Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

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A: The given functions are:1. fx=x+3if x≤3x3-20if x>3 at the point x1=32. fx=4-xif x≤44-x2if x>4a...

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Q: Suppose that f(5) = 3, f'(5) = 7, g(5) = -6, and g'(5) = 1. Find the following values.

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Q: Evaluate the function for the indicated values. f(x) = 6||x| + 3 (a) f(0) (b) f(-2.8) (c) f(4) 5 (d)...

A: see below the answer and explanation

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

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A: volume of a cylinder

Q: component form or standard basis vectors. Express numbers in exact form.

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

A: Given : P2(x) = a + bx + cx2 is the second degree Taylor Polynomial for the function f about x = 0. ...

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Q: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000...

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Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

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Q: [1 23 A 3 4 5] Given matrix A above, in the matrix multiplication: IxA = A.What is matrix To create ...

A: Find your answer below 

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

A: I am attaching image so that you understand each and every step.

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Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

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Q: a) The value of the following integral 224 2da is Answer: I b) Find the indefinite integral (2x+3)dr...

A: To evaluate the following integral.a ∫012x4-2 dxb ∫2x+3 dxc ∫0x et dt 

Q: Select ALL possible answers. Which of the following is lare NOT true of the function f (x) whose gra...

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Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

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A: This is a problem related to curve sketching and it's transformation. Based on the phase shifting co...

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Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy d...

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2 ...

A: Find your answer below 

Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac xap...

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Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: S e3(2e * – 1 ) dx (ear – 2) (e3* + 1) 4 (A) 2e3x – 1 B) 2e 6r – e 3x © (e3r – 2)+ D (e*+1)+ (E ,6x ...

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Q: Select ALL possible answers. * Which of the following is/are true about the function whose graph is ...

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Q: Given a function whose graph is shown below. 3 -5 -M 1 2 3. 4 The function is continuous on (1,5). O...

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Q: Find the exact value of cos(sin-G)) COS

A: Solving the problem by finding the exact value.   NOTE :: As per our Expert guidelines we are suppos...

Q: Which of the following statement/s is/are true of the function whose graph is shown below? 30 -4 -3 ...

A: From the given graph we can see that- - Since the graph at x=-3 contains a hole, Hence     the value...

Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is...

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Q: e(2e" – 1)dx 6x 3x A 2e - 1 B 2e 6i – e 3u © (e"-2)+ (e" + 1)4 E F None

A: This is a problem of integration. First here we will assume e^3x = t and then we will use general fo...

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Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: Evaluate: / 3'/ | 3° +4dy A 3' +4) : In27 +C A 2 (3+4) +C B.

A: Integration

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

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Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: (a) f(x) is shifted 5 units upward. y = (b) f(x) is shifted 6 units to the right. y = (c) f(x) is re...

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