The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of imaginary zeros. 12 10 -8 6 2 C

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

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Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

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Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: Find the radius of convergence, R, of the series. R = 00 Ё хоп n = 2n (In(n))7 Find the interval, I,…

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Q: a 10, b = 8, c = 7

A: To solve the following triangle.

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A: Given that a equation of hyperbola and we find centre, vertices and foci and equation of two…

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Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: The population of the world¹ t years after 2010 is predicted to be P = Round your answers to one…

A: To find the population in 2026 and the average population between 2010 and 2026.

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: Estimate the area under the graph of f(x) = 3x³ between x = 0 and x=4 using each finite…

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Q: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

A: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

Q: 4-Z 4-z-2y k √ ₁² √²-²² ² -² -²y xyz²dx dy dz = 1 2 0 0 0

A: To solve for unknown.

Q: 13. For the following limits, verify that direct substitution yields an indeterminate form. Then use…

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Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: the following operations and simplify the results. State the domain restriction in +5x-14 2+8x+7 ÷…

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Q: These triangles are similar. solve for the indicated sides: X X +4 3 LO 5

A: Explaination of the answer is as follows

Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: In each of the following cases, find the value of the constant c so that the function f(x) is…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Problem 2: Given the function below, please find the maxima, minima, and the intervals where the…

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Q: Evaluate the integral. 1 2 (6x-2-6) dx (6x2-6) dx = (6x² 2 (Type an exact answer in simplified…

A: To evaluate the following integral.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Evaluate this integral | √2 3 (1+x) + C √x(1 + x² ) 5 dx (1+x)³ +C 3 ○ 2 √ (1 + x ³ ) 6 + C Va 3 6 3…

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Q: 8 7 5 3 2 1 0 1 2 3 (a) The integral f's f (x) dx -f(x)- 4 5 f (x) dx. Round your answer to the…

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Q: The Taylor series for f(x)=x³ at 3 is Σen(x-3)". Find the first few coefficients. Co C1 C2 C3 C4 =…

A: The given function is The Taylor series

Q: 9. The graph of y = 4x² - 5x is translated 2 units in the positive vertical direction and 3 units to…

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Q: 1. Find the equation of the line that goes through the point (1, 5) and 3 is parallel to the line y…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: Given F = xi + yj + 2z k and assume that N is the outward directed normal field to the surface S…

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

A: The Taylor series:Where centered at .

Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 I = 600 x…

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Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

Q: This problem finds the derivative of a function using the formal definition. The process is broken…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: 4 Find all critical numbers of fa)=x² (x-23

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

A: The given curve is .The aim is to find the slope of the tangent line.Derivative formulas used:

Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: Read the scenario carefully to answer the following questions. Ryan Mountain (5,456 ft) is a popular…

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