You invest $49,010 in an account earning 5.26% APR, compounded daily. How much total interest is earned on the account after 235 days? Round your answer to the nearest cent. The total interest earned on the account is $ after 235 days.

Q: S sin(x) cos(cos(x)) dx

A: ∫cosxdx=sinx+clet cosx=t-sinxdx=dtsinxdx=-dt

Q: Find an equation of the line having the given slope and containing the given point. 3 m=, (5,-1) ...…

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Q: 2. L{t7}

A: We have given function to find Laplace transform  Using formula  Ltn = n!sn+1 Put n=7 Lt7 =…

Q: Compute the curl of the following vector field. 2 2 F = (x² - y²,5xy.4z) The curl of F is (i+j+ k.

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Q: Evaluate the integral. 2 Wy -9 y -dy, y> 3

A: Since we have the term y2-9 we will try to bring in the form of 9(y2-1) = 3(y3)2-1 If we replace y/3…

Q: Find the area bounded by the graphs of the indicated equations over the given interval (when…

A: The given equations are y=2x2, y=18

Q: 8. Solve 2 cos 2x = 1 Write the solution set for the general solution. b. Write the solution set on…

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Q: Evaluate the integral. (Use C for the constant of integration.) √x² - 81 2 X |v +8 dx

A: Given,           ∫x2-81x4dx

Q: Solve the system by elimination: -2x + 3z 20 -2x + 6y = 32 2y+z=12 Express your answer as an ordered…

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Q: Find the following limits for f (x) lim f(x) = 0 x-4 If necessary, select the most informative…

A: Given query is to find indicated limit.

Q: The differential equation e dy dx = y- tan(x) is linear.

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

Q: Evaluate (6x +4√/y) ds where C is given in the accompanying figure. ...) 1- (0,0) y=x (1,1) y=x² X Q…

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Q: Use the fact that ∞ 2 sin x cos x = n=0 ∞ to find the power series expansion of sin² x at x = 0. n=0…

A: Given the fact that 2sinxcosx=∑n=0∞-1n2nx2n+12n+1!.It is required to find the power series expansion…

Q: Find the solution of the following differential equations. Show your solutions 4. (D4 – 2D³ — 5D² +…

A: As per the guidelines I am supposed to do the first question among multiple questions. Still here I…

Q: The marginal cost​ (in dollars per square​ foot) of installing x square feet of kitchen countertop…

A:

Q: 2. Reduce to an exact equation and solve it: dy_2xsin 2 y+(2siny)/x² dx 2x²cosx-(2cosy)/x (2x²ysin…

A: GIVEN: dydx=2xsin2y+(2 siny)/x22x2cosx-(2cosy)/x             (2x2y siny -x y3sinx)dx +(x3siny +x3 y…

Q: Let S be the solid obtained by rotating the region bounded by C1: y = x2 − 6x + 9 = (x − 3)2 and C2:…

A: Given that  the equation of curve C1:y=x2-6x+9=(x-3)2  and C2:y=x+3

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: We have to find the derivative at given point.

Q: Given the series 1 + 81 729 Does this series converge or diverge? O converges O diverges If the…

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Q: Let C be the circle x² + y² = 1 oriented counterclockwise. line integral 5y dx + 1x dy. Use Green's…

A: Given: C: x2+y2=1We need to evaluate the line integral: ∫C5ydx+1xdy

Q: Kate starts a new business manufacturing bobble-head figures of Eagles players. Her initial cost is…

A: To solve the following problem

Q: 3. Find the surface area of the torus described parametrically as r(u, v) =((2 + cosu) cos v, (2 +…

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Q: 9. Use Law of Sines to solve AABC with B = 17°, a = 3, and b = 1. Round the measures of the unknown…

A:

Q: If $4,000 invested in a bank account for 5 years, compounded quarterly, amounts to $4,871.10, what…

A:

Q: Explain why, to find maxima and minima for f(x), one thing we do is solve f'(x) = 0.

A: We can explain why , to find maxima and minima for f(x) , one thing we do is solve f'(x) =0.

Q: 2. tds = (3t+1)s dt + t³e³t dt

A:

Q: 2. Logistic Model (a) Find the general solution to each of the given differential equations. (You…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: centered at x = 0 for f when 1 (4x + 1)¹/2 * f(x) = 2. T3(x) = 1 + 2x - 6x² + 20x³ 3. T3(x) = 1-2x +…

A:

Q: Find all solutions of the following linear system: 4x+8y-12z 2x +2y-2z 5x -5y-5z = 0 = 0. = 0

A: To find all solutions of the following linear system.4x+8y-12z=02x+2y-2z=05x-5y-5z=0

Q: Solve the initial value problem given below. In your solving process, make sure to (1) write the…

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Q: Calculate to sum of the first 99 terms of the following series:  8+24+72+216

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Q: (4D4 – 4D³ – 23D² + 12D + 36)y = 0

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Q: Let F = (y² + z³, x³ + z², xz). Evaluate Sow FdS fc 3 each of the following regions W: A. x² + y²…

A:

Q: 42. lim √√x = 0 0-x

A: Given query is to find the limit of the expression.

Q: Write the expression in the standard form a + bi. [√10 (cos 20° + i sin 20°)]

A: To write the given complex number in standard form.

Q: Find f such that f′(x)=x2−4and f(0)=8.

A: Given that f'x = x2-4 and f0=8.

Q: 2. Find each limit if it exists. (A) lim 2. (B) lim √/16 - 7x. x-4 a 2-0

A:

Q: Find the volume of a soild generated by roatating the region bounded by f(x)= x^3 and g(x)=2-x^2 and…

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Q: Consider the following curve. ² = sin(28) Ф. Set up an integral that can be used to find the shaded…

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Q: Find the area under Y te -0.6t for 0 < t < 5.

A:

Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

A: Given query is to find the future value.

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: The slope of the curve y = x^2 - e^-x at its point of inflection is?

A: The given function is y=x2-e-x We have to find the slope of the curve at the point of inflection.

Q: Vector u has initial point at (8, 6) and terminal point at (-6, 12). Which are the magnitude and…

A: given  u has initial point (8,6) and terminal point is (-6,12)vector u=terminal point -initial point…

Q: Find a. a. Əw dx ?w A). ax y and b. (2,2,-2) aw dz 2 at the point (x,y,z) = (2,2, - 2) if w= x² + y²…

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Q: 5. Given f(x) = ex In(x), find the linearization at x = 1 and then use it to approximate f(1.02).…

A:

Q: (b) Find all values of t* for f(t) = t² in the interval [0, 4] that satisfy the Mean Value theorem…

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Q: 1. mBEC A 31% 3. m/BAC 1400 980 2. mzCAD 4. m/ABH 5. mDE 6. m2BAE 7. mLAFB 1350 170⁰

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: f(x, y) = 4xy – 2x² − 3y² + 7x + 7y - 8 Local maxima are Local minima are Saddle points are ▬▬ m w…

A: Solve the following