f(x + h) – f(x) Find an simplify for f(x) = x2 + x. h.

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Q: sin θ = 5/13, θ in quadrant II. Find the exact value of the remaining trigonometric functions of θ.

A: In the 2nd quadrant, only sin and csc are positive.  Given,  

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A: To evaluate the given limits, the nature kf the graph is to be observed.  

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

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Q: 5.4 Problem #4

A: Integrate W with respect to x as follows.

Q: Find the length of the cardioidr35-5 cos 0. The length of the cardioid is (Simplify your answer.)

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Q: Express the difference sin x - sin 2x as a product. If possible, find this product’s exact value.

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Q: Simplify : (x/3 -1) / (x-3)

A: Given, 

Q: Find the area of the shaded region. f(x) = x* – 8x° +21x, g(x) = - 14x+ 136

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Q: Find the exact value of the expression tan [cos -1 (4/5)]. Do not use a calculator.

A: tan [cos -1 (4/5)] We need to find the exact value of the given function.  

Q: Find the limit

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Q: Complete the square and write the equation x2 + y2 + 8x + 4y + 16 = 0 instandard form. Then give the...

A: We first complete the squares So the center= (-4,-2) and radius = √4= 2  

Q: a. Find the open intervals on which the function is increasing and those on which it is decreasing. ...

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Q: Let R be the region bounded by the following curves. Use the method of your choice to find the volum...

A: We sketch the region using a graphing calculator.  The shaded region will rotate about the x-axis. ...

Q: Find the product : (a - b)(a2 + ab + b2)

A: The given expression is  

Q: Double integrals Evaluate each double integral over the region R by converting it to an iterated int...

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Q: 13h dn.

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Q: Find the particular solution of the differential equation √x + √y y′ = 0 that satisfies the initial ...

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Q: Express the distance between the given numbers using absolute value. Then find the distance by evalu...

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Q: lim r+1 Number z-1 x2 –1

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Q: Find the roots of the polonomials: 11)      (x^5)+(x^3)+(8x^2)+2 10)      (x^5)-(x^4)-(16x)+16

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Q: Use the test of your choice to determine whether the following series converge.

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Q: 4x lim エ→-0 r2-8z+3

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(2, ...

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Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

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Q: evaluate the following for f(x)=x^2-4x+1 f(6)-f(2) f(x)-f(2) f(2x)

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Q: Evaluate, if possible, the cosine function and the cosecant function at the following four quadranta...

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Q: 5.4 Problem #21 Show how to approximate the required work by a Reimann sum. Then Express the work as...

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Q: 67–72 - Equilibrium of Forces The forces F,, F,. . .., F, acting at the same point P are said to be ...

A: "As per authoring guidelines, the first three sub-parts of the question is answered. Please repost t...

Q: Find the derivative of f (z) = 3ª In (z). Enclose arguments of functions, numerators, and denominato...

A:  f(x) = 3x ln(x) we know that-->      

Q: What are the Secant Lines?

A: If we join any two points on a given curve then the joining line is called the Secant Line. Secant l...

Q: 5.4 Problem #6

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Q: Find a · b. |a| 40, |b| = 30, the angle between a and b is 37/4. %3D

A:  |a| = 40, |b| = 30 and the angle between a and b is 3pi/4. We have to find the dot product a.b.

Q: Find the scalar and vector projections of b onto a. = (3, –6, –2), b = (3, 3, 2) a

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Q: Evaluate the integral

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then ...

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Q: Reflection property of parabolas Consider the parabola y 4p with its focus at F(0, p) (see figure). ...

A: Equation of the parabola is  The point P(x0, y0) lie on a parabola. To find the slope  Differentiat...

Q: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)...

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Q: Evaluate the integral and find the value of C

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Q: Laplace equations Show that if w = ƒ(u, y) satisfies the Laplace equation ƒuu + ƒyy = 0 and if u = (...

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Q: 5.4 Problem #3

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Q: Define Open set ?

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Q: Evaluate  expression,or indicate that the root is not a real number. ∜ -81

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Q: Limits of two-variable functions Evaluate lim (x, y)-(2, 8) (3x?y + Vxy).

A: We will find the limit by substitution