5400 at 7% compounded quarterly for 5 years

Q: Estimate the area of the region under the curve y = In(x) for 1 ≤ x ≤ 4. Use the left-hand rule with…

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Q: Let f (x) = f₁²² sin² (t)dt. Find ƒ' (π). ○ 2π sin² (π) π sin² (7²) ○ sin² (²) ○ 2π sin² (²)

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Q: Let r(t) =< 4t¹ - 4, e³t, -sin(-3t) Find 7' (t) T¹ (t) = <

A: Let To find .

Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (1.05, 1.1), compare the values of Az and dz. dz =…

A: Solution is following in step 2.

Q: مه (ع)f(x)g = Consider C0, 1 with inner product given by (J.9) - 6. 9) of z onto V. (r)g(c) de. Find…

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Q: Let à = and . Find k so that a and b will be orthogonal (form a 90 degree angle). k =

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Q: 1 Find the local and absolute extreme values of the function f(x)=x√1-z on [-1,1] (Show your work)

A: Absolute extrema are the largest and smallest value of a function that will ever be.

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g…

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Q: find all local extreme values of The given function and identify each as a local maximum, local…

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Q: 55-68-3 Find the inverse Laplace transform of 5³ (5+1)² 3-t²+3et+2te-t b. -3-t²-3et+ 2te-' c.…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A: To find the points on the curve where the tangent is horizontal or vertical, we need to find the…

Q: Find cos (x² + y²)dA where D = {(x, y) | 9 ≤ x² + y² ≤ 36 Round your answer to four decimal places.

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Q: Use the formula or a calculator application to find the monthly payment on a home mortgage of…

A: principle amount = $284,853interest (r)= 0.04608time (T)= 30 yearsnt= 12*30=360 monthsr/n=0.00384

Q: 13. Express 5 ‹(²) ³ 3 (*√81) ³ as a single power with a base of 9.

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Q: Decide whether L'Hospital's rule can be applied to each of the following limits. lim, 0 Olim In (3)…

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Q: (a) Find the Taylor polynomial of degree 3 centered at 1 of the function f(x) = -1. e

A: To find a Taylor polynomial of degree 3 centered at 1 of the function .Note: Since the student has…

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(2x + 3y +6z). F(x, y, z) = 2 Check…

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Q: Find two unit vectors orthogonal to both u =(4,-4,-3) and 7 = (0, 2, 2). Give exact values (no…

A: To find two unit vectors orthogonal to both  and .

Q: x (e) / Int √x dx

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Suppose that f(x, y) = e/ on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤ x ≤y³} D Q Then the double…

A: Given that on the domain

Q: Given f(x, y) = -5x² + 4xy5 – 3y6, find frx(x, y) = fry(x, y) =

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Substitute

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 9.…

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Q: Find the curl of the vector field = curl F = 1'5 132 k

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Q: Determine wether the following series converge or diverge. State and explain the test you used to…

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Q: Find the distance from the point (-1,-4,1) to the line ä(t) = (2,0,5)t + (2,9,-5).

A: To find the distance from the point  to the line

Q: Find the limit. lim X-1 √5x(x-1) |x-1|

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Q: Use the chain rule to find əz Ər =√r-2,0=π/6 if z = xye*/, x=rcos 0, y = rsin 0:

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Q: 1. Given the following graph, determine the intervals on x where f(x) > g(x). The blue graph…

A: The given graph

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Find the area of the shaded region in the accompanying π figure. Is the graph of r = 6 tan 0, - << 2…

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Q: Please determine the general solution to y" - 12y +36y=0 Your answer should be in the form y= X…

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Q: Evaluate the integral. dt +4t+8

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Q: Password Hints: 11 f f(x) dx = -8 -8 11 S g(x) dx = 12 -8 8 f g(x) dx = 6 -8 11 First Number: (4…

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Q: A car is traveling along a flat road. The position function is given by a(t) = sin(3t). a.)…

A: According to bartleby guidelines , we supposed to the first three subparts of multiple subparts…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: The sequence is given byTo evaluate: The convergence of the sequence and the value of the limit at…

Q: Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

A: ∬SCurlF⋅ndSwhere F(x,y,z)=xi+yj+zkand S is the surface defined byz=x2+y2 with z≤2,

Q: You have been given the following system of differential equations (DE): *'- [ 44 ] *, * (0) = [-¯…

A: Given, the system of differential equation…

Q: Evalute (2) da ₂ z(ln z)³ 01 O 1/2 O Divergent None of the above

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Q: Evaluate 28 - 19 the definite integral d x

A: Evaluate the definite integralI=∫−1928dx

Q: The Computer Password As you enter the spacecraft, you look to connect your computer. To your…

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Q: Evaluate 1524-423 +7z² dz. Round your answer to two decimal places. ₁524-42³ +7z² dz = [Number

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Q: a) Given that Vƒ (4,-5) = 2i – j, find the directional derivative of the function fat (4,-5) in the…

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Q: Let f(x, y) = x² + 2yª + 40xy. List the critical points: The critical point at the origin is a…

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Q: Find the value of the Riemann sum Σk-1 f(ck) Vk for the function f(x) = x² + 2 using the partition…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If you were given a conic section in general form, how would you determine what type of conic…

A: See that the general form of the conic section iswe can analyze the coefficients for any conic…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A: Given the polar equationr=5+3sin⁡(θ)

Q: Let f(x) = (x³ + x² + 1)e³+1 and g(x) = e³+¹,

A: The given curves are and

Q: When integrating integrals of the form sin³ sin cosa da where i is even and k is odd, you should x O…

A: We solve the given problem using the Pythagorean concept.