28.y= I 4+4

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

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Q: Problem 10. Find the inflection points of f(x) = 8x + 110x³ - 42x² + 10. (Give your answers as a…

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: The population of a herd of deer is represented by the function A(t)=190(1.31)t, where tt is given…

A: Solve the following

Q: Select all rational functions. There are several correct answers. 7x²+2x-6 3 3 7x²+2x-6 7x²+2√x-6…

A: Rational Function : A rational fraction, which is an algebraic fraction such that both the numerator…

Q: What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't…

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Q: 1- Find the inverse of Laplace transform of log s²+1 (s-1)²,

A: To find inverse Laplace transform:

Q: Find the general solution of the given ODE ( 40² – v) dx + x dy 0.

A: The given DE is: (y2-y)dx+x dy=0⇒(y2-y)dx=-x…

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

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Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: Answer the following True or False: d 574 da 775 = O True False > Next Question

A: Solve the given

Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

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Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: cos xdx 54-sin²x

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Q: With your pencil, make a dot on the position of your best visual estimate of the centroid of the…

A: Here, from the given data, it is clear that the centroid is on the y-axis. So, the x-coordinate of…

Q: For the function, locate any absolute extreme points over the given interval. (Round your answers to…

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Q: If an object is moving along a linear path with v(t) = 3t2 + 3t 5. At time t = 0 the position of the…

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Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: Does the series n=1 n5/4 converge or diverge?

A: The given series is 1/n5/4, n from 1 to infinity.

Q: Determine whether the following series converges. 8 5(-1)k Σ 5k+6 k=0 Let ak 20 represent the…

A: The given series is ∑k=0∞5-1k5k+6

Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).

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Q: For the following equations, enter y if the equation defines y as a function of x but not vice…

A: y if the equation defines y as a function of z but not vice versa, x if the equation defines z as a…

Q: Imagine yourself drawing series of equilateral triangles in a given equilateral triangles by…

A: Given: . The perimeter of the given triangle is 24 feet.  Suppose the ink of your pen can print a…

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 8x³ +84x² + 240x. g'(x) =…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: What is the average value of f(x), between x = 0 and x = 5 for f(x) = 2 + sin(x)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Solve the following equation on the interval 0 ≤0<2T. cos ²0- - sin ²0= sin 0+1 Select the correct…

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Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

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Q: 5. Evaluate each of the following inte x² (53+1)3 (5 (a) da

A: We have to find the solution As per guidelines we have to solve one question Please repost other…

Q: Using the first derivative find a point on the line (below) that is closest to the point P(5,-6).…

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Q: Where does f(x)=- have a critical point, which is not an extremum? O O O x = -1 x=0 x = √√3 x = 1 x³…

A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

Q: Let f(x) Calculate lim z→-5- lim 2-5+ (−4 − x)² +3 if x = -5 4x + 23 if x = -5 the following limits.…

A: Given  f(x) = (-4-x)2 +3 if x≠-5  4x+23       if x= -5

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: Graph the function. y = log, x Plot four points and an asymptote. Then click on the graph icon. 9.…

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Q: 1. (D² 2. (D² -3D+2)y=sine* -3D-4)y=16x-50cos2x :

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Evaluate the following limit using L'Hospital's rule. lim (ez + 2x) (+) x+0+*

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Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: The linear density of a rod at a point a centimeters from the left end is, where the left 2 grams…

A: Here, the objective is to find the mass and center of mass of the rod.

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: The following chart shows student population in a certain elementary school over a 5 year period.…

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Q: Work Problem 3 (.. : b) Using the Lagrange multipliers method find the extreme value(s) (if it…

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Q: dr 9. = -r tan 0, when 0 = π, r = 2 de

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Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = Z

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: Use linear approximation (or differentials) to estimate the given number. Estimate sin (5°) using…

A: 1. we have to find sin5° using that sin0°=02. we have to find ln3 using that lne=1 use the linear…

Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

A: