ | Type your answer without fractional...

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Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: Find the limit of the rational function (a) as x→∞ and (b) as x→ - oo. Write o or - ∞ where appropri...

A: We need to find limit of given function.

Q: Find the linearization at x = a. y = (10 + x)-12, a = 9 (Use symbolic notation and fractions where n...

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Q: If the derivative d (instead of ) exists at a point and = 0, then the tangent line at that point is ...

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Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

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Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give th...

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Q: If R is a region bounded by y = x² and y = 4x – x², evaluate S. | (x + y)dA R

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Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

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Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: 1 cosØ dø (7-sin²Ø

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Q: QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Evaluate the integral. (Use C for the constant of integration.)   21z3ez dz

A: As we know from the integration by parts; ∫udv=u·v-∫v·du Given: I=∫21z3ezdz   ....1

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.  

Q: Find a singular value decomposition (SVD) of the matrix: 3 2 2 H = 2 3 -2

A: Given Matrix is  H=32223-2 Then SVD of H is given by: H=UDVT Where, U=Matrix of the orthonormal eige...

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

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Q: The function f(x, y) = sin? (x) sin? (y) corresponds to plot [ Select ] level curve [ Select ] > >

A: Here is the solution of the given problem. Leave surface and selecting the given curve.

Q: Solve the following: dx 1. xV4x2 - 25

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Q: Find the particular antiderivative that satisfies the following conditions: dz 8e* – 3; (0) = 8. dt

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Q: 12) sin-1 -1 14) tan 0 V3 16) sin-! |

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Q: s³(Ø) + sin(20) – 3 cos(0) cos F(8) de = J sin (ø) + 3 cos²(0) + 2 sin(8) – 3 Hint: Try substituting...

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Q: If f(x) = 3 + 2x and g(x) = square root of 4 + 4x Then, what is the composite function of f o g?

A: Given: - The functions are, f(x)=3+2x and g(x)=4+4x To find: - The composite function of f∘g

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x² E...

A: We need to verify the circumference of circle.

Q: Consider the following function. f(x) = Vx; x = 4 (a) Use any method to estimate the slope of the ta...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 9x...

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: IDENTIFY THE CORRECT U

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Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

A: The objective of the question is rewrite the function in different form and determine it's derivativ...

Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

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Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: Reduce the equation to standard form, classify the surface and sketch it     x2 = 2y2 + 3z2

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Q: 1-2) Use the 4 step process or the increment method to get the derivatives of the following function...

A: 1) y=4x2+3x2) y=2x-13) y=4x4+2x3-3x2+7x-15

Q: Consider the function f(x) given by the graph below. y f(x)

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1+ In x3 y y 1 4

A: we have to find area