detemined the area bounded by: * y : 4-x2, ond ly = 4 -x² 41 -x2,4=し+x、 Ond y=-0x. %3D %3D %3D

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Consider the following planes. -6x + y + z = 6 12x - 2y + 6z - 36 (a) Find the angle between the two…

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Q: the answer 10.805 is incorrect.

A: Apologies for the inconvenience.   The answer key asked for the exact answer. So we have to enter it…

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Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Find the derivative of the function y = (cos(x))" .

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Q: dx x² +4x+29 3.

A: Explanation of the answer is as follows

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Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class.…

A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

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A: The function P(t)=2.8291.484t, where t is the number of years after 2001,models this increase in…

Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

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Q: Since the start of July, OHagantbooks.com has seen ts weekly sales increase. OHagantooks.com fits…

A: We need to find w'(t)and find rate of increase.

Q: Evaleuate use integration by-lacts.

A: ∫x2e-3xdxUsing integration by parts

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A:

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

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Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below

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A: We have to find dy/dx for the given function.

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Q: Consider the curve 5 sin(y) + 3 cos(x) = 2. %3D Find y' by implicit differentiation. Find y" by…

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Q: (x-2x) dx -2

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Q: Verify that the function f(x) = In(5x) satisfies the three hypotheses of the Mean Value Theorem on…

A: Given: f(x)=ln(5x) Notice that the function f(x) is continuous in the interval [1, 8] and…

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A: We need to evaluate integral.

Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Given the following velocity function of an object moving along a line, find the position function…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: 12x Find a power series for f(x) = |x| an. (x2 + 1)? n=1 -1 Hint: First, find the power series for…

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Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x)= 4x+4 h (x)=…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: CoSx dx sin2x-5sinх-6

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Q: determine the values of p such that the function f(x)= px4+x3+x2 will have: A. 0 possible…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

Q: Find the derivative of the function F(x) = x* sec (x). F'(x) =

A: We will find the derivative of the given function in the following step.

Q: *Sketch all appropriate regions or solids.* Evaluate the integral by using a Jacobian "…

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Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the area of the region between the graphs of f(x) = 6x + 8 and g(x) = x² + 3x + 2 over [0, 2].…

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Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: Use partial fraction to find the integral 3-x 3ペ-ペート

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Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.