Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -55)

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Second derivative shows the concavity of any curve.

Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

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Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: To find the recursive definitions and closed formulas of the arithmetic sequences.

Q: A = 13 ;Prove A2 - 5A = 21

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Q: 4. If ) Cn (x + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: ∑n=1∞cn(x+2)n Since series convergence for -5&lt;x≤1Then Interval of convergence is (-5,1]Let R be…

Q: 3. Let f(x) = 1+x + x² + x³ +x* + x³. (a) definition of Taylor polynomials. Find T3(x), the Taylor…

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Q: 0 < x < 1 where f(x) is p.d.f. Find: 1. Let f(x) = Cx (i) the constant C. lii PG < x<) and P(-< x <…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: What is the spherical excess of a spherical triangle whose angles are all right angles

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: 5. Use a triple integral to find the volume Of the gNen solid The terrahcdron enclosed by the…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

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Q: Use the First Derivative Test to find the local maximum and minimum values of the fu M(t) = 4t3 +…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n V n2 + 4…

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Q: Use the limit laws to evaluate the limit. lim (5x° - 5x + 6) Select the correct choice below and, if…

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Q: Determine the extreme values of the ff. functions. f(x) = 2x^2 +8x -11 on [2,4]

A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: Σ Use the Direct Comparisơn Test to determine the convergence or divergence of the series. 00 1 Σ…

A: I have appended the formula used in the solution part.

Q: xト10 (オー2)(xフxt) dx

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: First we will find the equation for revenue.

Q: Suppose y(t) = 4e-5t is a solution of the initial value problem y' + ky = 0, y(0) = yo. What are the…

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Q: 2 The window shown in the figure below is made fro a given frame'length(L). Find the ratio (h/r)…

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Q: sec'x tan?x

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Find the number of 3-permutations of a set with seven elements.

A: the numer of permutation of n distinct object , taking r at a time is = P(n,r) here we have to find…

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

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Q: Evaluate the integral. 8. 9. dx x² 7.

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Q: pts Evalaute the integral y sin(z) dz dy dz. Enter an exact answer using fractions and radicals as…

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 12…

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Q: Solve using the method of undetermined coefficients y" + 3y' +2=6

A: Let's find.

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Solve using the method of undetermined coefficients 1/4 y'' + y' + y= x² - 2x

A: Here we have to solve the given differential equation by the method of undetermined coefficients. We…

Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: lecture(12.4): Here are the final grades for the students who took STAT683 last semester.…

A: The mean of data N number of data x1, x2, x3, ..., xN is μ=x1+x2+x3+ ... +xNN The standard…

Q: A quadratic function f is given. f(x) = x2 + 2x - 1 (a) Express f in standard form. f(x) =

A: f(x)=x2+2x-1a) Standard form of f is       f(x)=x2+2x+1-1-1f(x)=(x+1)2-2Therefore standard form…

Q: The distance that a free falling object falls is directly proportional to the square of the time it…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Find the Taylor series expansion for the following function about c = 1 1 f(x) = 1+2x

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Q: Evaluate the integral 1 12 3x (x - 1) dx 0.

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Q: Evaluate the limit. NOTE: Enter the exact answer. lim x→0 sin? 2x

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Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

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Q: Solve using the method of undetermined coefficients y'' - y' + 1/4 y=3 + e^x/2

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Q: A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the…

A: The given problem is solved below in detail.

Q: Devin set up a fund that would pay his family $3,500 at the beginning of every month, in perpetuity.…

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Q: Write the quotient in standard form. 3 5 – 9i

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

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Q: Your answers from smallest to largest 0. If an intersection occurs at the pole, enter POLE in the…

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