Question The position of a car traveling along a highway is given by the function s(t) = -13 + + 12t - 5 where t 20 is measured in seconds ands is measured in 912 %3D meters. On what interval(s) is the car speeding up? (Enter your answer in interval notation. If entering more than one interval write the intervals as a union.) Sorry, that's incorrect. Try again? OB .553 21 dtvN MacBook F

Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What p...

A: Given query is to find the percentage of students passed the test.

Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: yi + yi = 1, when x = 0, y = 4

A:

Q: Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area o...

A:

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

A:

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

A:

Q: Give some examples of limits in real life situation (preferably in a persons life)

A:

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

A:

Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

A:

Q: 5/ 2 Vx 4. f (x) 4-3x ||

A:

Q: What’s the derivative ? f(x) = xe^-x3

A:

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

A: Given query is to find the limit of the expression.

Q: Let S be the sphere of radius 3, centered at the origin, oriented outward. [x³ + 2 sin(z)] y3 – 10xz...

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

A:

Q: 2. Matching type: Match the functions in Column A with their corresponding antideriva- tives in Colu...

A: so in column A is given the derivative of column B so we derivate the column B a F(x) = 3x3 - x now ...

Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

A:

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

A:

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

A:

Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A: We have to find volume of revolution about x ax

Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

A:

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: Consider

A: Please refer to the image below

Q: Evaluate the following. x2 - x 1 dx J1+3x2 – 2r3 CO 2 dx 1+2 sin a x2 +2 dx r+1 2)

A:

Q: yi + yi = 1, when x = 0, y = 4 %3D

A:

Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: se the Leading Coefficient Test to describe the right-hand and left-hand behavior of the graph of th...

A: Given query is to find the end behaviour if the graph.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

A:

Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

A:

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

A:

Q: cotx da cos I da sin r 3.

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the...

A:

Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

A:

Q: cos(x + y), when x = 0,y =" dx

A:

Q: Using the integration bay parts formula with u = x², dv = cos x dx, the integral x* cos x dx becomes...

A: Given u=x2   & dv=cosx dx∫x2 cosx dx  

Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

A: