A particle is moving along the x-axis so that at any time t > 0, its acceleration is given by the equation below. If the velocity of the particle is 6 m/sec at time t = 3 sec, then the velocity of the particle in m/sec at time t = 7 sec is?

Q: Suppose n1,n2 are positive integers and gcd(n1,n2) = 1. Then for every integer x, if n1 | x and n2 |…

A: Given that gcd(n1,n2)=1 Then there exist integers m1 and m2 such that          m1n1+m2n2=1 Then…

Q: How & Prave the orthogonality. Conditions...for the Sine and cosine Functions...

A: Solution : To prove sine and cosine are orthogonal we have to prove three conditions, 1) for all n∈ℤ…

Q: 3. Find the equation of the tangent to the curve y = (x - 2)√² +16 at x = 3.

A:

Q: Match the formula of the exponential function to its graph. Graphs of Exponential Functions Formulas…

A: Given the exponential function  a fx=-14xb fx=14xc fx=4xd fx=-4x

Q: Sketch EFGH with EF = 13, EG = 24, and FH kind of parallelogram is EFGH? Explain. Sketch RSTU wich T…

A: Given, the parallelogram EFGH with                              EF=13, EG=24, and FH=10

Q: The area bounded by y=1-x² and x+y=1 is submerged vertically in the water with the water level in…

A:

Q: Productivity-diminishing returns Suppose the pro- luctivity P of an individual worker (in number of…

A:

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. y”’ – 3y” + 3y’ – y = x – 4eX

A: Solution

Q: You are given the point values (1, 1), (2, 4), (3, 9) for some function f(x). You determine an…

A: Solution

Q: - Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: f(x) x f'(x) f”(x) f"(x) 2 0 0 5 7 The third derivative of the function f is continuous on the…

A: Given: The values of function and its first three derivatives at x=2 are given in the picture below:…

Q: chords AB and Co intersect at point E. A If m 'm CB = 120° and m AD = 180°, find m & AED. 1869

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Using formula work done W=1/2kx2 where k =spring constant and     x=displacement in spring by…

Q: ot=3. Integrate eest from t = 3 tot = ∞o. Then add together the two results t

A: Given transform as, ft=1,0≤t<3et,3≤t

Q: Use graphical method to solve the equation y=5x²-x;y=5x-1

A: Here are given equations as y=5x2-x,y=5x-1

Q: S dz (x-2)√√5+4x-r²

A:

Q: Verify that the functions are solutions to the associated homogeneous differential equation, then…

A:

Q: Task 2 Load Q-1200 N is applied to the frictionless pulley at C. Which can roll on cable ACB. The…

A:

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ (A) u² 3 В) (√2-1) u² 3 C 8u² D s-u² B

A: Area bounded by two curves: y2-x=0 and y2+x=2

Q: PROVE IT Given any real n x n matrix A, if A is invertible, then there is an orthogonal matrix Q…

A:

Q: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: Use the given degree of confidence and sample data to find a confidence interval for the population…

A: Note: According to our guidelines we can answer only first question

Q: Let G = (V, E) be a finite bipartite graph with bipartition (A, B) where DI

A:

Q: Let G =(V,E) be a finite graph on n ≥ 3

A:

Q: Using equivlance law   p ∨ (q ∧ ¨ r)   ≡ p ∨ (¨ r ∧ q)  by:  _______________________________…

A: Solution : Laws: Commutative law : a∧b≡b∧aa∨b≡b∨a Distributive law a∨b∧c≡a∨b∧a∨c can interchange…

Q: 1. The surfaces 3 ≤r ≤5, 1/6≤0 ≤5/18, and π/9≤ ≤/3 identify a closed surface. a. Find the enclosed…

A: the surfaces 3≤r≤5 , π6≤θ≤5π18  and π9≤ϕ≤π3 a) find the enclosed volume.

Q: 800 3426 1848 2848 657 2336 735 Growth Rate = 29% Growth Rate = 4% Growth Rate = 7.5% Growth Rate =…

A:

Q: Task 4 Calculate the moment of couple formed by the shown forces, 1) By resolving each force into…

A:

Q: 5. Calculate the following integral √e (z − 1) (2³ — 1) -dz for each of the following contours C. In…

A:

Q: 4. Is the function given by G(x) 1 x-1 the interval (0, ∞)? Why or why not? continuous over

A:

Q: 33. Let f be a function with derivative given by ƒ'(x) = x³ − 5x² + e*. On which of the following…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 3. Let V be the set of all ordered triple in R³, and F, the set of real numbers, where the…

A:

Q: Describe an algorithm that takes as input a list of n inte- gers in nondecreasing order and produces…

A: Fact :-  a list of integers is nondecreasing if each integer in the list is at least as large as…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A:

Q: Q12- Suppose that we, x= 3r+s, y= 3r-s, z= r²s Use appropriate forms of the chain rule to find dw dw…

A: To evaluate by using the appropriate form of the chain rule.

Q: 5. Use the properties of differential operators to solve for the product of (D+x²)(xD + 2)y

A: Given: D+x2xD+2y To find: Solution

Q: Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation.…

A:

Q: Sunwoo’s closet has 18 different styles of jacket. In how many ways can Eric pick out 7 different…

A: Total number of Jackets = 18  Eric need to pick 7 different styles, this can be done in 18C7

Q: Tick the true statements. Every linear relationship is an example of direct proportion. If the…

A: Since, you posted multiple questions we will solve first 3 parts for you. Kindly repost other parts…

Q: 2 Ex² ( 2 √xy - y)dx=xdy == Find the general solution to differential equations

A:

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A:

Q: A bicycle is classified by the diameter of its tires. For example, a 20-inch bicycle has tires that…

A: The number of rotations that the tires rotate in one minutes in given in case of both bicycles.…

Q: A is the smallest closed superset of A

A:

Q: Graph and please explain also. Using integrals, find the area bounded by the following:  f(x) = 2x2…

A:

Q: Determine the monthly principal and interest payment for a 15-year mortgage when the amount financed…

A:

Q: 7. (Hadamard) For any real nxn matria m 1/2 A)] < ΠΙΣa; and |det(A)| Σ i=1=j=1 holds iff either A…

A:

Q: 1. For each of the following discrete-time systems, determine whether or not the sys- tem is (1)…

A: Since, you posted multiple question, we will solve first question for you. Kindly repost other…

Q: Question 1: Write the objective (cost) fund data (DR stands for daily requirements) Diet problem…

A: Let there are x units if wheat and y units of flour the objective is to minimize the cost…

Q: Exercise 4.27 Let A be a given matrix. Show that the following two state- ments are equivalent. (a)…

A:

Q: 5. What kind of variation the equation, A=bh?

A: Given, the equation                      A=12bh