How long do you need to invest your money in an account earning an annual interest rate of 5.177% compounded weekly so that your investment grows from $1,098.66 to $10,507.00 over that period of time? weeks (Note: Your answer should be an integer)

Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: Find the general solution. If an initial condition is given, find also the corresponding particular…

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Q: Solve the following differential equations d²y d+2 +3. a) b) dy -54y= 0, y(0)=7,y'(0) = -2 dy -2x 2x…

A: The differential equation given is  a) d²y/dx²+3(dy/dx)-54y=0  y(0)=7, y'(0)=-2  "As per the rules,…

Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

A:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: 8. A = (1, 1, -2), B = (-2,3,1), what's the angle between A and B?

A:

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: S sinxdx 7+ cos²x

A: integration ∫sinx7+cos2xdx

Q: Simplify the expression. ✓-25 √9 Select one: √5 3 a. O b. O c. O d. -- Wher wher 5 3 3 i

A: The expression is given by -259 To determine: The simplified expression.

Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

Q: Find the work done in winding up a 300-ft cable that weighs 4.00 lb/ft. O 180,000 ft-lb O2400 ft-lb…

A: To find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

A:

Q: Find an equation for the plane tangent to the given surface at the specified point. x = 2u₁ y = u² +…

A: We have x=2u, y=u2+4v, z=v2, at (0,8,4). Then we have to find an equation for the plane tangent to…

Q: Find the length of the entire perimeter of the region inside 13 sin (0) but outside r = 3.

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Q: What is the volume of the solid created when the region under the curve -4? (Solve using any y =…

A:

Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8

A:

Q: Part 4 Use the table function of a graphing utility to create a table for the function and use the…

A: Given :- (4) limx→1x-1x2+2x-3               (5) limx→-32x2+4x+1

Q: Find the x-value of all points on the curve y = x³ + 4x + 5 where the tangent line is parallel to…

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Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

A:

Q: PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

A: We have to proof that given expression. We know that  d/dx{f(x)×g(x)}=f(x)g'(x)+g(x)f'(x)

Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Compute the integral f/4 tan² (x) dx.

A:

Q: Given the polar equation r The eccentricity is e = 9 8 + 5 cos(0)' The equation of the directrix is:…

A: Given the polar equation r=98+5 cosθ. To find the eccentricity, equation  of the directrix and to…

Q: For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

A:

Q: Write a polar equation for a conic having focus at the origin, directrix y = e = 1. r = Enter theta…

A:

Q: Use integration by parts to establish the reduction formula: [(In x)" daz = 2(lnx)" - n [ (in…

A: ∫lnxndx Integration by parts ∫udv=uv-∫vdu

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

A:

Q: For the sequence an = its first term is -18 its second term is its third term is its fourth term is…

A: an = (-1)n18/n2

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (1, 2, 2) in the direction…

A:

Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

A:

Q: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

A: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: (a) Use a calculator to find e0.7(rounded to five decimal places). eº.7% (b) Estimate eº.7 by using…

A:

Q: Let f(x, y, z) = x³y³ + z³ and x = s4, y = st², and z = s¹t. (a) Calculate the primary derivatives…

A: fx,y,z=x3y3+z3  and x=s4,y=st2,z=s4t

Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

A:

Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩​. Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector…

A: vec a = < 2, - 3 > vec b = <1, 4 > to evaluate and draw  vec a + vec b by parallelogram…

Q: The electrostatic potential on all parts a a conducting circular disc of radius r is given by the…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: olve the problem. Suppose that g is continuous and that g(x) dx. A) 6 B) 26 -26 g(x) dx-10 and Lås…

A: g(x) = is contionus function

Q: 33. f(x) = X 2 x2 - 1

A: As per guidelines we support only three subparts of the questions.kindly repost next questions

Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

A: We have given a table that shows the national expenditures for health care in the United States for…

Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

A: We need to multiply and simplify the given expression.