Suppose the position of an object moving in a straight line is given by s(t) = 3t-: -7t-10. Find the instantaneous velocity at time t= 3. C..... The instantaneous velocity at t=3 is.

Q: In Exercises 3-10, determine whether the series converges absolutely, con- ditionally, or not at all...

A: Given: ∑n=1∞-1n1+1n

Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: Find the measure of each sic 5) 43° 57 C 12 Y A 64° 7

A: Given that:                       

Q: Let f(x) = 2x + 2x 5 Use the limit definition of the derivative to calculate the derivative of f: f'...

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 35 dx 3e 1. J- Ve3x...

A: Given query is to find the value of the integral.

Q: 4 -2 -3 -4 -6구 The graph above is a transformation of the function f(x) = |x| Write an equation for ...

A:

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

A:

Q: If y = (x? – 4)2 - 2arc sec find y'. 2' Vx² – 4 Vx² – 4 1 Jx² – 4_ 1 4 A. В. C. +- D.

A:

Q: 21) In Problems 21 through 26 are given (xa)'= a xa-1, (x)' = 1, ( constant )'= 0, (sinx)' = cos x, ...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Evaluate the integral 3 sin(t)dt

A:

Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions whe...

A: Here we have to find the arc length of the given function.

Q: Use the Simpson's Rule to approximate the given integral with n = 8. (Find S8.) Round your answers t...

A: Given,∫0211+x6dxHere n=8, therefore h=b-anh=2-08h=14 Now we create table  x 0 1/4 1/2 3/4 1 5/4 3...

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

A:

Q: 15 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the graph has a cubic behav...

Q: 3x+4 > [1] S dx x² +3x+2

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x-2 2 + x

A:

Q: Consider the differential equation x²y" – 8xy' + 20y = 0; x4, x5, (o, ∞). Verify that the given func...

A: We have to find general solution Y.

Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

A:

Q: 9, f(x)dx f(x)dæ = 4, f(x)dx = 6. %3D Suppose %3D | f(x)dx (9f(x) – 4)dæ

A:

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

A:

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:                        

Q: Drawing Example 1: Use the definition to find the derivative of the function f(x) = x? - 2x Solution...

A:

Q: lim COos x –1 x→0 x² – x³

A: To evaluate the given limit.limx→0 cos x-1x2-x3

Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...

A:

Q: 3. You have a choice between a base salary of $1800 per month or a base salary of $1600 plus a commi...

A: Given query is to find the amount of sale for which both salary option will be same.

Q: VE-Vyt1 Let f : ACR² →→ R be given by f(x, y) I-y-1 Write, if any, the limit below to 4 decimal plac...

A:

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 lim f(x) = -2, X → 2- lim f(x) = 2 and f(...

A:

Q: sin z Differentiate y =

A:

Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x) ...

A: Given that: y''-y'-20y=0

Q: Determine the infinite limit. lim In(x2 – 25) x-5+ 00 -00 8

A:

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: 3 Į>(4»*+ 12y²+ 9) *dy A (2y²+3) 2 3 B(2y²+3) © (2y²+3) D 4y4+ 12y²+9 None

A:

Q: tanh 2x ln (cosh 2x)dx

A: Evaluate the integral ∫tanh2xlncosh2xdx

Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq. ...

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: Given f(x) = 250 e 0.04x solve f'(x) = 100. %3D X = (Round answer to nearest tenth.)

A: Given that: f(x)=250e0.04x

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A:

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: Karen decided to put her money into two investments. She deposited an amount in an investment paying...

A:

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression b...

A:

Q: Example 2: Use the definition to find the derivative of the function Solution:

A:

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

A:

Q: Error Analysis. Below is the sSolulion (possibly, wilth errors) for the derivative of the given func...

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A:

Q: To evaluate: the integral function / sin tcos*t dt.

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: The graphical method of linear programming is restricted to problems having no less than three varia...

A:

Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: or f'(9)- f(9)

A: Follow the procedure given below

Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and fractio...

A:

Q: If 11 < f(x) < 19, then | f(x)dæ <

A: