The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

Q: Simplify the following rational expression. State the domain restrictions: a) x3-8 2x3-8a

A: To simplify the following rational expression and to state the domainrestrictions.

Q: Find the limit of f(x) = lim f(x) = -5 9√x+x 3x-9 X→∞ (Simplify your answer.) as x approaches co.

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. X = = t³,…

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Q: Find the sum of the series: n=0 (-1)"49"+2 n!

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Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Fill in the blank Thank you

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Q: derivative In 2 x-1 2 x+1

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Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+ 2t³,…

A: x=8+3t2

Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: Evaluate the given definite integral. HAL 5 - dy Y

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Q: 3. Evaluate the integrals. a. b. /4 5*1*4 (sec (1))² dt [²7/x dx baxax 8x dx

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Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

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Q: Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d…

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Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

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Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

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Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: y'-(4/x)y=x^(5)*e^(x) how do I solve this differential equation?

A: The given differential equation is

Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

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Q: 3. If y = esin, find dy.

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Q: 1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to…

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Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: Evaluate ∫∫∫E(x+y−3z) dV where E={(x,y,z)∣−4≤y≤0,0≤x≤y,0≤z≤x+y2}

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Q: Find the equations of the tangent and normal lines to the graph of the function at the given point.…

A: The equation of the tangent line  to the curve y= f(x) at x= a is  The equation of the normal line…

Q: 13. For the following limits, verify that direct substitution yields an indeterminate form. Then use…

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Q: Express equation in the form y = f(x) (eliminate the parameter). a. c(t) = (t-¹,t-²) b. c(t) = (et,…

A: There are three different questions given. As per our company guidelines, we are supposed to solve…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point x = -5, are as follows: What…

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Q: Let f(x) be a continuous function for which we know f(2)=3, f(4) = 5, f'(2) = 7, and f'(4) = 19.…

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: Consider the indefinite integral ax + b + where Then the integrand decomposes into the form C d a =…

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Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: logarithms. Express powers as factors. 1. A 50-mg sample of a radioactive substance decays to 34 mg…

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Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: Please answer parts C and D

A: We have to find the limit of the given function.We will use the L Hospital rule to find the limit.

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

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