Given F(r, s, t) = r(3s² + 3t²), compute: Frst

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A: As per bartleby guidelines we only give first question answers. 

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

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A: Find your answer below 

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A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   And ddxcoshx=sinhxddxtan...

Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

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A: Given,            The line passes through the point -1,4,-8 and is parallel to v=4i-j.To find : Find...

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A: To find the derivative of given parametric function.

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = x², y = 2x

A: Given; y=x2, y=2x   The expression for the centroid is: x¯=1A∬xdydx ;  y¯=1A∬ydydx Where; Area=A=∬dy...

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A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...

Q: Given the function f(x) = 2x³ – 11.7x² + 17.7x – 5, find one root using the following methods below....

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: 13. Let a be a constant. State the formula for the nth-degree Taylor polynomial of a continuous func...

A: Let a be a constant. We have to state the formula for the nth-degree Taylor polynomial of a continuo...

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: Given: f (x) = x + 5x + 4 %3D and g(x) = x + 1 Solve for f (2) 8 (1)

A: Solution of question is written in below steps.

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A: We have to find all zeros of the function  f(x) = x3+3x2-2x-2.

Q: C.Logarithmic and Exponential Functions

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A: Find your answer below I have solved two because these questions are not related to each according t...

Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii) ...

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: y=9-x2, y=0, about the x-axis here  put y=0 0=9-x2 x = +3 or -3 volume V = ∫-33 2πxydx V =∫-33 2πx(9...

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A: According to question,Given Matrix,A = cos ϑ-sin ϑsin ϑcos ϑ

Q: D- Hyperbolic Functions ) y= cosh (dx-1)

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Q: dy 21 z'e ", by using Variable Separable de PROBLEM [ B6 (b) ]: Solve the first order differential e...

A: Given the first order differential equation is dydx = 21x2e-y

Q: 2 y=x¯,y= 2x

A: The objective of the question is calculate area of the bounded region .