ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) · r"(t) (d) r'(t) x r'"(t)

Q: 4x d.x J V3 - 4x – 4x2

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Q: 1.

A: Given,  ∫1+∞1xdx

Q: is an improper integrat. dr A True B False

A: To check : The statement "∫-121x2dx is an improper integral." is True or False ?

Q: Question 6 Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 48 n 96 n 52 n…

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Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

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Q: Write the first 4 terms of the sequence. a1 = 5, an = - 8• an -1+9, for n> 1 What is the first term?…

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Q: Find the rectangular equation of the curve given by the parametric equations below. Then graph the…

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Q: Plot the points with polar coordinates -5, and 4, using the pencil. 11a 6. 4. 4T 3 如不

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Q: 19. e dr dr 4 – 2² 20. dr 21.

A: 19.)∫1∞e-xdx=-e-x0∞=-e-x0∞=-e-∞-e-0=-0-1=1∫1∞e-xdx = 1

Q: uestion 19 Describe the largest set S on which it is correct to say that f is continuous. f(x, y, z)…

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Q: Find the polar equution for the cartesian curve r=8 sin o Cos o r=8 sec e tan E r=8 sine tan E r=8…

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Q: 3. The tens digit of a two-digit number is thrice the units digit and their difference is 6. Find…

A: Solution: Let unit digit =x  and tenth digit=y  Now According to question: y=3x ---------(I) y-x=6…

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: 7. lim vx² + x + 1 – vx² + 1 X00

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Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

A: Given query is to find the solution of the differential equation.

Q: Follow the instructions. Typewritten for upvote.

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Q: +2 dx: Consider the indefinite integral a) This can be transformed into a basic integral by letting…

A: The given integral,        ∫e7x+2dx

Q: Convergent. or divergent dx ra5-x 3 25-X

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Q: The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A: Let a be the hundreds digit, b be the tens digit and c be the units digit. Thus our required three…

Q: (x) = 3x +4x+1 find (x) and "(x)

A: Topic:- application of derivatives

Q: Solve the following differential equations of yy' + y' = x;

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Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

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Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

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Q: Find the indicated limit or state that it does not exist. x2y + xy2 lim (x, y)-(0, 0) x2 + y2 O 2 O…

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Q: 23. sin 20 cos 20 dên

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Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: 19. e dr

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

A: Consider the indefinite integral

Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

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Q: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 4 and…

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Q: 3. A particular is moving with acceleration given by a(t) = 3 cos t - 2 sin t. Given that s(0) = 0…

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Q: the in integra a) (x³ + 1)dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: dx 14-9.x2

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Q: Solve the differential equation for general solution 7y6dy = 8x

A: Given query is to find the solution of the differential equation.

Q: You are given the following information about a termite colony population. The current population is…

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Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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Q: dx x* +4

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Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.