Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50 sec2 (x) cos (tan x) sin (tan x) sin (sin2 (tan x))

Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: 2) Consider the function F(x) = ₁ dt. a) Evaluate F (e²). Type the exact answer as an integer. b)…

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Q: Which equation below best represents the equation of a sine function with the given characteristics?…

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Q: Use a series to estimate the following integral's value with an error of magnitude less than 10 -5…

A: We need to estimate integral.

Q: f(u) -Using the u-substitution, u = x + 3, identify f such that the integral√x +3 dx, takes the form…

A: ∫xx+3dx

Q: 1) 225° Quadrant Reference Angle Cos 225º =

A: given angle is  2250 since we know that if angle  θ∈[1800 , 2700 ]then   angle θ lies in quadrant…

Q: 2. (separation of variables) Solve: (e¯y + 1)-²e³dx + (e¯ª + 1)−³e¹dy = 0

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

Q: an || 2 2n+1

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Q: Find the dimensions of the rectangular box having the largest volume and surface area 80 square…

A: To find the dimensions of the rectangular box having the largest volume and surface area 80 square…

Q: Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =

A:

Q: 6. Define h(r) = for all r. Prove that the function h: R→ R satisfies the € - 6 criterion on R.

A: In this question, we want to prove that the given function satisfy the given criteria on R.

Q: 1. Given that sin(ryz) = x + 2y + Arctan(y), use implicit differentiation to find

A: note : -  since you have asked multiple questions but according to bartleby guideline  i only have…

Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

A: We need to find minimum rquirments.

Q: Find the value of if the limit exists. 3x - 15 lim x+5√√x - √5 1. limit 8√5 2. limit 30 3. limit =…

A:

Q: Find the function y(x) satisfying dy - 12/13 = 8x and y(-1)= -6. dy - 12/13 The function y(x)…

A:

Q: Question Classify the graph of the polar equation r = Select the correct answer below: Cardioid…

A: Solution: We know that  Equation r=a sin(b theta) --(1) then the graph is Rose

Q: f(x)=x-lnx

A:

Q: 13. Find the domain, range, and right end behavior (xx) of each function below: (a) f(x) = -2(1.3)…

A: We know an exponential function is valid for all real number and it gives always positive real…

Q: x-y x+y+1' 1. Let f(x, y) (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

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Q: If the marginal revenue for ski gloves is R'(x) = function. R(x) = - 0.2x + 60 and R(0) = 0, find…

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Q: (s² – 1)³ 56 F(s)-¹ 1-1 {(8²50 e + -TTS – - 2πS s² (s — 4)

A:

Q: Consider the matrices A = B = 2 3 (²7¹) and (-18 -1), ₁ 3 (₁1).If A - zB = Select one: O a. 5 O b. 4…

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Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

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

Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 3.…

A:

Q: Find the indicated partial derivatives of: дz дх дz ду z = ln(x2 + g³)

A:

Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: 17. Find the vertical asymptote and horizontal intercept of f(t) = -log3 (t + 7) + 6.

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Q: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

A: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

Q: Solve the system for x: x+y+z=2 x-y + 3z = 8 5x+y+z=14 A B X = X = 12 1 18 3 5 141 11 1 1-13 51 1 11…

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Q: Evaluate the integral. [²8+ ¹8+u² u³ 3 - + log (2) du

A: ∫248+u2u3du

Q: need the stretching factor and asymptotes of the following p(x)=tan(x-Pi/3)

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Q: luate the integral. [² ( 3 + 1 0 ² - 1 0²³) OU du

A: Given query is to find the integral.

Q: Determine the graph corresponding to the given vector equation. r(t) = (6t)i + (42-6t)j, 0≤t≤7…

A: Let's solve vector value function and integral.

Q: x Let g(x) = ™* sin(t)e'dt. Then g'(x) equals 2 sin(x)e None of these options are correct. sin(t)et…

A:

Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: hape of a box with a square base. It is to have a volume of 686 cubic feet. The concrete for th the…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: NOTE: Refresh your page if you can't see any equations. .

Q: between the curve of the function f(x) = 2x and the x-axis over the interval [-3, 3].

A:

Q: che marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function. [x)…

A: Given query is to find the cost function.

Q: (b) xey 4x²

A:

Q: Determine the value of when 3f(x) + 4g(x) lim x→2 6ƒ(x) – g(x) lim f(x) = 2, x →2 1. limit = 5 2.…

A: We need to find limx→23f(x)+4g(x)6f(x)-g(x)  given  limx→2f(x)=2, limx→2g(x)=-6

Q: Show the solution to obtain the factored form of a linear differential equation with real, constant…

A: Given equation, y=xe-xsin2x+3e-xcos2x

Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: Use the table of frequently used Taylor series to find the sum of the series. 22 76 I 2².21 24.41…

A: Given: 1- π222.2!+π424.4!-π626.6+... To find: the sum of the given series

Q: 1. Over a 3-hour period between noon and 3 pm, the rate of temperature increase in a town is given…

A: We need to estimate integral.

Q: 2. y6y" + 8y' = 2x² cos3x

A: Solution: Given data, y"'-6y"+8y

Q: A What is the asymptate. graph of the function? [y=x+1/ B The graph of the function interrupts its…

A: We need to find intercepts and find how does function approach.