h(x) = x[x]. .

Q: Use an identity to solve the equation sin (x + π/4) + sin (x - π/4) = 1 on the interval [0, 2π).

A: We will use sin(A+B)=sinAcosB+cosAsinB and sin(A-B)=sinAcosB-cosAsinB    

Q: Find vahues for b such that the triangle has no solutions. A 24%, a= 5

A:

Q: Consider the function f(x) = 1/3x3 .                                                                ...

A: f(x) = 1/3x3  We need to do the following:  (a) Use a graphing utility to graph the function and est...

Q: the graph of ƒ' is given. Assume that ƒ iscontinuous, and determine the x-values corresponding to lo...

A: Local maximum occurs if f(x) goes from increasing to decreasing. That means f'(x) goes from positive...

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

A: According to Euler’s method,

Q: Calculus Question

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Q: Graph each side of the equation, sin x - sin x cos2 x = sin3 x in the same viewing rectangle. If the...

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Q: Compute the following expressions for z= ye^x^2+xy^2

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Q: Analyze the trace when the surface z = (1/2)x2 + (1/4) y2 is intersected by the indicated planes. Fi...

A: Consider the value of y=4

Q: Find the derivative of the function.

A:

Q: Calculus Question

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Q: sin y Evaluate, lim (x.y)(3,0) y

A: To find  Substituting the limits in the given function we get, Which is an indeterminate form.

Q: Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your ...

A:

Q: 1. Which of the following represent the integral of f(x, y) = x² + y² over the unit circle? -2л (a) ...

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

A:

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

A: Given logarithmic expression:

Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator  

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

A:

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the g...

A: a) Using the limit definition of f'(x) we get:

Q: Solve and Check all proposed solutions : √(2x + 19) - 8 = x

A: Given equation:

Q: 1 d) In this thesis we consider complex numbers and in terms of the imaginary unit.   Find all (comp...

A:

Q: If f(x) = 4x2 - 2x + 7, find and simplify.

A: First we find f(x+h)  

Q: use the table of integral to find integral  x2  / sqrt 5 -4x 2   dx

A:  

Q: Explain how to find the least common denominator for denominators of x2 - 100 and x2 - 20x + 100 ?

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Q: Evaluate the integrals

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Q: Computing the derivative of ƒ(x) = e−x

A: Given function is

Q: Solve it early I upvote

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Q: Solve the equation x3 - 17x + 4 = 0 given that 4 is a root.

A: Given that x=4 is a root. So (x-4) is a factor. So, we will use synthetic division to find the other...

Q: Use the graph of f(x) = x3 to obtain the graph of h(x) = (1/2)x3.

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Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: find the line integrals along the given path C. ∫C (x - y) dx, where C: x = t, y = 2t + 1, for 0≤ t≤...

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Q: Differentiate the following v=(1-t)(1+t2)-1

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Q: Remainders Find the remainder Rn for the nth-order Taylor polynomial centered at a for the given fun...

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Q: Use the properties of logarithms to write the expressions in as a single term. ln sec θ + ln cos θ

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Q: Find the area of the region bounded by the curves y = x²-2x and y= - x.

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Q: A large koi pond is filled from a garden hose at the rate of 10 gal/min. Initially, the pond contain...

A: a) Given that initially, there was 300 gal of water.  And water is entering at a rate of 10 gal/min....

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

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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Q: Find limit x appraoaches infinity  e 2x /(e 2x +1)

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Q: What is an odd function? How can you tell that a function is odd by looking at its graph? Give an ex...

A: If a function is symmetric about origin or if it satisfies f(-x)=-f(x). Then the function is an odd ...

Q: The following functions are positive and negative on the given interval.a. Sketch the function on th...

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Q: How do we solve this using Divergence Theorem when the shape is not closed at the bottom? Also how d...

A: Consider the given vector field, The surface S is a four-sides of the cube [0,1] x [0,1] x [0,1]. H...

Q: Graph the given equation in a rectangular coordinate system:  Let f(x) = -2x2 + x - 5. a. Find f(-x)...

A: a) So, f(x) is neither odd or even.   Answer(a): Neither  

Q: Fill in the blank/s : In order to graph y = 3cot πx/2, an interval containing one period is found by...

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Q: Improper integrals Evaluate the following integrals or state that they diverge.

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Q: Calculus Question

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.