To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

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Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx &amp; y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: For f(x,y)=2(2x2+y3)4: (a) Determine fx(x,y) . Answer: 32 (2x ? +y)²(12x + 2x² + y³) (b) Determine…

A: Given problem :-

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Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v. Simplify your answers completely. u =…

A: Finding the given operations.

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: ∫sin7xcos5x1-sinx21+sinx2dx=∫sin7xcos5xcos2x1+sinx21+sinx2dx=∫sin7xcosxdxLet u=sinx.=∫…

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x + x-4, k= - 1…

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Q: Given the polar coordinates (1, - 4), which of the following would represent the p ㅇ(1, 쫄) O (1, 7)…

A: Given query is to find the equivalent positive angle coordinates.

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: Simplify sec(arcsin ). no solution O (3V5)/5 O (2 V5)/5

A: Solving the problem by finding the value of the expression.

Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.8q+635. The​…

A: Given that the marginal cost for a company to produce q items is given by       MC(q) = 0.004q2 -…

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: Insec2 (sin2y) dy e Which of the following is one of the correct steps to evaluate the sec2y

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Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: 1,0 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite…

A: According to the policy, I am providing the answer of first three subparts. Explanation of the…

Q: the function f(x) = x2 − x2- 6x a. Determine the average rate of change in f(x) on each of the…

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

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Q: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

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Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

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Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

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Q: Consider the following. u = i + 6j, v = 7i - j Find the angle between u and v to the nearest…

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Q: Q3 A symmetrical parabolic segment y = 4x(2 -x) rotates around the x-axis as shown in the figure.…

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Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

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

Q: ep along the shore at a point 1400m from the nearest point?

A: Please refer to the image below

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

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Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

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Q: In a triangle, angle A is opposite side a, angle B is opposite side b, and angle C'is opposite side…

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Q: Evaluate:- 4 dx ④ -VR-4-2sec-1(즉)+c A =/x2 – 4 + sec + C (c) =2/x2 - 4 + sec -/R-4+2sec-1(즉)+c x2. +…

A: Integration

Q: c.) S (4t²-t²+16t)dt/(t²+4) d.) S V1-cos*o de

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Q: Let f(x) = 3x° + 5x² – 43x – 77 be the function graphed here. Click on the graph and expand window…

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Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

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Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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