A particle in R2 has a velocity function of v(t) = (3t²-4, 6t + 2) (given in m/s). After moving for 1 second, the particle is at (2,8). A. What was the starting position (at t = 0) of the particle? B. What was the starting speed of the particle?

Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A:

Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. (Use…

A:

Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: We have given a function in an interval. Then arc length will be

Q: Find the amplitude, period, and phase shift of the function. =I 1 sin (3x-x)+3 Give the exact…

A:

Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

A:

Q: Find f(x)dx= 10 and ſ¹⁰ (6ƒ(x) — 10)dx = = = m m m

A:

Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature today…

A: the graph is given below on x axis day represent  on y axis temperature represent   x axis - scale -…

Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

Q: (13) Find the equations of the tangent line and normal line to the given curve at the specific…

A:

Q: Solve the initial-value problem. dN_ _t+5 dt t -, for t21 with N(1)=5 The solution to the…

A:

Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

A:

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: 3. Obtain the DE of the family of circles with center at (2,-3). Draw at least 4 representative…

A: Given question:- 3. Obtain the DE of the family of circles with centre (2,-3). Draw at least 4…

Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: a rectangular tank with a square base and an open top must fave a volume of 160 ft^3. Material for…

A:

Q: Find the value of ff xye**y dxdy (solve) (yeye)(xex - e*) Option 2 O yev (xe* -ex) Option 1 (yeyev)…

A:

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A:

Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: Find the terms through degree 4 of the Maclaurin series of f. Use multiplication and substitution as…

A: Hete we have to find the maclaurin series of f.

Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

A:

Q: Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4,…

A:

Q: x(t) Find a plane containing the point (-4,3,-8) and the line y(t) z(t) = 8 - 3t 7 + 4t -8+ t

A:

Q: Solve: y'' + 4y' = sin (2x)

A:

Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: Suppose the derivative of a function f is f '(x) = (x + 1)2(x − 2)7(x − 3)4. On what interval is f…

A:

Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

A:

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: y=-3 x=- V25 – x – y dxdy=

A: To solve the following double integral

Q: Use the rules for sums of powers of integers to compute the sum. 16 Σ k k=7

A:

Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: ¹(²+1) 3 lim (x + 1) sin( 24x

A:

Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: Consider the following. 8x2 − y5 = 3 (a) Find y ′ by implicit differentiation. y ′ =    (b)Solve the…

A:

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x+6/(x^2+6)^1/2 Find…

A: See this solution in below

Q: Find the constant of variation when one exists and write it in simplest form. Direct variation…

A: We have to find out solutions

Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

A:

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature [ today] 27…

A:

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

A:

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

A:

Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

A:

Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.