Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt 0.

Q: Consider the curve defined parametrically by x(t) = cos(t), y(t) = sin(t), te [0, π] (a) For what…

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Q: Evaluate CF dralong the line segment C from P to Q. F= x j; P(3,2), Q(3,8) SCF dr- i

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Q: A 25-year-old woman burns 200- 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: n and fractions where needed.)

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: D(x) = 62-0.1x

A: answer is in next step

Q: 2. Find the extreme values of on [-2,2]. f(x) = Sve™, | 2x³ – 9x² - - x 0

A: Solve

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: ecos (0) and y e-sin(0) Consider the curve parametrized by x = Amen for 002π. At what points (x, y)…

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Q: If an arrow is shot straight upward on the moon with a velocity of 57 m/s, its height (in meters)…

A: Given problem:- If an arrow is shot straight upward on the moon with a velocity of 57m / s its…

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: A 25-year-old woman burns 350 - 60t cal/hr while walking on her treadmill. Her caloric intake f…

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

Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

A: Solving the problem by finding the correct answer.

Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. [f(x)dx a Area…

A: topic - definite integral area above the x axis is taken as positive in definite integral when…

Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

A: This question is based on limits.

Q: Trigonometric

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Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…

A: Find your answer below

Q: For the quadratic function f (x) = −2(x+1)2 +2, find the vertex, x−intercepts (if possible),…

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Q: ersects the circle at the points (4,1) d (6, 13) as shown. Find the coordinates of the circle's…

A: Topic:- geometry

Q: How many times will you use double angle identities to solve the integral of (sinx)^2*(cosx)^2dx?…

A: ∫ sin2x cos2xdx

Q: Determine the positive and negative intervals of the polynomial function P (x) = x(x − 2)(x + 2)(x +…

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Q: ergence Theorem to find the flux of F(x, y, z) = (x - z)i+ (y – x)j+ (z – urface of the cylindrical…

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Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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Q: A kettle of water is warming for tea. The equation below represents the water temperature, W, after…

A: Given query is to find the time to reach the temperature of the water to 175°.

Q: Use a Maclaurin series derived in class (a) f(x) = x arctan x (b) f(x) = x²e=x

A: Given, f(x)=sin^2 (x)

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 4x²,…

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: A particle moves in a straight line with the given velocity v(t) = 24 – 6t (in m/s). Find the…

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Q: Evaluate the definite Integral 4 600 St дос 2 √ 1 + 300²

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Q: Use Stokes' Theorem to evaluate F. dr. z = 4 – 22 – y? F(x, y, z) = 2zi + 10xj+ 3yk where C is the…

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Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Roumd your answer to two decimal places when…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct

Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: what is the domain and range of f(x, y, z) = x + ln y + cos z (please explain)

A: The given function is:f(x, y, z) = x +lny +cos z x is defined for all real numbers. So The domain of…

Q: 12 71. (-5-81) 1-4 1000

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Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever…

A: Solution:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - log; 7 3* dx =

A: ∫0log37 3xdx

Q: Area of the plane region y=2x^2+1 and y=x^2+5

A: To find the area of the plane region bounded by the given curves.

Q: 1 O Evaluate lim (3" + 7")

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Q: 3. Find an equation of the tangent plane at P = (0, 3, –1) to the surface with equation ze" + elz+1)…

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Q: if x 2 a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)…

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