How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: NOTE: Enter the exact answers in terms of i, j and k. (a) Same direction as 2i + 5j. -2 √29 u v (b)…

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Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Find angle t [in EXACT form] for the following terminal points on a unit circle, 0≤ t < 2π (a) P(0,…

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

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine​ (if…

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Q: Consider the function. f(x, y) = 4 -1/3-2/4/20 Find Vf(x, y). Vf(x, y) =

A: Given :fx,y=4-x5-y4

Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Consider the following. u = -7i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. -12 2k X…

A: Given :u=-7i-4j-2kv=4j+4k

Q: M8 K-0 3 900+3k

A: Given, ∑k=0∞3900+3k

Q: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect as shown in the figure. Find…

A: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect  as shown in the figure. To…

Q: y = (201³ - 6) Find d²y da 3 9

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Q: Estimate the minimum number of subintervals needed to approximate the following integral with an…

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Q: Solve the given differential equation by undetermined coefficients. y" + 7y' + 6y = 18 y(x) = || X…

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Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: =valuate the double integral [2aydA, 2xy dA, where D is the triangular region with vertices (0,0),…

A: Given that a double integration and given  D is  triangular region with vertices (0,0) (1,2) and…

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: 2 x ln((2x)²) dx 1

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Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: a. Verify that the function y = cos x - sinx + x² - 2 is a solution of the given differential…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: The objective of the question verify the parallel of given plane and find distance between them .

Q: Find the equation of the tangent plane to the given surface at the specified point. z=xsin(x+y),…

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Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: Use the maximum magnitude of the remainder term to find the maximum error in the following…

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Q: IVIC Question 8 of 10 y The tangent line to the curve y=f(x) at r=1 goes ough the points (-1,3)…

A: To find out the value of f(1) and f'(1).

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: derivatives-and-the-shape-of-a-graph and the Shape of a Graph -5-4-3 202. f'(x) For the following…

A: The given graph is of f'.        If    f'&gt; 0 at a point , then  f is increasing.       If  f'…

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

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Q: Find the TOTAL SOLUTION of the following Differential Equations: 1. 3 dy. dy +3 dt³ 2 dt² - 4 = 5t²…

A: Given the differential equation is d3ydt3 + 3d2ydt2 - 4 = 5t2 + 4

Q: Integrate: [ sin³ 3x cos5 3x dx [sin³ 3x cos³ 3x dx = [ {ITEM D1} dx = [((ITEM D2]) cos5 3x sin 3x…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: I 8. y" + siny = 0; y (0) = 1, y' (0) = 0

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Q: The area bounded by the curve of the given equation where the x has an exponent of two equals to…

A: Given ;The area bounded by the curve of the given equation x2=8yNow, we can change x=±8yWe can take…

Q: A barrel is shaped like an ellipsoid with equal pieces cut from the ends by planes perpendicular to…

A: Given a barrel of height 2h and radius at center R and at the has radius r. To find a formula for…

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) WŁ(1,0) = u(1,0) = -1, u,(1, 0) = −5, ut(1,0) = -7…

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Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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

A: given differential equation 5y''-24y'-5y=6

Q: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

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Q: Activity no. 3. 1. At 2:00p.m., a thermometer reading is 80°F is taken outside where the air…

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Q: 2 termis U

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

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Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: The solution is given below

Q: r- 24. y" +9y = 0; y(0) 25. y"-2y' + 2y = 0; 26. y" - 2y' + y = 0; 27. y"" - 4y" + 7y' - 6y=0; = 1,…

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Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: 27. Calculate the work required to lift a 10-m chain over the side of a building (Figure 13) Assume…

A: We need to determine work.

Q: At 6 AM the temperature outside was -7 degrees. By 2 PM it had warmed up to 18 degrees. By how many…

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