Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

Q: Find a vector perpendicular to the lines: 4₁: x = 3-4t y=-2-6t x = -1 + 2t y=4-t L₂: O O None of…

A:

Q: Is this matrix invertible ? Explain 9 0 9 0 0 0 0 3 0 0 0 1

A: Introduction: For a square matrix A, if the existence of another square matrix B is confirmed so…

Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

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

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: The given problem is to convert the given partial differential equations into the system of ODEs by…

Q: Question 1 Calculate the acceleration for t=7.3. Table 1: Velocity and time table Time 1 2 3.25 4.5…

A:

Q: 5. Interest rate. A 2-year loan of $4650.25 accumulated $269.75 in simple interest. Calculate the…

A:

Q: H.w 3: Apply the Trapezoidal rule to evaluate SiSit 2xydxdy (1+x²)(1+y²)' taking h = k = 0.25. 110 +…

A:

Q: A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Solution

Q: Q2: Find the area inside r = = 2(1 cos0) and outside r = = 2. O find th

A: The given problem is to find the area of region formed by given curves. Given curves r=2(1-cos(θ))…

Q: 2 4 A = 12 2 4 Solve the following. a) Describe the solution set of in the parametric vector form.…

A:

Q: A tank contains 210 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: For a given set of populations and house sizes, different methods of apportionment may lead to…

A: Answer is true.

Q: A consumer's behavior is described by the equation Yt = Ct + St where Yt, Ct and St stand…

A:

Q: (8) Find the infimum, minimum, maximum and supremum of each of the following sets (write d.n.e. if…

A: (8) To Find: Infimum, minimum, supremum, and maximum of the given sets S: 1. S=1-1n| n∈ℕ 2. S=x∈ℝ |…

Q: Characterize the following function in terms of notation. (a) f(n) = (n² + 2)(10n³ +5n-6)n¹, n ≥ 0.…

A:

Q: Joan's finishing time for the Bolder Boulder 10K race was 1.80 standard deviations faster than the…

A: Solution

Q: 23 22 - - (4 + 6i) z² − (5 - 10i)z = 0.

A:

Q: The adjacency matrix of the graph is __________

A: In adjacency matrix, the elements are the number of edges between the vertices.

Q: Yoshika Landscaping is contemplating purchasing a new ditch-digging machine that promises savings of…

A: Given: Statement To find: Solution

Q: 2. Given the following data: X -20 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial…

A:

Q: Calculate the distance from your house to the college in km. Determine the type of number whether…

A:

Q: 1. La velocidad de un fluido está dada por la función vectorial v= yi+j+zk. Calcula el flujo a…

A: Since you post so many questions and not mentioned any, as per our guideline we can solve only first…

Q: Let R be the region in the first quadrant that is enclosed by y = f(z) (or z = g(y)) and y = z as…

A: Arc length of a curve y=f(x)  where a≤x≤b L=∫ab1+dydx2dx

Q: k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) +…

A: We will use given formula and value of nr . nr=n!r!×n-r!

Q: 381% rounded to nearest hundredth

A: Given,        10.381%

Q: In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order…

A:

Q: Find the set Anø. U= {1, 2, 3, 4, 5, 6, 7} A = {4, 5, 6, 7} Select the correct choice below and, if…

A: We know, x∈A∩B ⇔x∈A and x∈B

Q: A MacLaurin series solution to this ODE: (x-3)y'' + 5xy' - y = 0 has the form: y(x) = Σ anak k=0 The…

A:

Q: D² -2D+1 2 2X 1 [e-²x (x²-1)]

A:

Q: Find the center and radius of the sphere: 3x² + 3y² + 3z² -6x - 12y + 18z + 150 O Center (1, 2, -3);…

A:

Q: Investor Dan has $758,000 to invest in a CD and a mutual fund. The CD yields 4.2% and the mutual…

A:

Q: Q4 Here are some vectors. -2 Now here is another vector: 4 Is this vector in the span of the first…

A: We have to check whether the vector v=14-2 can be written as the linear combination of the given…

Q: oblem Solving 1. Consider the function y-3cosx-2x]-1. a. What is the amplitude of the function? b.…

A: As per the policy of bartleby the provisions is to solve 3 subparts at a time now I am solving 1st 3…

Q: Using 2014 as the base period, compute a simple price index for each of the following commodities.…

A:

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt…

A:

Q: Find the common solutions to the congruences 2x 3x 1 (mod 5) (mod 6) 1 (mod 7). 9 4x

A:

Q: Activity 1: You are testing an electrical device which can be modelled by the following equations:…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: 4. Find the Inverse Fourier transform of Te-l@l.

A:

Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: 12 or younger 13 or older Total Signed waiver 10 8 18 Did not sign waiver 20 12 32 Total 30 20 50

A: Let A and B are two events, then;  P(A∪B)=P(A)+P(B)-P(A∩B)

Q: 12. The half-life of strontium-135 is 2 years, and its mass. A. is modelled by, where A, is the…

A:

Q: Suppose there are approximately 2.0 x 10° asteroids in the asteroid belt that have a diameter larger…

A: Given Asteroids in the asteroid belt = 2.0×106  Diameter larger than =0.5 km Asteroid belt stretches…

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

A:

Q: 5. Evaluate the following integral [² 2x cos² x dx by using Trapezoidal's rule with 6 subintervals.…

A:

Q: PAPER 1 5. FACTORS OF J2014 1 (i) Find, in terms of p, the remainder when x³+px²+p'x+21 is divided…

A: Please find attachment for the details solution

Q: Q3/Solve the non-homogenous equation a³y Əx³ +1= cos(2x - 1)

A:

Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

A:

Q: 3.₁ Don takes out a 10-year loan of L, which he repays with annual payments at the end of each year…

A: Given: L=100Da10|i To find: Value

Q: 11) The solid is generated by rotating R about the x-axis. 12) The solid is generated by rotating R…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…