The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(12t - sin(12t))i + 4(1 − cos(12t))] Find the velocity vector of the point. v(t) Find the acceleration vector of the point. ä(t) Find the speed of the point. s(t) =

Q: State the order of the given ordinary differential equation. Determine whether the equation is…

A: We are asked to find the order of the given ordinary differential equation

Q: 5. Part 2. Solutions to Some First Order DE. Solve the following DE: dy 2y 3x + ; y(1) = −1 dx x 2y

A: Use substitution method

Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

A:

Q: A student is classifying the following contexts as either permutations or combinations. Finding how…

A: This is a problem related to permutation and combination. Based on the general definition of both we…

Q: integration function -1 ₁ 2²√x+¹(xy + 1)dydx 817718418 20 20 40 20 not of above - A - B - C - D

A:

Q: This question is designed to be answered with a calculator. The equation of the line tangent to the…

A: In this question, we want to find the tangent to the graph of the given function.

Q: Solve the system by inverting the coefficient matrix and using the following theorem: If A is an…

A:

Q: If the rate of change of R is inversely proportional to R(x) where R > 0, and if R(1) = 35, and R(4)…

A:

Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: In a survey, 90 high school students were asked if they are currently enrolled in Biology or Social…

A: Here we have to find the number of students who are enrolled in social science.

Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

A:

Q: Find an example of a subring of Z[x] which is not an ideal of Z[x].

A:

Q: f SECAdX 11 TAN ² x + C

A:

Q: Exercise 4 Calendar Surname, First Name MI. B Calls Show all the necessary figures and solutions to…

A: Area between curves

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 C. 7x D. 14

A:

Q: For this process we'll use the function f(x) = -x² + 6x - 7. You might find the following links…

A: Hope I answered as you required

Q: Express the area in terms of integration. A. 1² (y + ²) dy B. L²(y + 2) dy C.S (y + 2) dy D. ³₁(y +…

A: Let's find area in integration term.

Q: Evaluate Hf [n²ty) dv G₁ kebrood if G is the solid bounded by an ounded by 2013 the parabolic…

A: Integrate with respect to  z ,y and x and put limits respectively .

Q: What is the interval of convergence for power series 00 Σ2nx"? n=1 A. [-1,1] B. (-1,1) C. (-∞,∞) D.…

A:

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: Given

Q: Which of the following is not a hypothesis of the Integral Test? Assume f(x) is such that a = f(n).…

A:

Q: fidencos 3 Evaluate If (n²7y) dv kabrood if G. As the solid bounded by is the parabolic cylinder…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A: The radioactive decay rate is proportional to to the amount of substance is present at time t.…

Q: y"=x²+3y'-2y, where y(0)=1and y'(0)=3

A: In this question, we want to find the solution of the given second order differential equation with…

Q: Q2: Find the double integration ff (4x + 2)dydx D={(x,y):0<x<2,xẻ<y<2x}

A:

Q: Q3:A. Determine the following function U is harmonic or not x y U = 3 + cos sin

A:

Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Use the Fundamental Theorem of Calculus to evaluate the integral: 5/4 sin x dx. Jπ/2 C. A. - B. D.…

A: The objective of the question is evaluate definite integral using the fundamental theorem and choose…

Q: is Fill in the following blanks: (( = 3x² cos 5x), 5) By using the method of undetermined…

A: We need to complete the given fill in the blanks.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: View Policies Current Attempt in Progress Compute the product by inspection. -3 0 0 -1 -5 0 40 5 -8…

A: To compute the product of given matrices.

Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

A:

Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

A:

Q: What is the value of p = lim+¹ when applying the Ratio Test to assess n→∞an a convergence of? What…

A: Given problem:-

Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: B. Use Green's theorem to evaluate f (x²y) dx + y² dy Where C is close path formed y = x and y = x³…

A:

Q: Jasmeen asked 48 people if they preferred M&M's or Smarties. • 31 people liked Smarties • 16 people…

A: To find the error and correct Venn-diagram.

Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A:

Q: P(AB) P(A) 13- P(B/A)= P(A)=0 (a) (c) P(A) #0 on condition that P(A)= (b) (d) P(A)=1

A: We know that P(B/A)=P(A∩B)P(A)

Q: A) For the functions below Find fx. fy fy and fy (Answer the Mary). 1)f(x, y) = x²y + cosy + y sinx.…

A:

Q: If it was 3 A = [ ³₁ 2] 4 So 4² = 123 20 8 5 - A 16 A² = [¹64] - B 9 13 5 A² = [ - 11/2 - C A² = [16…

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A:

Q: و - هاد -3 10) dy dx 1 x cos y

A:

Q: Some graphing calculator only accepts common logarithms, then the equivalent equation a student…

A:

Q: Find the angle ū= , V = degrees

A: To find the angle between the given vectors.

Q: y (6) cosh(y) + yy" = 7y³ A - a non-linear differential equatio n of the sixth degree. B - a linear…

A: