Suppose the following is true. 2x+1 if x#0 if x= 0 9(x) =. 4 Compute g(0) and lim g(x). g(0) =[ (Simplify your answer.)

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A: To find the limit of the function.

Q: Integration by parts Evaluate the following integrals using integration by parts. ∫x9 ln x dx

A: Given

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A:

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A: Given: A point (-4, 3) on the terminal side of angle θ. We have to find the exact value of each of t...

Q: This Question: 16 of 25 (12 complete) The edges of a cube increase at a rate of 5 cm/s. How fast is ...

A: Length of each edge of a cube is 10 cm. a=10 Edges of a cube increases at a rate of 5 cm/s. dadt=5

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A: To calculate the coordinates and multiplicity of any x-intercepts of f(x).

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

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Q: 10. LARPCALC10 10.7.011. MY NOTES ASK YOUR TEACHER Plot the point given in polar coordinates. (-7,) ...

A: Consider the given point as -7, 2π3

Q: Solve the triangle B = 5°, C = 125°, b = 200.Round lengths to the nearest tenth and angle measures t...

A: Draw the triangle: Determine angle A. A+5°+125°=180°A=180°-130°A=50°

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A: Given,          limx→∞2xx2+x

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A: Note: Since you have posted multiple questions we will solve only first question for you. If you wan...

Q: Use one or more of the six sum and difference identities to verify the identity.

A: Given expression: We know that cosx-y=cosxcosy+sinxsiny cosx-π2=cosxcosπ2+sinxsinπ2cosx-π2=cosx(0)+...

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Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.  

Q: Differentiate the function.   f(x)  = √ x in x

A: Given function fx=x Differentiate the function w.r.t "x" f'x=ddxxf'x=ddxx12  

Q: Prove the following inequalities (ii) -10|< sin 0 < |0| and -|0| < 1– cos 0 < |0|

A:

Q: I need help with this question, thanks in advance

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the char...

Q: Use the graph to find the following limits and function value. 4- a. lim f(x) x-2 b. lim f(x) 2- x--...

A:

Q: Step by step how do I complete this problem? Please help.

A: Observing from the graph properly

Q: solve b + 1 a + 1 38. b а — 1 for a b a 39. V = tarh; for r mM 40. F = G- for r

A: Since there are multiple questions present, according to company policy we will be answering only th...

Q: Find the function of the form f(x) = ca* that contains the two given graph points. (1,1) and (2,3) T...

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Q: Assume that postage for sending a first-class letter in the United States is $0.36 for the first oun...

A:

Q: Use series to evaluate the limits

A:                                         Given: To find:  lim t→0  1- cos t - (t22)t4Formula:  cos t ...

Q: Find the derivative of the function. f(x) = ( x/√x + 5)3

A: It is given that,fx=xx+53. We have to find the derivative of the function.  

Q: Determine the amplitude, period, and phase shift of function y =4cos (2x - π). Then graph one period...

A: The given equation is of the form y = A cos (Bx – C). On comparing with the standard form, we get A ...

Q: solve it asap.

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Q: A particle moves in a straight line with a time-dependent velocity v(t) = 2 –t (given in m/s). What ...

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Q: Graph the function g(x)=-2x-1

A: We have to graph the function  g(x) = - 2x - 1 x 0 -0.5 1 -1 g(x) -1 0 -3 1

Q: Determine whether the following statements are true and give an explanation or counterexample. Compl...

A: To verify whether the given statement is true or false.

Q: Зx (х-1) x + 1,x # 2 15. If f(x) = · |x²-3x+2 -3 , then f (x) is continuous x = 1 x = 2 4

A:

Q: A copy center charges 10¢ a copy if you make 200 copies or less. For bulk orders (orders over 200), ...

A:

Q: lim x approches 0 of sin(5x)/7x

A: We have to calculate; A=limx→0sin(5x)7x

Q: Solve each equation. 3 ln15t + 42= 12

A: Our Aim is to solve the equation given below:-→3 ln (15t)+42=12 -(i)

Q: If f(z) = z+2 and g(z) = z-2, (a) f(g(z)) = %3D (b) g(f(z)) = %3D (c) Thus g(z) is called an functio...

A:

Q: The position function of a particle is given below. s(t) = t3 + 6t2 − 59t, t ≥ 0 When does the par...

A: Given,         The position function of a particle is given below :          st=t3+6t2-59t ,t≥0     ...

Q: Compute the derivatives of the functions

A: Given  g(x)=x+x2x3+x+2 To take derivative of g(x), we apply product rule (uv)'=u'v+v'u g(x)=x+x2x3+x...

Q: Sketch the graph of the function and check the graph with a graphing calculator. Before doing so, de...

A: Given: fx=e-x-1.

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Q: Verify the identity: cos x csc x = cot x

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Q: Find y' if  in xy   = ySinx.

A: Differentiate separately both sides of the equation (treat  y  as a function of  x ):ddxlnxy=ddxy si...

Q: 19. At how many points on the interval [-5, 5] is a tangent to y = x + cos x parallel to the secant ...

A: Solution: The objective is to find at how many points on the interval [-5,5] is a tangent to y=x+cos...

Q: f(x) is graphed below. Find each value. 10+ -9- -구 5- 4 3- 10 -9 -8 -6 -5 -4 -3 -2 -1 2 3 5 16 -2 -3...

A:

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.