Given that 2+i is a zero of f, find all other zeros. (Enter your answers as a comma-separated list.) f(x) = x² - 6x³ + 10x² + 2x - 15 X = 10

Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x>0

Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: In geometric sequence the common ratio is denoted by RO

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

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

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Q: etermine the net area.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Can you solve this? 10x8 5x4 A) 2x² B) 2x¹2 = ? C) 2x4 D) 2x32

A: Solve the given

Q: 4. (a) Find L 5t cos at - e³ t (b) Find L te cosh 7t].

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Q: 25. Maximum revenue. A deli sells 640 sandwiches per day at a price of $8 each. (A) A market survey…

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Q: If f(x) = Σ n=0 M8 n=0 n + 1 -x" and g(x) = = n+ 2 ∞ Σ n=0 (-1)"+1", find the power series of(f(x) -…

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

Q: f'(x) = x²¹ - 2x² x¹2x² 2x−² + 1; f(1) = 5

A: Given that f'(x)=x-1-2x-2+1 -(i)Also given that f(1)=5.Our Aim is to calculate the antiderivative of…

Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(v2). -x²z sin(yz)…

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Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

A: This question is related to Limits, we will solve it using given information.

Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

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Q: The functions fand g are defined as follows. f(x) = g(x) = X x +4 x-5 x²+x-30 For each function,…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: At what point do the curves r₁(t) = (t, 5 − t, 35 + t²) and r₂(s) = (7 — s, s − 2, s²) intersect?…

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: A company can produce a mini optical computer mouse at a cost of $7.50 each while fixed costs are…

A: A To find; The average cost function. Given information; The company cost function is Cx=7.5x+80.…

Q: If y, and Y2 are linearly independent solutions of y" + 3y + (5 + t)y = 0 and if W(y₁, y2)(1) = 3,…

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Q: can you please write it clearly for a better understanding

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: 5 sin-¹ (²-)). 6 Determine the exact value of sec sin Note: Be sure to enter EXACT values You do NOT…

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Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: Let à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.

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Q: Evaluate the following integral. S²²³ x² +48x-16 x-16x dx *** x²+48x-16 3 x³ - 16x (Type an exact…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: The value of the definite integral 3 [² (3x² S is (3x² - 2x + 4)dx

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Q: 8 Find the sum of the series. Σ4¹/n-41/(n+1) answers. n=1 Give reasons for your

A: We have to find the sum of the given series.

Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: Approximate the area under the parabola y=x² from 0 to 5, using three equal subintervals. The…

A: We need to find approximate area.

Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Find the radius of convergence for Σ (sin²n)x". n=1

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