Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0

Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: If C(t) = 46.5t e -0.24t measures the concentration, in ng of a drug in a person's system t hours…

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Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: x = x1 + x2 x2 = -2x1 + 4x2 х1 (0) %3D 1; х-(0) 3D 0 %3D

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Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

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Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=&lt;4cost2,4sint2,6t&gt;

Q: Find the value of n in the following definite integral. S“ 4x*dx = 1

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Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

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Q: 8. A lamina occupies the top half of the disk x² +y? <4. The density at any point on the lamina is…

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Q: t- 36 Let g(t) = VE -6 a. Make two tables, one showing the values of g for t= 35.9, 35.99, and…

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Q: 5. A boater wishes to cross a canal that is 3 km wide. He wants to land 2 km upstream from his…

A: We need to find direction and time.

Q: The number N of beavers in a given area after x years can be approximated by the following. N = 5.5…

A: Given  population of beavers in a given area after x area N=5.5×100.23x    ,  0≤x≤10

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: F (x) = f (t³ – t)°dt. Find the derivative of O 5(t – t)* (3t² –- 1) (23 – z)* O 5(2³ – z)“ O 3t2 –…

A: To FInd:  derivative of the given function

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

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Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: i cos r-dt can best be evaluated by: A Trigonometric Transf ormation (B) None © Power Formula D…

A: Solution: ∫t cost2dt

Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Find div F and curl F if F(x, y, z) = 9y%z®i – 4x°z1°j – 5xy°k. - -

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Q: Describe the graph of the equation. r = (6 – 31) i – 81 j O It is a line in 2-space that goes…

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Q: ||r'(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j + 3tk…

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Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

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Q: For the function f(x) ex x>0 a) Determine the coordinates of all critical points. b) Use the first…

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Q: x*dx Using trigonometric substitution , (1+x²) = A) None sec³9d0 B tan20 tan*Ode sec®

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

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Q: Find div F and curl F if F(c, y, z) = 10e*Y i – 9 cos yj+ 4sin? z k. div F= curl F=

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

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

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

A: I am attaching image so that you understand each and every step.

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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Q: Evaluste the line integral using Green's Theorem and check the answer by evaluating it directly.…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A: topic- differential equations

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: 2n Graph the sets of points whose polar coordinates satisfy the inequalities Osrs1. Choose the…

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Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: Consider the initial value problem. y'' − y' = ex,              y(0)=0,   y'(0)=0 (a) Write the…

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