A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its velocity a %3D t=0 is v(0) = 9, What is its position at time t = 4? %3D Submit Question

Q: 1. Given: - Ar with f'(x): (x+ 2)2 r(x + 8)(x – 2) (r +2)3 8(7x-4) (r +2)4 S(x) = and f"(x) = a.…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim Xn inf {xn :…

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: r2+vZ 1. =dx |4x – x²

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Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y        Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

Q: Find a polar equation for x? + y² = 2

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Q: show

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Q: Part 2. Math column A to column B by finding the slope of tangent line at any given point and write…

A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: Suppose sin (a) : and the trigonometric point P(a) is in the third quadrant. Use a trigonometric…

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Q: "ind general solution for dy dy + 3 + 2y = -20 sin 2t, y (0) = 2, y' (0) = 1. dt2 dt

A: Ode

Q: 32 3.

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Q: In x 35. lim

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Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: xdx + ydy == (x² + y²)dx

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Q: 7. Approximate (22 + 3) dz using four rectangles and the left endpoint method.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Find an equation of the plane with the given characteristics.   The plane passes through the point…

Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

A: To answer the given questions using the given graph.

Q: ∫sec^2 x / tan x +1  dx

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Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

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Q: 1. Logarithmic differentiation. Compute the derivative of each function using logarithmic…

A: Due to bartleby guidelines,we have to solve only 1 question so if you want another answer so please…

Q: About 27% of the body of a person floating in the Dead Sea will be above the water line. Assuming…

A: Mass= density× volume

Q: 2 f(x) =-x³ + 3x² +9x (a) Find the critical points, extrema, and y int. (b)find intervals where the…

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Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

Q: B 11 a.) Find LA 17 A 18

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Q: Determine the intervals on which the following polynomial is entirely negative and those on which it…

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Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: y=6-2x-x^2; y=x+6 The volume of the solid generated by revolving about x-axis is ___________ to the…

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Q: 7. * In [In (In æ)]

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Q: 2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit…

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Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

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Q: If f (x,y) = In(x² + y²), then fx(x,y) + fyy(x, y) is: а. 0 x+y b. x2+y2 2х+2у с. x²+y2 d. Undefined

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Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

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Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

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Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

A: Given

Q: Please

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

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Q: Find the Maclaunin polynomial of degree 3 for the fuction. - ge

A: The given function is:fx=e-9xTo find the Maclaurin polynomial.

Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

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Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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