(sin20 - 2pcos)d0 = 2dp

Q: S25 =

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Q: In the given graph determine the domain and range. E Domain Range

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Q: y² = 2x = x² 1- y² = (x - 1)² x = 1+√1-y²

A: (a-b)2 = a2 - 2 a b +b2

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Q: C. Evaluate the following inverse Laplace transforms. 2. L-1 0-¹ ((+3)+-3-²-23) { 6

A: Given L-1{ 6( s + 3 )4 - ( 2s - 1 )s2 - 2s } Formula used L-1{ 1sn } = tn-1( n-1 )!

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Q: make. Then simplify the in not need to evaluate the (a) Jalna da

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

Q: 3. y = 1+5x Inx

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Q: 8. Find the absolute maximum and absolute minimum values of the function on the given interval. Be…

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Q: To find the distance across a river, a surveyor chooses points A and B, which are x = 50 ft apart on…

A: To find the distance AC

Q: 4. Evaluate JJ✓ D √yevdA where D is the region bounded by y = x² and y = 4.

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4 2 3 4

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Q: I'm honestly confused how to take the integral of sin^6(x) with respect to x.  Can you explain why…

A: We can find the integral.

Q: Olympus Mons is believed to be the tallest mountain in the solar system at 22 km (22000 m) high. If…

A: Given query is to find the velocity when it hits the ground m

Q: A = 3+i4 ii) A if i) A + B * & B = 530 B iii) (A/B)-¹ find:

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Q: Evaluate using L'Hôpital's rule. (a) lim(x + 1)² 21 (b) lim re 24x

A: Let's evaluate given limit by using L'Hopital's rule.

Q: The expression A CSC X sin²x + cos²x sin x is equivalent to C sinxcot x

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Q: Find dy/dx and d²y/dx². dy dx d²y dx² = X = cos(2t), y = cos(t), 0 < t < π For which values of t is…

A: For which values of t is the curve concave upward? (Enter your answer using interval notation.) A…

Q: DQ : Consider the function f(x) = 4x²- of provide the the graph x-axis • use n = 5 intervals gives…

A: Let's find Riemann left and right endpoints sum.

Q: Determine the interval of convergence of the power series. (4x)k k! Σ k=0 O A. (-00,00) O B. (-4,4)…

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Q: If $700 is invested at interest rate i, compounded annually, in 5 yr it will grow to an amount A…

A: dxndx=nxn-1given  A=700(1+i)5

Q: on-right triangle shown below that has side lengths of 1.5 cm, 1.859 cm and 2. 1.5 cm 0.75 rad B…

A: here we have a triangle :-   (a)  since we know that the angle opposite to longer side is greater…

Q: Evaluate x+3 x²+x-2 X x²+4x+4 2x²+11x+15

A: Given: So,…

Q: 9.x = 1 -1 (1) -)₁ X 3 2-1 2 1-1,

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Q: Consider the function y = (ex+b)x. Which of the following is true? The function is increasing in its…

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Q: For all of the following questions, assume x is in radians. a. Consider the function f(x) = sin(x).…

A: Given: y= sinx

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: A line passing through the origin makes an angle with respect to the positive x-axis. Find how fast…

A: A line passing through the origin makes an angle with respect to the positive x-axis. To find how…

Q: Find the Laplace transform of the following function using the definition. f(t) = e³t-1

A: Given function:- ft=e3t-1

Q: Find dy/dx by implicit differentiation. - 4xy + y³ = c y' = x²

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Q: (e) An airplane is flying at an elevation of 6000 ft, directly above a straight highway. Two…

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Q: Find the arc length of the curve y = =(x-1)³/2 over [1,4]. Show all of your work.

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Q: 3 Which of the following is the domain of the function f (x) = x ³ ? O All Real Numbers O [0, ∞) Ⓒ…

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Q: Match the equation with its graph. x² + y² + z² 9 16 9 21 <|||| = 1 3

A: The given equation x29+y216+z29=1. We have to sketch the graph of the function.

Q: After a long study, tree scientists conclude that a eucalyptus tree will grow at the rate of 0.7 +…

A: QUESTION - After a long study, tree scientists conclude that a eucalyptus tree will grow at the rate…

Q: The function y = (x² + ax + b)² is parallel to the line y = − 3x + 7 at (1,0). Find a + b. 3 0 -3 O…

A: Given equation y = ( x2 + ax + b )2 y = -3x + 7  at point ( 1 , 0 )

Q: The expression cos (sec - cos 0) is equivalent to A 1 C sin² 0 B sin 0 D-cos²0

A: To solve the following problem

Q: (a) Find T₂(x), the 2nd degree Maclaurin polynomial for f(x). (b) Approximate f f(x) dx, using that…

A: To solve the following problem using maclaurin series for approximation.

Q: se also that p and x are both functions of time, measured in days. Find the rate at which x is…

A: Given query is to find rate of change of x.

Q: For each surface F(u, v), identify the shape of the grid curves when u is constant Some shapes may…

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Q: The area of a square is increasing at a rate of 48 centimeters squared per second. Find the rate of…

A: The area of a square is increasing at a rate of 48 centimeters squared per second.

Q: Find the total differential. dw = w = eбy cos(4x) + z10

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Q: f(x, y) = ln(36x + 5y) + 6x² - 5y Local maxima are Local minima are Saddle points are

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Q: Find the cost function for the marginal cost function. C'(x) = 0.04e0.02x; fixed cost is $10 C(x) =

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Q: r sin(0) = lnr + In cos (0)

A: