In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a straight line. Fill in the boxes to complete the following statements about Molly's motion. (i) Molly's displacement at a time t is given by the formula s(t) m. (ii) Molly's velocity at a time t is given by the formula v(t) m/s. (iii) Molly's displacement at time t = 2 is metres. (iv) Molly's velocity at time t = 2 is metres per second.

Q: T/2 X dx tan 2 33.

A: We have to find out integral

Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

Q: Write the sum using sigma notation: 8 +5+2+... + - 1 i = 1 Question Help: DVideo MMessage instructor…

A: topic- arithmetic sequence

Q: Given r→(t)=⟨cos⁡2t,−sin2t,4t⟩, find the unit tangent vector

A:

Q: equation for the translated function? A. y+5 Ax + 4) B. y-5 - Ax-4) C. y+5 = (x- 4) D. y-5 (x + 4) |

A:

Q: Evaluate: J Vx – 4x² dx 2

A:

Q: 6. Find the intersection of the line I and the plane t. 1:7 = (4,–1,4)+t(5,–2,3) T: 2x+5y+z+2=0

A:

Q: 3:) Consider the function g defined by g(x ,y) = cos (TXVG) + logg (x-y) 3 (b) calculate the…

A:

Q: Use "w) = d 1 1 to find the derivative of the inverse at the indicated point. dx d 1 Let f(x) = 2x+…

A: Given : f(x) = 2x + ex cos x

Q: (b) perimeter of AABC ВС perimeter of ADEF EF 2 So perimeter of ADEF = 15cm 7.5 perimeter of ADEF 4

A:

Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

A:

Q: Find the first five non-zero terms of Taylor series centered at æ = 3 for the function below. f(x) =…

A: Let's find.

Q: kindly answer immediately, thanlyou somucchhh Determine the equation that passes through (-2,-3)…

A: Given query is to find the equation of the line.

Q: I need answer within 20 minutes please please with my best wishes

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: (x) = Vxcl

A:

Q: 1 4 dx 2 /1 – x²

A:

Q: eventually

A: We will solve the problem.

Q: tangent

A: Please refer to the image below

Q: 2. Evaluate ř(t) dt: 4 4t ř(t) t2 + 5t + 6' î + 2e4t cos t j - k; a = 0 and b = 4 t2 + 1

A:

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: We can find the equation of sphere as below.

Q: ex que: / e2 + 1 tal que: Determine el valor de a E R 4

A:

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

A:

Q: 1. S7e*dx = 7et 2. S(5e* 6*)dx 3. § 3(5*)dx:

A:

Q: ey 6-2е2у ydy

A:

Q: Consider the integral + 2) dr (a) Find the Riemann sum for this integral using right endpoints and n…

A:

Q: Find the equation of the fangent line to the graph of the function f (z) sin (3,/7) at the point…

A:

Q: -At the minimum point the value of second derivative is choices a. imaginary b. negative c. positive…

A: Solution: At the minimum point the value of the second derivative

Q: Write an equation of the line parallel to x+8y=0​, such that the point ​(7​,9​) is on the line.…

A: Given query is to find indicated line.

Q: Use the root test to determine whether the series 7n -n-2\" 3n2 +n+ 4 converges or diverges. Since…

A:

Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) = - M1+tanh 2 satisfies the…

A: Here, the given function is: y(t)=12M1+tanhk(t-a)2...(1)

Q: Find all the derivatives of the following functions f (x) = x° + 4x* + 3x° – x² + 6 - 1. 1 12 g(x) =…

A: Let's find.

Q: Question 1 6n + 2 6n+2 Let and an 5" 5" n=1 an+1 a) Find lim an 6n+2 b) Determine whether 2 is…

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

Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

Q: Determine if the function is odd, even or neither * x2-1 x²+1

A:

Q: Kndly answer immediately   If f ‘(x) > 0 for all x = (a, b), then function f in the interval is a.…

A: topic- derivative of function

Q: Question Find the lower sum for f(x) = 5- on the interval [1,5] using 4 rectangles. Submit your…

A: Given f(x)=5-5x2  interval [1,5]Number of rectangle =4

Q: 1. x'dx LE 2. x3 + 2x? dx 3. + 3x? + 1)dx

A: "Since you have asked multiple questions, we'll solve the first three questions for you. If you want…

Q: Given F(x) below, find F'(x). cos (x) F(x) = (1² + 10) dt 3

A:

Q: 5sin 4xcos 2xdx

A:

Q: the choices for this question is a. 5x - 3y +19 = 0 b. -5x + 3y -19 = 0 c. 5x +3y -19 = 0 d. 5x…

A: Here is the answer given below

Q: In what way did theorems/techniques of antidifferentiation help you find the integral of an…

A: Given

Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

A:

Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: dx 3. I 32x 4. J sin x tan x dx dy 5. J gy²+6y+5

A:

Q: (v) sin"x y = ne Inx? y = 1+x? (vi)

A:

Q: 3:) Consider the function g defined by g(x ,y) - cos ( TX VG) + loga (x-y) 3 (6) calculate the…

A: The function g(x,y) is defined byg(x,y) = cos(πxy) + 1log3(x-y)=cos(πxy) +…

Q: / Find the volume of the solid generated by revolving the region bounded by y = vcos x, y = 0 & osxs…

A: Volume of solid of revolution

Q: dx J Tx2 – 25

A:

Q: 00 et -dx 2x +1 π 4 a

A:

Q: can you write it out on paper I cannot understand this typing format

A: Let's find.