functions

Q: Describe the given region in polar coordinates. -6 R:srs s0sO (Type exact answers, using a as…

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Q: Use the three methods. to Sulve the following functe , f(X) = X+ě r %3D E = 0.0001 %3D

A: f(x)=x+e-x f(x)>0 for all x f(x) is never be zero for any x i.e. we cannot find an x such that…

Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: To find the given integration using the given graph.

Q: 13. A town's population in 2000 was 36,000 people. In 2005 the population had risen to 54,750.…

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Q: Usian Bolt jogs one (1) mile the first day and increases his daily run by 1/4 mile every week, how…

A: Follow the procedure given below.

Q: The marginal cost function is the derivative of the cost function. If the cost function of producing…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given,  z=x2-y2, (7,4,33)

Q: sin x y = (1+ cos? x)(1+cos x) (Hint: use logarithmic differentiation)

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Q: 1. Evaluate the double integral ty dA, where R is the region in ry-plane between the circles of…

A: Given problem:-

Q: b. ydy 1

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Q: urve be parametrized by Evaluate r (f) at t = 0, 1 = 1, and t = 5. Give your answers using component…

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Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

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Q: Year Month: Date: Sa So MoTu We Th Fr Q/ find the area of the region between the x-axis and graph of…

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Q: 2х — 5 -dx х — 1)3 x(x

A: To evaluate the given improper integral.

Q: For the periodic function: f(w)={--1 0<a<1 1 -1<x <0 x -1 0<x <1 Determine: 1. Is it Odd, Even, or…

A: Given

Q: x+ y3= 2х-3

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Q: 6. ( Problems 4 and 5 continued. Sketch p = 0 in spherical coordinates. !!

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Q: Describe the given region in polar coordinates. R:OsrsOOs0s (Type exact answers, using x as needed.)

A: The given region represents areashaded between two circles:x2+y2=32x2+y2=42In polar coordinates;x=r…

Q: Hiwin If Z=R Cxxy)and u=x-y V=x-y show that %3D

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Q: II) By using the limit definition of derivative, prove the identity J dzf(2)8' (2) = - / da f…

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Q: 1 dx xV9x² + 4

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Q: |r sec? 3rdx

A: Here we have to solve the integration by using integration by

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a&lt;b)Here focus…

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2- cos(0)

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Q: Suppose the temperature in degrees Celsius over a 10-hour period is given by T(t) = - t + 6t + 36.…

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Q: 5. The initial value problem which describes the motion of a certain undamped harmonic oscillator is…

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Q: 5. An investment that earns 7.5% per year compounded monthly. What is the actual annual (1-year)…

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Q: x + 1 28. x² (x – 2)²

A: see below the answer and calculation

Q: 2 X fcx)- x+2ー100 Solve this question by the Bisection method on the topic of solution of Algebraic…

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Q: The park across the street is to be treated to control a new algae that is growing on top of the…

A: Given, f(t)=y=25t²-300t+600 The given equation is that of a parabola. It is of the form,…

Q: Using Heron's formula to find the area of the given triangle, what is the value of s? 45 ft 30 ft 21…

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Q: f (x,y) = 2x^3 + y^2 - 9x^2 - 4y + 12x +1028. Find all critical points of f. For each critical…

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (1, 5) Vf(1, 5) =

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±/10), vertices:…

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Q: Use the given information to find f '(8). f(x) = g(x)h(x) g(8) = 5 and g'(8) = 1 h(8) = -7 and h'(8)…

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Q: The vector parametric form of the tangent line to r(t) = (3t², ¿, t – 1) at t = -5 is

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Q: 6. INNICATE If SZilaEs IS convEILENT OR DIUERCENTO IOENTIFY WHOCH TEST(s) USED. n! n?

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Q: 10. For the function f (x) = -2· e* + 6, find the domain, range, and equation of the asymptote.

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Q: Problem 3 If the nth partial sum of a series E1 an is п— 1 Sn n+1 find an and E=1an.

A: The given data is: Sn=n-1n+1  To find the value of an and ∑n=1∞an.

Q: 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a…

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Q: 2. Find the value of xy dx + Vy2 + 1dy, where C is the path shown on the graph below. (Hint: Use…

A: We have to find the value of  ∫Cxy dx + y2+1 dy. Given the path C is

Q: fam (Hint let u = Inx and du=xdx) x Inx dx

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Q: 3. Use the fact that F = is a conservative vector field to evaluate SF. dr when C is the path r(t)…

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Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0)

A: To use polar coordinates  that are: x=r cos θ, y=r sin θ &amp; dA=r dr dθ 0≤r≤2-cos θ0≤θ≤2π

Q: Show that Q(V3, V3) = Q(v3+ V3) %3D

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Q: CQueslfon (2): sketch and hind Range- 1) fx)= (x +2) -4 2) frx)= 4-Vx-5 7) ) fox)= - Ix +3 +5 u)…

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Q: ALL of the following are properties of continuous functions except a. h/b is continuous at x = a…

A: given

Q: 1 dx /9x² + 4

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Q: 4.x – 6 2. Let f(x) 1- (2х - 3)3 (a) Find the Taylor series representation for f about r = 1.5 that…

A: This is a problem of expansion of the series. Based on the formula of taylor series we will solve…