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Q: If one point on a line is (3, -1) and the line’s slope is -2, find the y-intercept.

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Q: Find the limits

A: The given function is  

Q: Find a power series representation for  x5/(5-x2)

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Q: If (x, y)lim(2, 3) f(x, y) = 4, can you conclude anything about f(2, 3)? Explain.

A: Assume the function z = f(x,y).First observe the value of the limit for x followed by y.

Q: Find the Taylor polynomials p1, ⋅⋅⋅, p5 centered at a = 0 for ƒ(x) = e-x.

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Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2...

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: Find the Maclaurin series for the function f(x) = sinπ x. Use the table of power series for elementa...

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Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

Q: A rational expression whose numerator or denominator or both contain rational expressions is called ...

A: The rational expression whose numerator or denominator or both contain rational expression is called...

Q: Evaluate the upper and lower integral of the function, show that the function is integrable and find...

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Q: Integration by parts Evaluate the following integrals using integration by parts.

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: If v = 7i - 4j and w = 2i - j, find the dot product v.w

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: Find the limit

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Q: Question: Prove that the 2d-curl of a conservative vector field is zero,  ( ∇ × ∇ f ) ⋅ k = 0       ...

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Q: How are the Angles measured?

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Q: Write the Equation of the line that passes through (-1,3) and (2,6)

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Q: Convert the angle in radians to degrees: -5ᴫ /3 radians

A: We will use π radian = 180 degrees .  

Q: Question-based on, "graphs" I have provided the equation, however, I am struggling with plotting it,...

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Q: Need solutions to this question as soon as possible, please

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Q: Express the distance between the numbers -19 and -4 using absolute value. Then find the distance by ...

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Q: Derive the identity using the identities listed in this section.

A: To Prove

Q: Find the Maclaurin series for the function f(x) = cos2 x.     Use the table of power series for elem...

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Q: Differentiate (2x+1) 5  (x 3  -x + 1) 4

A: We use the product rule

Q: Which differential equation is variable separable? xy dx + (x² + 1) dy=0 B (x² + y) dx – 3xy dy=0 C ...

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new quest...

Q: Evaluate or simplify the following expression without using a calculator. cos 1cos-11-122

A: Given

Q: Complex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law re...

A: Given that I = (2 - 3i)  and R = (3 + 5i) We have to find E  

Q: Consider the curve defined by 2x - y + y3 = 0

A: Given, the curve 2x – y – y3 = 0.

Q: find the general solution of the given equation. y" - 4y = 0

A: To determine: The general solution of the given differential equation:

Q: Find the area of the region bounded by the graph of y = x /(x2 + 1) the x-axis, and the line x = 3

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Q: 1. Consider the following information about the functions f, g, h, and j: Domain of f: all r # 2 f(x...

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Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on...

A: A function is increasing in a range if the slope of the tangent is Positive. This can also be checke...

Q: Find the area of the region bounded by the curve y=xe-x and the x-axis from x=0 to x=4

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Q: Lesson # 90320 – 4/4 Graph the following: State the behavior of the graph. ( even + or - ; odd + or ...

A: Since you have asked multiple questions in single request,  So we will be answering only first quest...

Q: Question-based on the "table of values", I have tried it however it has confused me. The graph is th...

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Q: Evaluate the integral.  integral  sec 3 x  tan  4 x  dx

A: Given

Q: Solve the polynomial inequality x3≤ 4x2 and graph the solution set on a real number line. Express th...

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Q: Trigonometric integrals Evaluate the following integrals. ∫cos3 20x dx

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Q: Find the average value of the function graphed in the accompany- ing figure. 1 2

A: The function of the above graph can be represented as: Thus, the function is x when the value is in...

Q: C D A= Ao C= A0 II. Select one of the four sketches to describe the end behavior of the graph of th ...

A: To find end behavior, degree of leading term and sign of leading coefficient of graph shown in figur...

Q: Calculus studies change by analyzing slopes of secant lines over successively shorter intervals.Dete...

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Q: Determine the slope  of  3(x2+y2)2=100xy At the point (3,1)

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Q: Show that the functions have exactly one zero inthe given interval. g(t) = 1/(1 - t) + √(1 + t )- 3....

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Q: Analyze lim xSo* and lim So- - X by determining the sign of the numerator and denominator.

A: For this limit x-5=0-5=-5 this is negative. But the denominator is positive but close to 0.  So this...

Q: find the curl of each vector field F. F = yezi + zexj - xeyk

A: Given the vector field: Now, The x,y, and z component of the given vector field :