3 4

Q: Simplify by reducing the index of the radical.

A:

Q: Use properties of logarithms to condense the logarithmic expression, 1/3(log4 x - log4 y). Write the...

A: Given logarithmic expression:

Q: (1– 1)y' – y² +x²y+2x = 0, Y1 = -x² %3D

A:

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numb...

A:

Q: 16. Approximating displacement The velocity in ft/s of an objectmoving along a line is given by v = ...

A:

Q: Use the addition formulas to derive the identities cos (A - B) = cos A cos B + sin A sin B

A:

Q: Consider a random variable X with probability density function S kx for 1 < x < 5, f(x) = otherwise.

A: Given data:     The expression for the probability density function is: .   The expression for the p...

Q: Find a power series for f(x) = 4/( x + 2), centered at 0.

A:

Q: use Euler’s method to calculate the first threeapproximations to the given initial value problem for...

A: According to Euler’s method,

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If we draw vertical lines through the graph. And if each line cuts the graph onl...

Q: Use the identities for sin(* + *) and sin(* - *) to solve, Subtract the left and right sides of the ...

A: We know, sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-cosAsinB  

Q: Using: limx→4f(x)=3 and limx→4g(x)=7, evaluate the limits, limx→4 f(x)g(x)= limx→4 f(x)/g(x)=

A:

Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is increas...

A: Given,

Q: A baseball is hit from a height of 2.5 feet above the ground with an initial speed of 140 feet per s...

A: The projection vector for a projectile is We have, Thus,

Q: Find the limit.

A:

Q: 4 Find the derivative ofƒ(x) = 4ex - 3x2

A: Differentiate both sides with respect to x.  

Q: Solve: e2x - 4ex + 3 = 0.

A:

Q: Use the specified substitution to find or evaluate the integral.

A:   We need to use the specified substitution to find or evaluate the integral.  

Q: The graph of f passes through (-2, 6) and is perpendicular to the line whose equation is x = -4.Writ...

A:

Q: Use the attached graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if a...

A: a) The graph cuts/touches the x-axis at x=-2 and x=1  So, x intercepts are x=-2 and 1   Answer(a): ...

Q: 25-26 - Average Rate of Change of a Linear Function A linear function is given. (a) Find the average...

A: Given function is

Q: |x - 7| &gt; 2 can be rewritten without absolute value bars as_________.

A: If we remove the absolute sign then we have to put plus or minus sign with it.  So,  

Q: Graph the given equation. Let x = -3, -2, -1, 0, 1, 2, and 3.  y = 2x - 4

A:

Q: Give reasons for your answer

A: The graph of the function sin (1/x) is,

Q: Iterated integrals Evaluate the following iterated integrals.

A:

Q: Optimal popcorn box A small popcorn box is created from a12" x 12" sheet of paperboard by first cutt...

A:

Q: Fill in the blank/s: If sin 0.9695 ≈ 0.8246, then the solutions of sin x = -0.8246, 0 ≤ x &lt; 2π, a...

A: We know that sin is negative in the third and the fourth quadrant.    Given that sin 0.9695 ≈ 0.8246...

Q: Calculus Question

A: Given: The concentration of a drug in bloodstream follows the function: (a). To find: The time when...

Q: determine the general solution to thegiven differential equation. y′′ + 2y′ + 2y = 0.

A:

Q: Solve the Bernoulli equations y' - y = -y2

A:

Q: Evaluate the integral. ∫0 π/3 tan5 x Sec4 x dx

A:

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work by...

A:  

Q: The region bounded below by the parabola y = x2 and above by the line y = 4 is to be partitioned int...

A:  

Q: Use the most appropriate method to solve the equation sin 2x + cos x = 0 on the interval [0, 2π). Us...

A:

Q: Refer to image

A:

Q: If x = 4 tan(θ), find sec(θ) and sin(θ) in terms of x.

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Q: The electrical charge distribution on a circular plate of radius R meters is s(r, θ) = kr(1 - sin θ)...

A:

Q: Find each limit, if it exists.

A: We need to find the limit if it exists.

Q: For the position function s(t) = - 16t + 110t, complete the following table with the appropriate ave...

A:

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola: x = h +...

A: Hyperbola: x = h + a sec θ, y = k + b tan θ We need to eliminate the parameter to obtain the standar...

Q: Use the definition of Taylor series to find the Taylor series f(x) = ex, centered at c = 1, for the ...

A:

Q: College students are graduating with the highest debt burden in history. The bar graph shows the mea...

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Q: 18. Let S be the portion of the plane z = x contained in the half-cylinder of radius R depicted in F...

A: Consider the function: Using Stokes Theorem Finding the curl

Q: In Exercises 7-12, express the interval in terms of an inequality involvingabsolute value. 7. [-2, 2...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.  

Q: Refer to image

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.