integrate cos(x)^2-sin(x)^2 from 0 to pi/4

Q: x = 5y2,  x = 2 + 3y2  Find area of region

A: Question :x = 5y2, x = 2 + 3y2 Find area of region

Q: I still have a third part of my question I don't understand. I get the first two parts. I try to…

A: Yes you just need to do regular integration to get exact solution.

Q: The figure below shows the total number P(t) of Covid-19 cases in Minnesota¹ confirmed up to day t,…

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Q: Draw the angle -120 degrees

A: NOTE: Refresh your page if you can't see any equations. . here negative sign indicates the…

Q: Find a vector a with representation given by the directed line segment AB. A(0, 2, 1), B(3, 2, -1)…

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Q: 25. A spherical balloon is expanding, its radius increasing by 0.5 cm per minute. Find the rate at…

A: (25)  given radius increasing rate is 0.5 cm per minutegiven radius=40 cm A=4πr2we know drndr=nrn-1

Q: Problem 5. Let F(t) = ⒸA. (0,0,0) C. B. Does not exist OD. (0, 1, -3) 1³ +1 1+1 E. (3, 1, -3) i+…

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Q: y tan x 1 + cos x

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Q: The amount of a substance remaining (in grams) is given by the function P (t) = 1.9(.89)^t/2 where…

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Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for π.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the radius…

Q: 2.1) [.. 0 X (x² + 2)² dx; 2.2) So 1 x¹/2 d.x

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: Which of the functions I-III meet each of the following descriptions? There may be more than one…

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Q: The cost of producing x items of a product is given by C(x) = (0.8x + 60)(0.8x +30) - 700. Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is

Q: Problem: Consider the function f(x) = x² - x + 1. a) Use the limit definition of the derivative to…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: pls help thx

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Q: Consider the following. 23 xy²z³ = 80, (5, 4, 1) (a) Find an equation of the tangent plane to the…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The passage of the Social Security Amendments of 1965 resulted in the creation of the Medicare and…

A: Given function P( t ) = 28.58 - 5.28lnt

Q: Use logarithmic differentiation to determine y' for the equation y = (x + 6)(x + 4)(x + 9)(x + 2).…

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Q: Estimating Slope In Exercises 9 and slope of the line.

A: here we have to find the slope of the line.

Q: Suppose that f(p) = 400(60 − p) is the demand for an item at price p (in dollars) with p < 60. Find…

A: given  f(p)=400(60-p)we know formula is E(p)=p×f'(p)f(p)

Q: Solve the following: 1. y'=√x+y+I 2. 2xy + y³e-2 = 2xy. (Bernoulli) 3. (x-y)y' = x+y, y(1) = 1. 4.…

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Q: Find the equation of the tangent & normal line to the graph of y = √x-1 at the point (3,2). Con

A: To find the equation of tangent line

Q: In using the technique of integration by parts, you must carefully choose which expression is u. For…

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Q: tegral of 1/(x^2+4x+13)^2

A: Given: ∫1x2+4x+132dx

Q: Exercise: Graphing a Function with a Horizontal Shift PDF Transcript for Exercise: Graphing a…

A: 21. The given function is: rx=x-42 To graph the given function.

Q: 12. A car is moving at a constant rate of 70 mph. (a) write a change equation for the car. State…

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Q: Assume that B is a Boolean algebra with operations + and. Prove the following statement. De Morgan's…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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Q: inverse Laplace Trans Y(s) = = = 75+ 3-45 - 3-25 S² +49

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Q: (x + y −6)dx + (x − y + 4)dy = 0.

A: Given differential equation is (x+y-6)dx+(x-y+4)dy=0

Q: C³ brain mass of a human fetus during a particular trimester can be accurately estimated from the…

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Q: Find the solution x dy dx +y. y = y(x) of y² (x) ³/2 subject to y(1) = 1. =0

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Q: Part 2: Proof that P(A) n P(B) CP(An B). To prove part 2, select options from the list and put them…

A: To show that p(A)∩p(B)⊆p(A∩B)

Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function 4…

A: Here we have to find the rate of change in the volume.

Q: y = x cos ¹x

A: Given: y=xcos-1x To find: y'

Q: Tangent line Find the equation of the tangent line to the curve that is parallel to the line y =…

A: Given data : Tangent lineFind the equation of the tangent line to the curvef(x) = 2/7 x^3√x-xthat is…

Q: Find the derivative for the given function. Write your answer using positive and negative exponents…

A: A detailed solution is given below.

Q: Determine the derivative of the function g(x) = (Inx) ¹⁹. Answer g'(x): ||

A: Determine the derivative of g(x)=(lnx)^19

Q: 4. By method of undetermined coefficients, solve: y(4) - y(3) - y" - y - 2y = 8x³.

A: We have to solve differential equation y(4)-y(3)-y''-y'-2y=8x5by undertermined coefficients

Q: 61. Find an equation for the plane consisting of all points that a equidistant from the points (1,…

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Q: QUESTION 4 The equation (sin) y" - (cos) y'=2 is a linear equation. O True False

A: We can solve this as follows:

Q: f(x) = at a = 1 x-1 1 if x # 1 if x = 1

A: A detailed solution is given below.

Q: A 1. Determine u XV and u XV for each pair of vectors. a) b) || = 88 (d) 60° |μ| : =93 |=75 = 115…

A: As we know that u×v=uvsinθ  where θ is angle between the vector u and v   see below the answer and…

Q: Integrate: s 2 x2 + 6x + 13 -dx + C

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Q: Question 2 Consider the two integrals below. 2) 1.0²0 8 b) S₁ x 1+ 4 Evaluate: da √9x - 3 dr…

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Q: y= 5x-x^2 y=2x Find area

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Q: a) A, B, C & D investors have invested in a business in a ratio of 5:3:4:6. Total investment is…

A: Note:- SInce you asked multiple question ,as per our policy we can solve first question for you so…

Q: An isotope of sodium, 24Na, has a half-life of 15 hours. A sample of this isotope has mass 8 g.

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…