Please

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given :r(t)=cos(πt)i-ln(t)j+t-14k ; t0=15To find : The domain of r(t) and the value of r(t0)

Q: b) Solve the given homogeneous differential equation subject to the indicated conditions. y" + 2y' +…

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Q: Evaluate the limit sin 3x lim 9x

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Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

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Q: Find the equation of the tangent line (s) to the following set of parametric equations at the given…

A: Given parametric equations of a curve.

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

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Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

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Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3y" — Зу' - 2у %3D е",…

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Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

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Q: k 7) Determine the interval and radius of convergence for E k! x"

A: Given

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Given problem:-

Q: Given the function g(x) = 6x° + 72r² + 270z, find the first derivative, g' (1). gʻ(x) = Notice that…

A: g'x = derivative of gx with respect to x g''x = derivative of g'x with respect to x if at  point…

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

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Q: If function h has an inverse and h(- 5) = - 4, find h( - 4). h(- 4) = O

A: Find h(-4)

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: 11. If f"(x)=-4sin 2.x, f(0)=0and f'(0) =2, find the value of f 4 %3D

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Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

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Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

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Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: d²y 2. Find the second derivative, dx2 a. x = t2 + 1 and y = t3 t2 + 2 and y = sin(t + 1) b. x = | 2

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Q: Evaluate the indefinite integral. x2 dx V0.2x3 + 2.7 + C

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Q: 14. E sin x dx cb

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: 5. S 2x' dx 6. S*-5x* dx x3

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Q: Find the integral value for the following functions

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Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

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

Q: Given that i = and i = and that i • v = 188 determine the value of the constant A.

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Q: 4. sec 4x tan 4x dx

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Q: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý - y = e*

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Q: 3x2 dx x3 COS xesinx -5 a) b) dx c) 4x dx esin a X-4 1 /n

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Q: Solve e2x + 7ex+6=0 Show every step.

A: Here we have to solve the given problem.

Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

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Q: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

A: (a) all the edges of the cube expanding at the rate 5cm/sec Here length of the edge denoted by x and…

Q: Evaluate the integral and interpret it as the area of a region. 6x + 7 - x dx 55, 55 - 32 9 9 Sketch…

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Q: 13. Explain in your own words what a limit is. Use several diagrams and be sure to consider lim…

A: This is a problem of limit. Based on the general formula we will answer the question.

Q: Q2) Convert the polar function r tan20 to cartesian. %3D

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Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

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Q: Scsc" 2 ede 4 CSC

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Q: Consider vectors U and V with magnitudes |U= 55 and | = 70 units, separated by an angle of 90. Let I…

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Q: Suppose the motion of an avalanche is described by the function s)- 4, where s is the distance in…

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

Q: 1. メーメー2 xペー5x+6

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Q: d d Calculate r1(t)· r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: 4. The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 0.2 inches. What is the approximate…

A: Let's find.

Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

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Q: Use an appropriate definition to prove the following limits. x³ – 16x* = 1 I+0 r°+ 4x² x +2 V9x2 + 4…

A: This is a problem of limit . Based on the formula and concept we will answer the question.

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: dx メ-1

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