Periodic Deposit $? at the end of each year Financial Goal $160,000 Rate Time 15 years |5% compounded annually

Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: Determine the smallest value of the constant a for which the graph of the function f(x) = a^x−x is a...

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Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,...

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Q: Let z = F(x , y), where x = u ev - 4 and y = ut e -V + 3. Use the chain rule %3D az to find du at (u...

A: Concept- using the chain rule of differentiation

Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: 9) y= 3sin 0 +2 %3D TC 3T 2

A: y=3sin θ+2

Q: 1. Find the particular solution to the following differential equations d²y а. dx2 d²y b. – 4+3y = 0...

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Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length o...

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Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: Determine the present value P that must be invested to have the future value A at simple interest ra...

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Q: Consider the integral 16–z² x? dz dy dx x²+y²

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Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation...

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Q: webassign.net/web/Student/Assignment-Responses/last?dep=28727898 * ES (M Paused Let f(t) = 2t2/3 + t...

A: I am attaching image so that you understand each and every step.

Q: The maximum rate of change of the function f(x, y, z) = xyz at the point (1, 2, 3) occurs in the dir...

A: In this question we have to find the correct answer.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (-1)"

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Q: e lan-1n Σ n=1 n + 1 2

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Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A: According to guidelines we solve only first question. 

Q: Let F(x,y) = 2x + 3y . If (x , y) changes from ( 4,7) to ( 6 , 10) , find A F and dF. Enter AF in Bl...

A: To solve the following problem

Q: Suppose æ = 6, 0 = 15° and o = 75° in the figure, which is not drawn to scale. Find the following. (...

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Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

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Q: . Complete the analysis for and sketch the graph of the function f(x)= 2x2 -3x-14 ÷ x2-2x-15 . Use ...

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Q: Question 1 Estimate the area of the curve y = x from x = O to x = 3 by using 6 rectangles and left e...

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Q: sec x2-1 1

A: Given problem:-

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the eq...

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Q: ind the general solution to the differential equation. dx dt = 3t2(x2 + 25) x =

A: topic- differential equations

Q: 4. 2?y + x(x + 2)y = e

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Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

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Q: Write the following expression in algebraic form: sin(arccos (6x)) V1-36z2 O VI – 36x² O VI – 6x² O ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Update A webassign.net/web/Student/Assignment-Responses/last?dep=28727898 pəsn E * * Let f(x) = 3x -...

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Q: dz If Z = x' sin(y), x = s²t³ and y = s°t2, %3D ds a) None of these b) 6st³ x² sin(y) – 3s²t²x³ cos(...

A: Given query is to find indicated derivative.

Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

Q: IV. Find the derivative of the given function. 1. u = t³(sin In t – cos ln t) 2. y = e-2* (1 + e-2x)

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Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O (2...

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Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: 5. Which of the following functions f(x, y) are homothetic? 2(xy)? (b) (xy)? +1 (a) (xy)? +1 (c) x² ...

A: (a) The given function is: fx,y=xy2+1

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent lin...

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Q: V3, 3 2/3; + 8; i - k 4 1 83B k

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Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to...

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Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

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Q: Oil is leaking in a circular shape from a tanker in such way that the radius of the circular spill i...

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Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i...

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Q: Find the critical numbers of f(z) = 2? – 18z + 4 and classify all extreme values given 0 < z < 12. a...

A: In this question we have to find the values of Critical nos. and absolute value of max and min.

Q: Suppose that (a, } is a monotone sequence such that a, S11 for all n. Must the sequence converge? If...

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Q: dw at (u, v) = (5, 4) for the function w(x, y, z) = xz + yz - z 2; x = uv, y = uv, z = u. HINT: Use ...

A: w(x,y,z) = xz + yz - z2∂w∂x=z,x=uv∂x∂u=v∂w∂y=zy=uv∂y∂u=v∂w∂z=x+y-2zz=u∂z∂u=1

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A...

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