An object moves with the acceleration vector ä(t) =< -2,1,3> with initial ity vector Po=< 1, 0,-1> and initial position vector Fo=< 2,3,-2 >. Calculate clocity and position vectors. Show all steps.

Q: Consider the function (for question G) S(x) ax³ bx³ + k G. What will happen to lim S(x) if a, b, and…

A:

Q: 2 S √√x²1 (2x² + 2x) dx -

A:

Q: (a) Find the general solution of dy/dx = 8x³-4x+1. (b) Determine the particular solution such that…

A:

Q: Find the minimum solution z(x) = 2x^3 + 3x^2 -12x +5 in the interval of [0,4] using newton's…

A: the root of function is calculated by below method

Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…

A: Topic:- differential equations

Q: if x ≤ 2 Let f(x) = = if x > 2 If f(x) is a function which is continuous everywhere, then we must…

A: Given function, f(x)=4x-5if x≤2-3x+bif x&gt;2 Here function is continuous everywhere ,

Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

A:

Q: 1-sine 8-π/2 1+cos20 3) lim

A:

Q: (x + y − 5)dx + (3x + 3y + 2)dy = 0 -

A:

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

A:

Q: K Use the graph of y=f(x) to graph the function g(x) = -f(x). y = f(x) Ay ~ 12 E Choose the correct…

A:

Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

A:

Q: ty"+ t²y' - (Sint) √ y = t² - t +

A:

Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: (a) Show that y = e(c₁ cosa + c₂ sin x) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

A:

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

A:

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

A: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

Q: a b= Note: Triangle may not be drawn to scale. Suppose a = 2 and A = 50 degrees. Find: C= B B = b…

A:

Q: Use the theorem given below to find the curvature of r(t) = tj + tk. k(t) = Theorem: The curvature…

A:

Q: 3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f -…

A:

Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Value decreased by 8% let  A0=Initial value = 100A = final value = 20   Every year value decreased…

Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

A:

Q: for the function f(x) = 7X+9 and (exact answers) find the following 1. f(g(x)) = 2₁ g (f(x)) = 3.…

A:

Q: dy/dx-3y=0,y(0)=2 solve by Laplace T. * f(s) Option 1 = - 1²/2+5²2²232 S-3 y=2 e³t

A: Given :dydx-3y=0     , y0=2

Q: F Amplitude: Period: 856 Based on the graph above, determine the amplitude, midline, and period of…

A:

Q: Find the 4th root of z = 3-4i

A:

Q: Find the general solution of each of the following. J.. 1 1. in 2. y tan² x dx + In¹y dy = 0 000² v…

A: Please see the below picture for detailed solution.

Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

A:

Q: 1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book…

A: Given:- Carpenter sells the book cases for x pesos each And 300-2x book cases will be sold per month…

Q: b) ay+3y=0; y(1) = 2,

A: We have to solve the given differential equation. According to our guideline we are supposed to…

Q: Find the PS of y' 2 cos²x - sin² x + y² 2 cos x y(0) = 1984

A: Given y'=2cos2x-sin2x+y22cosx and y0=1984

Q: Find the derivative of the function. 3 1 F(t) = (st ²+ 1)² F'(t) = 15 (5r+1)* X

A: To find the derivative of given function.

Q: (d) The sum of two divergent series of real numbers is always divergent. (e) If (r) is a convergent…

A: Please see the below picture for detailed solution .

Q: sy(

A:

Q: 1. f(x). = X+I

A:

Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: 19.) Differentiate f(x)= (3x - 5)*(7-x) 10

A:

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

A:

Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

A: The question is different . Here , differentiate w.r.t to n

Q: Determine an equation of the circle represented by the graph below: -05 2+ 2²+ -0.5 y+ 0 Fill in the…

A: Topic = Circle

Q: The two vectors a and b in the figure have equal magnitudes of 10.9 m and the angles are 0₁ = 34°…

A: Shift the given vector b and then do the vector sum after breaking the components.

Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

Q: Question 1 dy 1) Consider the equation 25x² +9y² = 225. Use Implicit Differentiation to find da (c)…

A:

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: Find the derivative of the function using the definition of derivative. F'(v) = F(v) = V V + 3 3…

A:

Q: S+4 (s²+4s+8) 10. L-1 solve using inverse laplace

A: As we know the inverse Laplace transform identity;  1). L-1a·fs+b·gs=a·L-1fs+b·L-1gs 2).…

Q: 4. Determine the domain ONLY of f(x) = 4-x x²_9

A:

Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

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

Q: What volume of refrigerant should be recovered for disposal from an oldrefrigerator? The length of…

A: Consider a cylindrical pipe with diameter 14 inch and 15 feet of long. To calculate its volume.