Given c = - 2 + 10j and u = -107 + 3j, find |e+u and le| + |ú. Give EXACT answers. You do NOT have to simplify your radicals! |ć + ú| = |Ć| + |u|=|

Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given  Fs=8 s2 - 49 s + 294s  s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: 1. Find the average value of the function over the given interval and all values of x in the given…

A: The solution is shown below-

Q: Find the derivate of the functions: a) F(x) = -3x²=4 : f'(x) = b) g(v) = 3 g'(v) = 2√² +5V-9 c) f(x)…

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Q: Using the ratio test to determine the convergence or divergence of the series series. Divergent The…

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Q: Find a formula for the n" partial sum of the series 5- th The formula for the nth partial sum, s of…

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Q: Evaluate the limit sin 5x lim 10 sin 2x

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

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Q: 3x³+1 f) lim x →∞0 4x³-1

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Q: - 49 -dx = X (Type an expression using x as the variable.)

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Q: Find √ √1 + x²dx

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Q: Evaluate the integral. 2 2π π [ 0 0 0 sin z dx dy dz 2 2π π SS Sy sin 'sin zdxdydz =| 0 000 (Type an…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the 7+x…

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Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: 2. Optimization problem The average cost per unit when producing x units of a commodity is given by…

A: Solved below

Q: Use linear approximation, i.e. the tangent line, to approximate √16.2 as follows: Let f(x)=√x. Find…

A: Given: f(x)=x at x=16

Q: 29. Determine the average rate of change of the function over the domain graphed. y -4 20 (-3,-5) 2…

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Q: Does the series convergence or diverge 7 n²+5n+6 ∞

A: We have given a series  Let, y=∑n=0∞7n2+5n+6 Using factor form n2+5n+6=n2+2n+3n+6=nn+2+3n+2…

Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

Q: Determine if the function f(x) = r²-3x+2 satisfies the hypotheses of the Mean Value Theorem (MVT) on…

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Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the tangent plane to the equation z = -4x² + 3y² - 5y at the point (3, 2, -34)

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Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = X-3 x + 3

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Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

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Q: Find the derivative of the function. y = In(3x²-x) + 4x

A: y=ln3x2-x+4xd dx(lnx)=1xd dx(xn)=nxn-1

Q: Evaluate the limit tan 7x lim 1-0 sin 4x

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Q: Write the equation of the tangent line to the curve at the given point. x² + y² + 6x - 3y + 7 = 0 at…

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Q: Let f be the function defined as follows. y = f(x) = √√√√5x + 6 (a) Find the differential of f. dy =…

A: A detailed solution is given below.

Q: A volume is described as follows: 1. the base is the region bounded by y = e³.5x, y = 3.5x² + 0.9…

A: Given,             A volume is described as follows:             1. the base is the region bounded…

Q: A ball of radius 15 has a round hole of radius 9 drilled through its center. Find the volume of the…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: d) lim √2 - x X-2+

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: d. f(x) = 3x4. 3x²-2 2x

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Q: x² 2 ,0sxs Find the length of the curve y=- 3√5 2

A: To find the length of the curve y=x22, 0≤x≤352.

Q: 20,000e 1+ ķ xy-plane, where x and y are measured in centimeters, find the total population of…

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Q: y" + 3y + 2y = 4x² 3 e² y (0) = 9, y' (0) = 5

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: 2√3/3 3/2 21 7(²-1) ³92 - -dr = r (Type an exact answer in terms of .)

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Q: Consider the function f(x) interval. = 1 on the interval [3, 9]. Find the average or mean slope of…

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Q: The graph of y = f(x) has ƒ(5) = -2, f'(5) = 2, and f'(5): = -1. Which of the = −1 following might…

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Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = t² + 3t.…

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Q: Solve the system of equations. x - 2y z = 6 -x + 6y-3z = - 18 2x-11y + 5z = 33 Select the correct…

A: Given equations x - 2y - z = 6 -x + 6y - 3z = -18 2x - 11y + 5z = 33

Q: Given f(x, y) = 100x + 80y - 2x²- 4y² - xy Evaluate f(10, 9)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

Q: 1

A: We have to simplify and write in x according to the given information.

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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