In Exercises 11–14, find the derivatives of the functions . Assume that a, b, c, and k are constants.

Q: Verify that the function y = 2x - 6x + 10 satisfies the differential equation -y"-xy"-2y' = -24x. %3...

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Q: I - 3, for a 1 lim f(z) = -1 lim f(z) = -1+ lim f(z) = -1 lim f(z) = f(-1) =

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Q: 5. Determine whether the following series converge or diverge: In(2) 5n2 +n+1 73 + 2 (i) (ii) (iii) ...

A: In the question we have to check whether series converges or diverges. AS PER BARTLEBY GUIDELINES WE...

Q: Hi I only need help answering number 6, 19, and 21. Thank you.

A: Answer 

Q: Determine whether the product is defined. If it is defined, find the product, if it is not, say "not...

A: We need to multiply these matrix so we need to see order of matrices 

Q: Find the most general anti-derivative or indefinite integral check your answer by differentiation. 

A: We have to find the most general anti-derivative or indefinite integral check your answer by differe...

Q: 10.3 #2 Please help. ty. Use the integration test to determine if the series converge or diverge...

A: We need to find series converges or diverges by using. integral test

Q: Solve each exponential equation.Express irrational solutions in exact form and as a decimal rounded ...

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Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) %3D X...

A: Solve the following

Q: Assume that x and y are both differentiable functions of t and are related to the equation: y = cos(...

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Q: Find the derivative of the function

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Q: does this integral converge or not?

A: Solve the following

Q: Use the substitution formula, f(u) du where g(x)=u, to evaluate the following Integral

A: We uses substitution method to solve these problems

Q: bacterial A. at grate proportionel Culture pth go routh a popeletion if ta population is 1 melien 1....

A: Let P be the population at any time t. Given that the population grows at a rate proportional to its...

Q: Find the indefinite integral 

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Q: Find the exact values of the other 5 trigonometric functions given: cot?=−5/3 ??? csc?>0

A: Consider the trigonometric function cotθ=-53,cscθ>0 Here, the objective is to find the other 5 tr...

Q: Find the antriderivative. Check your answers by differentiation 3.) (3x^sqrt3) 4.) sec3xtan3

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Q: Its distance traveled is givE measured in seconds and S is measured in feet. X What does s'(3) repre...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Calculus Question

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Q: Q2 Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 + 14p = 0 | a...

A: x2 + p2-2p+7x - 5y + 59 + 14p = 0x2 + p2+14p + 49-2p+7x - 5y +10 = 0         (replacing 59 by '49+10...

Q: 7²y+3y1 = -8 dy/dx %3D

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Q: 16.2)Evaluate the integral

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Q: n. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does n...

A: We have to find the following conditions

Q: Please please please do both

A: Use formula to calculate

Q: Find the accumulated amount after 3 years if $5000 is invested at 7%/year compounded continuously. (...

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Q: A karat is measure of the purity of gold indicating how many parts out of 24 are pure.  Calculate th...

A: We will use concept of ratio to solve this.

Q: Which of the following expresses1+4+16+64+256 In sigma notation?

A: To expresses1+4+16+64+256 In sigma

Q: DETAILS -24x2. Verify that the function y = 2x- 6x + 10 satisfies the differential equation -y"-xy'"...

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Q: Integrate dx/(sinx+cosx)

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Q: 3.d.1 Lineal Algebra Please provide a well explained solution for the following.  when A is 2x2, wha...

A: A is 2×2 order matrix is invertible if the determinant of A is not equal to 0.then A is invertible a...

Q: The radius r of a sphere is increasing at a rate of 5 inches per minute. (a) Find the rate of change...

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Q: 2x lerivatives from first principle, find the derivatives of y = 5 V3x-e2x-(xln x)(In(In x)) -2e2x) ...

A: We have to find the derivative from the given function

Q: Which equation in polar coordinates has the same graph as the equation y = 5x – 1 in rectangular coo...

A: Conversion of rectangular coordinates to polar coordinates

Q: Solve each equation.Express irrational solutions in exact form and as a decimal rounded to 3 decimal...

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Q: Suppose a sample of a certain substance decayed to 65.6% of its original amount after 300 days. Let ...

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Q: 1) Find the critical numbers. 2) Make a table, listing the independent values of the endpoints and c...

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordin...

A: We have to find the volume by using triple integral

Q: Evaluate the integral 

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Q: Graph the function that shows the solution of the initial value problem dy/dx = 4x, y=8 when x=1. W...

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Q: A fence 8 feet tall runs parallel to a tall building at a distance of 4 feet from the building. What...

A: Answer 

Q: Compute the area enclosed by the curve r = 30 – 1 for 0 <o<T. O ² – m) - O T² – - T Зл3 — Зт? + я O ...

A: Area enclosed by a curve is given by- A=∫ab12r2θdθ In the given curve, r=3θ-1,a=0,b=π Then, A=12∫0π3...

Q: VZx-V6-2 lim 4-

A: We’ll answer the 4th question since we answer only one question at a time. Please submit a new quest...

Q: Use a finite approximation to estimate the area between the x-axis and the graph of f(x)=2x^5 betwee...

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Q: Consider the function: f(x)=(ln(x))/(x^7) Find the critical numbers for the function.

A: given function:-    f(x) = (ln(x))/x^7 To find critical number find the derivative first    

Q: Evaluate the limit using the Basic Limit Laws

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Q: The sum formula for the sine function is sin(A + B) =______

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Q: 1 a) Find the power series representation for the function 1-2x Determine the interval of convergenc...

A: According to question given thatf(x)=11-2x

Q: Solve differential equation  (3xy+y2)dx +(x2+xy)dy=0

A: Topic-differential equation

Q: #26 #4

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Q: Find the antiderivative for each function WLen C =0_

A: Integration