Find the velocity and acceleration vectors in terms of u, and ug- de a0 r= 5 e and = 1 - dt v=Ju, +Quo y =

Q: If lal = 6, Ibl=5 and the angle between a and b is4, find a- b.

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Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

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Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: the line tangent to the graph of f at the indicated value of x. Find the value(s) of X where the…

A: The given equation is  f(x)=ln(4-x2+2x4); x=1.

Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i…

A: The Solution is given below

Q: 9. Find the vertical and horizontal asymptotes of the function. X-8 f(x): х2 — х — 6

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Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Let us assume that radar station to be at ground level. Then representation of plane and radar can…

Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

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Q: n Apply the Integral Test to the series E n=1 n²+1

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Q: dz 2. Suppose z is a function of r and y and tan(VT+ y) = e**. Determine az and ду

A: Here, the given that z is a function of x and y with: tanx+y=ez2⇒z2=ln tanx+y...(1)

Q: dy x- +9- tan-1x = 0 dx

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Q: 6. Two triangles can be formed using the given measurements. The other measurements of the triangle…

A: For other triangle m∠B=180-55.092=124.908°m∠C=180-124.908-41=14.092

Q: Find the limit 19sin(5x) lim 28x x-0 a. 5 28 Ob. 95 28 19 О с 28 d. None of these. O e. 95 28

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Q: Find the Indeftnite Integral and check the result by differentiation. (5x) Step 1 To obtaln the…

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Q: The growth of a certain species (in millions) since 1980 closely fits the following exponential…

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Q: Find an equation of the tangent line to the graph of x* + 3xy? + y = 15 at the point (1, 2).

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Q: PERFORMANCE TASK 1. The population of a city years from now can be modeled by the function P(x) =…

A: Concept: Graph: A graph is a graphical representation of data that is organized on a graphing plane…

Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: 7. Find the exact x-value where the function f (x) = x +ln (7² – 1) attains a maximum value. An…

A: Given; f(x)=x+ln(x^2-1)

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: An entrepreneur decided to set up a soda business. Due to this intention he bought a PET bottle…

A: 1 year = 365 days

Q: The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t =…

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Q: Classify the statement as either true or false. If f is continuous at x= 2, then f(2) must exist,…

A: Given query is to find statement is true or false.

Q: Evaluate the limit In(x) lim x+1 x- 15x+ 14

A: Given,  limx→1ln(x)x2-15x+14

Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits

Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Given the graphi of the function f(x) below, answer the following 37 26 8 16 -10- 20- Enter T for…

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Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

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Q: f'(x)= -+e²* +x°and f (1) = Find f(x) Given 5.

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Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=<6,0,0>-2<0,4,2>+<3,0,-1>…

Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: Find each limit. Use - o or ∞ when appropriate. 4x-4 f(x) = - (x- 4)? (A) lim f(x) (B) lim f(x) (C)…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e'V5)i+…

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A: Solution is done in step 2

Q: 4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10…

A: We will use Sine /Cosine rule to find the triangle.

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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