5. The velocity of a moving object, in feet per minute, is given by: v(t) = t? 7t - 7t + 10 a. What is the total distance traveled by the object during the first 2 minutes? 2sts10? b. What is the average velocity of the object during the time interval v(t)dt c. What is the value of and what is the meaning of this answer? d. Find the acceleration of the object at t = 5 min.

Q: Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and g...

A:

Q: 1 -dr. a In r| Find 3.

A: Let's find. 

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the sq...

A: lets the size of square is l so the rate of change of length = dl/dt = 3 m/sec area of square = l2 r...

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become les...

A:

Q: 1. Determine if the series * (H) cos en? n=1 is absolutely convergent, conditionally convergent, or ...

A:

Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Q2 : Find d'y /dx? Y = xtan (=)

A:

Q: S 6w+12w -6

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A:

Q: Which of the following is the derivative of f (x) = 6/a O r(2) f' (x) = %3D 3 f' (æ) = %3D O f' (x) ...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: wo-period OLĠ model. Fc pose that preferences 3 In c2(t + 1) (2)

A: OLG MODEL : Overlapping Generations Model- 1) Time is discrete and runs to infinity. 2) Each individ...

Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: Evaluate the given integrals. dx 3. Csc 3x-cot 3x

A:

Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

A:

Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost...

A: Solution is given below:

Q: dy for the following expressions. d.x Problem 15: Find a) y(x² + 8) = 64 b) r³ + y³ : 6xy

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: * 00 R a1gissod snuiod /L • Question 4 Find the average rate of change of g(x) = - 4x° - 5 from x = ...

A:

Q: The equations for two planes are given below. a) Determine a possible value of k for which the plan...

A:

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy ...

A:

Q: Evaluate the definite integral. dx | 25 + (x + 4)2

A:

Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: FIND THE AREA OF REFION BOUNDED 3 J=メリ=8,*o Xs. end

A:

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: The management of the UNICO department store has decided to enclose an 883 ft2 area outside the buil...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Q3/B/ Find the value of unknown in the following 1 -2 7 1 -2 7 ? -2 7 19 5+4 ? 1-5 16 6 ? 3 6 -3 3 6...

A: 1-271956c3 + 1-274b16-33 =a-275166-33First row and third row:There are no additions being done on th...

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing throu...

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

A:

Q: A - Evaluate the following integral. e2x cos3x dx

A: Given I=∫e2x.cos3x dx

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

A: Explanation of the answer is as follows

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Let Sbe the solid in the first octant situated between the planes z+y+z=6and 3z +3y+ 2z - 18. Find t...

A:

Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 &amp; R4,5,1 To find Area of triangle PQR

Q: Find the domain and range of the function graphed below. 5- 2 -5 4 -3 -2 I234 5 2 -4 -5- Domain: Ran...

A: From the given graph we can see that the given function exists for x belongs to [-1 , 2)  

Q: Sketch the region enclosed by the curves and find its area. y = cos 8x, y 0, x = 16' 8. NOTE: Enter ...

A:

Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

A:

Q: olynomial graphed below -4 -2 -3 -4- y(x) =

A: Topic:- polynomial

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the ezact answe...

A:

Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of th...

A:

Q: lim ( In 2x + 5) + 4 X-1

A: The given limit,       limx→-1ln 2x+5+4

Q: dy sin: 8. x +2y = dx y(2) = 1

A:

Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (a) Prove that L 6. f(t) dt = f(h(z))h'(z) – f(9(z))g'(z). [Hint: Rewrite the integral part using an...

A: Given

Q: How can we determine this unit circle by filling them?

A:

Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE? Prov...

A: Let's find.