dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

Q: 6. Find the area bounded by the parabolas y = 6x – x² and y = x² - 2x. Note. The parabolas intersect…

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Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: Please can you maybe snap, I can't quite understand the way you typed it thanks

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Q: (e) lim [p(x)]9(x) (d) lim [p(x)]^x) Xa INDETERMINATE Xa INDETERMINATE 9(x) (f) lim p(x) Xa

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Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: I don't understand the a20 answer?? Is that 2n-7??

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Q: 6x² + 5x + 16 dx x3 + 3x2 + 2x + 6 5 Injx + 3| + in (x² + 2) – vZ tan () +C 5 In|x + 3| + in (x² +…

A: ∫6x2+5x+16x3+3x2+2x+6dx=∫6x2+5x+16x2(x+3)+2(x+3)dx…

Q: find f'(x) if f(x) equals the given expression. a. 3x + 2x^2 b. In (cos e-x)

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Q: how is the irrational zero found?

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Q: The market research department of a company recommended to management that the company manufacture…

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Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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Q: Arcsin(x/y) = 4x + 3y

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Q: x²+2x²y=2xy+2xy²–3y The expression is equal to x+y

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Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). cos-l(규) b. cos-() cos-(금) d.…

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Q: True or false every rational number is a decimal

A: Rational number is a number in p/q form, where q not equal zero.

Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: answer

A: We will find the second derivative.

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: 7 х2 + Зx + 3

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Q: Sketch the graph of f(x) = –3r³ – 4x² + 6x – 2 by following the steps in sketching the graph of a…

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Q: - (x - 2y) dy + (5x² - 5y³) dx = 0 %3D

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Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. Find an…

A: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. To find an…

Q: Find the domain and the vertical asymptotes, if any, of the following function x²-3 x²+10x+21° O a.…

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Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

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Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: 3. f(x)== 4. f(x) = + 1

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: Can you transcribe this to an image because I'm having a hard time understanding the equations

A: Here is the image form of the solution.

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t = 2 4 i+j T(2) : V5 N(2) = i

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Q: The function x2 f(x) 1 - x | has a local maximum when x = 2. Select one: True OFalse

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Q: Find the equations of the horizontal and vertical Tangents a. 25x2 + 200x + 16y2 - 160y + 400

A: a.The given equation is: 25x2+200x+16y2-160y+400=0 Rewrite the equation in standard form:…

Q: sin* x cos? x dx

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Q: Question There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x…

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Q: how did the y' and 2y' apearred out of no where in line 7

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

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Q: 1) Š(-1)"- n² 2" n=1 a) Show that the series is convergent.

A: We have to show that the series is convergent.

Q: 10% -10 -5 5 10 -5 -10 Find the direction angle of vector v to the nearest tenth of a degree.

A: The graph is To evaluate: The direction angle of the vector.

Q: 3 12х (a) 2 x2-1)2 dx 2 (x2-1)2

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Q: Solve x (x +1) dy + xy =1 ; y(e) = 1 %3D

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Q: What is the area of the enclosed regions in problem number 3?

A: We can solve this as follows:

Q: dx S. 2x - 1 e

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Q: please use the method of Miscellaneous Substitution

A: Here  We will use miscellaneous Substitution instead of partial fraction.

Q: (d) g(x) = v4 – x²;(-2,2) 2 (e) f(x) = (x + 1)3; [-2,1]

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Q: Convert to a polar coordinates. 11. (-4,4) lar form. Show work on separate paper.

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Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: can I get a written formula? I cannot understand the solution that you gave to me. please asap  !!!

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Q: P4: x3 dx (x² + 1)3

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Q: 2. If f(x) = ax3 + bx?, determine a and b so that the graph of f will have a point of inflection at…

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Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

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