2 + 3 R + 8 k=1 8

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Q: Use the given point on the unit circle to find the values of the sine and cosine of t. (0.111, 0.994...

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Q: Bounded by: y = 2x, x = 0, x = 1, and the x-axis about the x-axis.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Evaluate the following integral as power series.

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Q: dy - 4 2.

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Q: Given f(x) 7 find f'(x) using the limit definition of the derivative. f' (x)=

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). Yo...

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Q: (a) Each of the following functions is smooth in a simply connected region. Determine which of them ...

A: In order to find the scalar function we need to equate the respective partial differentiations and i...

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Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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Q: 16. Suppose that over a region of space the electrical potential V is given by V(x, y, z) = 5x² – 3x...

A: We have to find direction in which V change the most rapidly at P and maximum rate of change at P. W...

Q: Let h(x) = f (X)g(x). If f (x) = In(3x² - - 4) and g(x) = 3x – 1, what is h' (x)? Select the correct...

A: Here, the given function is: h(x)=f(x)g(x)

Q: y. -4

A: topic - indefinite integral

Q: (x2-3)2 V4x+b simplify the first derivative. Show your work and justify your answer. 1-Determine the...

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Q: Use the given conditions to write an equation for the line in point-slope form and in slope-intercep...

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Q: Values of f(t) are given in the following table. t 2 4 8. 10 f(t) 13 19 30 46 64 84 (a) Does this fu...

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Q: Find the derivative of g(u) = square root of ((u+1)/(3u+2))

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Q: 00 N(N+1) Consider the series > n. It can be shown that the Nth partial sum of this series is given ...

A: topic - limits

Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³Vy? + z? at the pointP, (2,3,4)....

A: We have to find L(x,y,z) and by use of that we have to find the value of 1.9833.012+3.972

Q: dy 2.

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Q: skill and solving problems with parabolas. 1. Experiment #1: While bouncing the Infinity Ball, Nikki...

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Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 2860 –...

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Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: The figure below shows the contour map of z = f(B, t) which gives the balance in a bank account (in ...

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Q: 4. Calculate the volume (V) of the following blocks, when given: Length (I) Width (w) Height (h) Vol...

A: see below the answer and calculation

Q: Let h(x) f(x) %3D where f(x) = x +1 and g(x) = x² + 3x- 2. What is h' (x)? 8(x)' Select the correct ...

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Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell t...

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Q: Jrin m In(cos m) dm

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: 2. Find the general solution of each of the following homogeneous equations- If an initial value is ...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: a. Graph f(x) = 0, x= 3. b. Find lim f(x) and lim f(x). x-3 x-3+ c. Does lim f(x) exist? If so, what...

A: We have find graph and check limit exists yes or not, if exists the we have to find limit

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff c...

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Q: What is the first derivative of f (x) = ln n A)? 3x²+7x 5х Select the correct answer below: бх-7 O f...

A: Given query is to find the derivative of the expression.

Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as...

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Q: Test the series for convergence or divergence. n = 1 convergent O divergent

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Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) de

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Q: (prore) using sequences とす、

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Q: Using spherical coordinates, calculate the divergence of the following radial vector functions (a) F...

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Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not includ...

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Q: Find (f o g)(x) and (g o f)(x). f(x) = 4x² – 1; g(x) == (fo g)(x) =| %3D (Simplify your answer. Do n...

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Q: Find the magnitude of the scalar multiple, where u=(2,0) v=(-3,6) ll-2vll

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Q: Determine whether the sequence converges or diverges. If it converges, find its limit {((-1)^n)/2n}

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Q: Each function f(x) changes value when x changes from x, to xo + dx. Find the change Af= f(x, + dx) –...

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Q: What is f' (x) when f(x) = 5e4x? %3D Select the correct answer below: O f'(x) = 5e4* O f'(x) = 20etr...

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Q: cate whether lim f (x) and f(c) are equal or unequal at th ate whether lim f (x) or f(c) does not ex...

A: In this question we will use basic concepts of calculus i.e concept of limits. Solution of the above...

Q: Suppose a small company sells speakers. The company determines that the supply function for speakers...

A: Answer -  To maintain supply and demand their will be equilibrium in this, So   supply function = de...