A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its intial velocity and position are given by v(0) = 2 and s(0) = 5. Find the unique position function of this particle. Show %3D your work.

Q: dx - = In[F(x)]+C• What is F(/3) if C = 0? For (x+x³) (x Tan-!x+1) +- 3 3 + 6. -is -is

A:

Q: S cos2x – sin2x cos2x dr = 3 -F(x) +C•What is F(x)? For cosx – sinx (sinx – cosx) -3 2 –cos?x- s³x –...

A: Explained below 

Q: Given a curve Determine the unit tangent vector, T, the principal unit normal vector, N and the bino...

A: A

Q: Evaluate the derivative of f(x)=√x2-1, using the formula:

A:

Q: 2x 5х-3 + 3x 12 2. 4x2 – 16 > 0 (-0, 2], [2, c∞0)

A:

Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A:

Q: Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-...

A: solution

Q: Find the area of the region bounded by the curve y=1- and the x-axis. A 4 square units B 6 square un...

A: Solution is here

Q: A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds an...

A:

Q: cost

A: Please refer to the image below

Q: 1. Find the volume of the solid bounded by the paraboloids z = 6- x² - y and z = 2x? + 2y2.Use polar...

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

A:

Q: The antiderivative of fix), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: Given cost and price​ (demand) functions C(q)=120q+44,200 and p(q)=−1.9q+880​, what is the marginal ...

A:

Q: eIn (ale) (2- sec2x)em«"^sec³x sec( 3A – x) What should be the value of A for to be integrable using...

A:

Q: has the form - F(0)+ + C: What should be the value of e to make F(o)=0? The resulting integral of si...

A:

Q: d?y =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

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

Q: dx = In[F(x)]+C.What is F(3) if C= 0? For %3D (x+x³) (x Tan-x+ 1) A B -1 + 3 D -15 -15

A: Please see the below picture for detailed solution. 

Q: cos2x – sin2x cos2x - dx=- + C• What is F(x)? For cosx – sinx 2 sinx - cos?x – cosx+ sin³x 3 3 (sinx...

A:

Q: company produces a special new type of TV. The company has fixed costs of ​$486,000​, and it costs ​...

A: Given query is to find the price for maximum profit.

Q: e* What is the integrable form of dr? ex - e du du 1) 2 du du

A:

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A: In this problem:the time to go stone to the highest point from roof = the time for stone to go from ...

Q: Which of the following is an improper integral? | In(x++ 1) dr dr -4x²–x- 2 dx 2x+8 In3e cOsx dx xe ...

A: An improper integral can be termed as a definite integral that has either or both limits infinite or...

Q: If FX) is an antiderivative of x+ x. then what is the value of A(1) - A-1)? (A) -1 B0 -2

A: Finding F(1)-F(-1)

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

A:

Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of ...

A:

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3 ...

A:

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

A:

Q: d?y - =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve ...

A:

Q: Find the area of the region bounded by the curve y^2 = 4x and the lines x = 1 and x = 4.

A:

Q: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

A:

Q: dx = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1)

A:

Q: x2 and the x-axis. Find the area of the region bounded by the curve y=1-

A: SOLUTION-

Q: cos2x – sin2.x cos2x - dx = -F(x)+C. What is F(x)? 3 For cosx – sinx 1 (A (sinx – cosx osx) - B sinx...

A:

Q: sin-cos-sine de has the form 4 (0) +c. The resulting integral of +C. What should be the value of A t...

A:

Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

A:

Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: Determine the speed along a parameterized path c(t) (t4, e') at timet = 0 (assume units of meters an...

A:

Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: Given matrices A =, , compute 2A + B. and B %3D

A: To find the matrix of 2A +B when matrix A and matrix B are given.

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

A: Given query is to find the value of speed 

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: Use the equation given below to find

A:

Q: Find the area of the region bounded by the curve y=1- 2 and the x-axis. A) 4 square units 6 square u...

A: We have,