(-1)"12"" n² +3 Determine the interval of convergence of n=1

Q: Use the power series 00 1 + x n = 0 to determine a power series, centered at 0, for the function.…

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Q: Find the derivative of the following functions and simply it whenever possible. 7. y = (xe)x

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Q: 14. [csc° 0 de cscº 0 24 dy 3y +5 16. Evaluate o

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A: We know, d/dt (r1(t).r2(t))= r1(t).dr2(t)/dt + r2(t).dr1(t)/dt

Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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Q: Show clear and detailed solutions. (a) Find the general equation of the plane n passing through the…

A: Equation of a plane parallel to a plane ax+by+cz=0 is given by, ax+by+cz+d=0 , a,b,c,d are scalars.

Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q²+80q and…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

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Q: Determine if the following statement is true or false. The points P(1, 0, 1), P2(3, - 4, - 3), P3(4,…

A: Use the distance formula to determine whether given lines laying on a same line or not.

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

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Q: Find the derivative of the following functions and simply it whenever possible. 3. y =…

A: This is a problem related to derivative of the function. Based on the general formula of the…

Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

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Q: Find the derivative of the following functions and simply it whenever possible. 2. y = log√(2x+5)

A: Given: y=log2x+5   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And…

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: Evaluate the following integrals. x +3 a) dx. Vx? - 4x – 5

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Q: 8xー3x+x dx

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Q: om the tank at a rate of r(t) = 115e liters per minute. How much oil le

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Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

Q: 4. Find the equations of the line tangent to the intersection of the surfaces z = x´ + 2y and

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Q: Find the derivative of the following functions and simply it whenever possible. 10. y = x4(1-ln x4)

A: Let's find.

Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t = 0 1 1 1 T(0) = V3'…

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Q: 1. Linear equation of order one: dy-(r-2ydx=0

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Q: Find the Indefinite Integrals of the following: -3x* + 4x5 35 – sx . V1 – 1. 5* + 2 dx

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We will find the unit vector satisfying the given conditions in the following step.

Q: (cos 12t – cos 3t) dt 2 sin7t sin4t dt= A True (B) False

A: This question is based on indefinite integral and Trigonometric equation.

Q: 1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

A: follow the procedure given below.

Q: A water trough has an isosceles triangular cross section that is 55 m across the top and 12 m deep.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (x+6)dx (x+2)*

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Q: Solve for x. 17**8 = 113* x+8 Write the exact answer using either base-10 or base-e logarithms. x =…

A: Basic application of logarithmic properties problem

Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: A rectangular frame needs to have an opening of 21 square inches. The boards used to create the…

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Q: 15. What is the general solution of the exact differential equation (x + siny – cosy)dx + x(siny +…

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Q: he points P1(2, 0, 1), P2(3, - 2,- 3), P3(4, - 6, - 5) lie on the same line.

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Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: topic-  area bounded by curves

Q: tan zdr

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Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: t3 after takeoff (where s is in meters), If a rocket travels according to the function s = then its…

A: As per our guidelines we can help you in solving only first problem . Rest of the problems, you have…

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We have to  find the unit vector in the given direction.

Q: The graph of (=) + ) + (-) = 1 is a plane for any nonzero numbers a, b, and c. Which planes have an…

A: We have the following information about the given equation.

Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: Find the average rate of change of function f graphed below over the interval 4sx s 8. Compare it to…

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Q: Integrate completely

A: Solution-

Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

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Q: In(k) Does the series ) (- 1)* E(- 1)* k2 + 4 converge absolutely, converge conditionally or…

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