An object moves in a straight light according to the position function s(t) = 2te-t where s is in centimeters and t is in seconds. а. What is the initial acceleration of the particle? b. Find the velocity of the particle at the time when acceleration is 0. Find the displacement of the object over the interval [0,5]. d. Find the total distance travelled by the object over the interval [0,5]. C.

Q: The plane with normal vector (0, – 2, – 4) containing the point (-7,4,-3) has equation Aæ + By + Cz…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Let s be an acute angle and sin (s) = Find the value of cot () exactly. (Give an exact answer. Use…

A:

Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: Solve the exponential equation algebraically. Round your results to three decimal places. Use a…

A:

Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A:

Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

A:

Q: 1. State the domain and range of {(x, y)|y = + 3}.

A:

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

A:

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A:

Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

A:

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: 4 (2+ VT)5 5. Calculate 0.

A:

Q: Use the integral test to determine whet 2n n2 + 4 n=1 O converges O diverges

A:

Q: 1. Differentiate the following function: y = Jo Hs dt. 1+t3 ctan 2x 2. Differentiate the following…

A:

Q: In the following exercises, suppose →1 as n→>∞. Find the radius of a, that convergence for each…

A: We have to find the radius of convergence.

Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

A:

Q: Suppose sin (a) : and the trigonometric point P(a) is in the third quadrant. Use a trigonometric…

A:

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

A:

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x and y be the dimension of the farm. x be the side along the barn. y is the side where cost is…

Q: The graph of the velocity function v = v(t) is given below. Determine the distance trav- eled during…

A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: Which of the following definite integrals are equal to lim 5k `sin –1+ ? n00 k=1 n n I. sin æda II.…

A:

Q: 1. Apply Maclaurin's series to establish the power series of tanx.

A: Answer is in below step.

Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: Activity 2: Name Me in Three Ways! Directions: Determine if the given function is continuous or not.…

A:

Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

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

A:

Q: A mechanic uses a one foot wrench to turn a bolt. The wrench makes a 29° angle with the horizontal.…

A:

Q: Solve the differential equation. dy = 5 ex-y dx

A:

Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Sa413 - 3x5/2) dx x4/3, 5)

A:

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

A: This question can be solved by applying the concept of vector of magnitude x in the direction or in…

Q: Apply region based segmentation for the sequence: F={7,5,9,1,10,2,9,12,4,11,3,17,16,19,15}…

A:

Q: Expand cos'x as a series of ascending powers of x.

A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…

Q: Assume that ū. i = 3, |ū| = 5, and |õ| = 6. What is the value of 5u. (4ü – 87)?

A:

Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 4, 0), P3(0, –…

A:

Q: The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite…

A:

Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: 4y 1. Find all values of x such 49. Let F(x, y) = 2xy + 3x that F(x, x) = 0. %3D I

A:

Q: 197 Find the sine and cosine of - 12 197 Note that 12 Use sum or difference formulas involving…

A:

Q: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

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

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

A:

Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: Use the Root Test to determine if the series converges or diverges In n n 9n-10 n-1

A: We can solve this as follows:

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.