1.4 0.7 -0.7 -1.4 t (s) The graph above shows the position of an object in simple harmonic motion as a function of time. (If you choose to approximate pi, use at least 4 significant digits) What function describes the position of the object as a function of time? X(t) %3D What function describes the velocity of the object as a function of time? V(t) = What function describes the acceleration of the object as a function of time? a(t) (ш) х

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

A:

Q: Cx) = *-2r+2 a-1 c = 2

A:

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

A:

Q: Find a possible formula for the function graphed below. The r-intercepts are marked with points loca...

A: Intercepts:X-intercepts:(3, 0), (-4, 0)(x-3)=0  and (x+4)=0Terms: (x-3)(x+4) in numeratorVertical as...

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

A: Given u=2i-j+2k v=2j+3k We know that area of parallelogram with adjacent side are u and v is |uxv| T...

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A:

Q: 2 Pat needs to determine the height of a tree before cuting it down to be sure that it wil not fall ...

A: Let h be the height of tree.

Q: Find the centroid of the region bounded by the graphs of the functions y = 6x2, y = x2 +7 The centro...

A: This is a problem related to integration. By integration we will solve the centroid of intersected r...

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O...

A:

Q: find the volume under the surface z = f(x,y) over the rectangle R. 3. f(x,y) =x³ + y², R = [0, 1] × ...

A:

Q: 3. A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German...

A:

Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Solve the following using De Moivre's theorem, pascal triangle and binomial expansion. Show all your...

A:

Q: USing Inverse DiPfecren tial ofera tor to find Particular Solution of 9 -4Y = Cosh (2x -1) + 3 %3D

A: Based on the general formula of particular integral we will solve the question.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by ...

A:

Q: evaluate the given double integral. 7. (x + 2)dxdy

A: Given query is to find the value of the integral.

Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

A:

Q: 3x² – 7x + 9 at a = –1

A: Find first derivative that is the slope of curve at given point.

Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

A:

Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: 5. (а) (—4, 4) (b) (3, 3/3) 6. (а) (/3, -1) (b) (-6, 0)

A:

Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R, th...

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and differentiab...

Q: 3. Find dy using implicit differentiation given that dr sec r – log(r? + y²) = e* + cot(ry).

A:

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: To determine whether the given function is continuous or not.

Q: Consider the following. u = 9i + 4j, v = 8i + 2j %3D (a) Find the projection of u onto v. (b) Find t...

A: Given u=9i+4j, v= 8i+2j Aim To find projection of u on v We know that projection of u on v is u.vv=(...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Topic = Vector

Q: 1. Consider the function f(x) = {x + 2, values to find the limit of the following: - x - 6, x > 0 x ...

A:

Q: SHOT# BS Hエ ELEV Remarks FS BM- A 1.567 200.000 Tp-1 199.333 3.579 197. 88 Tp- 1.136 197.709 196.573...

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) ra...

A:

Q: The number N of locations of a popular coffeehouse chain is given in the table. (The numbers of loca...

A:

Q: Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. 2 4n + 4n ...

A: To determine whether the sequence an converges or diverges. To find the limit of the sequence if it ...

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y ...

A:

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j u =

A: Given the vector is v = -6.3i + 3.7j We have to find the unit vector in the direction of v.

Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: f(x) = V3x–1 c = 1

A: As we know that; If the function fx is continuous at x=c then, limx→c-fx=limx→c+fx=finite value=fcor...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vectors. 

Q: If f(x) = 2 sin(x) + 3x", find f' (3). f' (3) =

A:

Q: dy using implicit differentiation given that dr 3. Find y² seca – log(r² + y²) = e* + cot(ry).

A: Solution is given below:

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

A:

Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

A:

Q: Apply Gauss-Seidel method to solve the values of the x as given. Continue iterations until two succe...

A: Basic information:  Put: A = x1 ; B = x2 ; C = x3 ------------------------------------------------...

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 3 m/ min (see f...

A:

Q: d²y -6空+9= 0. dx2 dx 业

A:

Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

A:

Q: Question 8 In(t2 + e2)- 2 lim t 0 (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope o...

A:

Q: You would like to have $550,000 when you retire in 35 years. How much should you invest each quarter...

A: