A particle travels along the x-axis such that its position is given by æ(t) t22 sin (2t). What is the velocity of the particle at time t = 1.5? You may use a calculator and round your answer to the nearest thousandth.

Q: Evaluate the double integral / F(r, ®) dA. "* (3 cos(8) r dr de Sketch the region R. 7/2 A/2 2 1 2 2...

A: To evaluate the given double integral: ∫0π∫03 cos θr dr dθ

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A:

Q: Find the general solution of'the differential equation and check the result by differentiation. (Use...

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact answ...

A: The given question can be solved as shown in step2

Q: d’y dx² 5 + 6y = 3x+3 dx

A:

Q: Determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to co...

A: In this question we have to find x-intercepts.

Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

Q: The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance trave...

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

Q: Given that log(6) ≈ 0.7782, find the value of the logarithm. log(36)

A: Wr have to find the value of log(36)

Q: dP to find the solution to the problem dt K 7. Use P = 4P Р() — 4. 1 - 1+ Ce-at 20

A:

Q: D- Hyperbolic Functions ) y= cosh (dx-1)

A:

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes thro...

A: Topic = Coordinates geometry

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

A:

Q: Using implicit differentiation, what is the value of dy/dx in 4x-x²y+y³ = 10 at point (1,1)?

A:

Q: Find the minimum and maximum values of the function f(x, Y, z) = 3x + 2y + 4z subject to the constra...

A:

Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal dig...

A:

Q: ° (24 -2x + 2) I-4

A:

Q: 10. f(x, y) = (x - y)/(x+ y); R is the region enclosed by the lines y = x, y = 0 and the circle x +y...

A: Given function f(x,y)=x-yx+yand   R is the region enclosed by y=x   , y=0   and   x2+y2=1  in first ...

Q: * One hundred fish are harvested each year. * One-third of the fish population is harvested annually...

A:

Q: Determine the solutions to the following problems: dP = 2P – 10 dt dB — 0.001В — 200, B(0) — 100000 ...

A:

Q: -1 sec vo) do

A: We will use substitute method to solve the integral.

Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some o...

A:

Q: Suppose f(x) = [ 6t² /1+t° dt .

A:

Q: DDetermine whether the following integral.is convergent ordirergento If the integral Converges, eval...

A:

Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must c...

A: topic- application of derivatives

Q: For the demand function q = D(p) = 343-p, find the following. a) The elasticity b) The elasticity at...

A: Given  elasticity    find q' 

Q: models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account...

A:

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative

A:

Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

A:

Q: 1 dy : ? If Y = x² then da 222 2x

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 9. Solve. a) 4+6(4 *)= 5 b) 2(5) + 2(5) = 4

A:

Q: Write the standard form of the quadratic function whose graph is the parabola shown. (Let x be the i...

A: In this question we have to find the equation of parabola.

Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative 2. y = ...

A:

Q: WeXg+x*g²_x*y% show that wxy=Wyx fnd wiy if waflusu),u=メー 2wefluV)u=メーツ V=xy Express the answer inte...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern ob...

A: We have to find the differentiations of the give function and find y101.

Q: Consider the parallelepiped with adjacent edges u = 8i + 2j + k v = i+j+ 2k w = i+ 3j + 4k Find the ...

A:

Q: Find the critical point of the function f(x, y) = 24x – 4y² – In(|x + y|). - - c = Use the Second De...

A: see below the answer and explanation

Q: 00 (-3)* Consider the series > ak= k5 k=1 k=1 a) What is ak+1? ak-1 = ak+1? b) What is ak ak-1/a = a...

A:

Q: Given F(r, s, t) = r(3s² + 3t²), compute: Frst

A: Solution of question is written in below steps.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: 1+ 2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 why...

A:

Q: Evaluate lim, 0 (1 - )2". (Hint: take log) 6.5 O 1 O 2 O e?

A:

Q: Model radioactive decay using the notation t = time (independent variable), r(t) = amount of parti...

A: Find

Q: 14 es Approximate (x - 5) dx using 4 rectangles. om It is approximatley. em (If necessary, round to ...

A: Solve the following

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

A:

Q: 2. The position function of a particle is given by s(t) = (t – 1)²(t – 3) , where t is measured is s...

A: