Find sin 2x, cos 2x, and tan 2x if sin x= sin 2x = cos 2x = = tan 2x 010 X 1 and x terminates in quadrant I. 0/0 S 10 ?

Q: * Using trigonometric substitution to evaluate: find dx √ dx, √2x²-4x-7 (3√2)/2 cosø dø O (3√2)/2…

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Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: Evaluate fff (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: ∫∫∫(3x + 2y) dV=∫∫∫(3x + 2y) dxdydz = ∫z = 04∫y = -13∫x =-11(3x + 2y) dxdydz = ∫z = 04∫y = -134y…

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Q: A county's statistics indicate that the number of white-collar crimes is growing according to the…

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Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L || r(t) = √²ti + e-√²tj + 2tk,…

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

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Q: Solve the solution: (D2 - D - 2)y= cos x

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: To find  after completing the square  what will be the obtained polynomial.

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

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Q: Let m(x) be the slope of the tangent line to the curve y=x² x³ 2x² + x at the point (x, y). Find the…

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Q: Select the choice that makes each statement true. x²+x-6 X-2 [Select] x +3 x²+x-6 lim X-2 X-2…

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Q: Evaluate [² (2x − y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: C:x- axis:y=0dy=00≤x≤3=∫03(2x-0) dx +(x+0) 0=∫032x dx

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 ti + t²idt = 0

A: To evaluate: ∫012t i+t2jdt

Q: Solve for the solution: (4D3-13D+6)y=0

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Q: Change from rectangular to spherical coordinates. (a) (4, 4, 0) (p, 0₁ g) = (b) (12, -4√3, 8) (p, 0,…

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x-y'dy=0 is

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Q: Suppose that z = x³y², where both x and y are changing with time. At a certain instant when x = 2…

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Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: (y² +1)dx +(2xy+1)dy

A: (y2+1)dx+(2xy+1)dy=0  It is of the form Mdx+Ndy=0whereM=y2+1N=2xy+1Then ∂M∂y=2y       ∂N∂x=2ysince…

Q: xy³ dx + ex²dy = 0 x = 0; y = 1

A: The given differential equation is xy3 dx + ex2 dy =0,     x=0: y=1 we solve the differential…

Q: The function f(x) is described by the graph below. 6 2- -1- -7 -6 -5 -4 -8 -2 -1 0 4 5 6 -1- -2- -3-…

A: Draw the tangent to the curve at x=1.5 & x=2 as shown:

Q: Verify the formula [F F.nds = = IC div F dV in the Divergence Theorem by evaluating the surface…

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Q: Jinny and Bing You has a total of 172 dollars. After Bing You spent 1/4 of his money and Jinny spent…

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Q: Find y = f(x) given d²y dx² = 5x² + 2

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Q: dx 1+√x-2

A: We have to solve  ∫dx1 + x-23.

Q: Describe the graph of the equation. r = − 17i + tj + (t²-1) k It is a parabola in the x = It is a…

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Q: Activity 3. Problem Solving. Solve the problem. Show and illustrate your solution. The ladder 7.5…

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Q: 1. x²y + 2xy - 5y³ = 0

A: As per bartleby guidelines we only give first question answers.

Q: Suppose a "Gip" is a unit of angle measure such that an angle making a full rotation measures 11…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 4. S dx x+√2x+1

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Q: Find sin 2x, cos 2x, and tan 2x if cos x = sin 2x = cos 2x = tan 2x = 0 X 3 and x terminates in…

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Q: Calculate[ri(t) r₂(t)] and[r(t) x r₂(t)] first by differentiating the product directly and then by…

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Q: Given: xe*² + In(x - y) = . Find dy/dx. 2xy(x-1 dy dx 20g/l) ta [1+(v)(22+1} ] x4+x²(x−y) Ody dx…

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Q: S CHO dx 13-x

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Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

A: Given query is to find the limit of the expression.

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤t≤ 1. √(x + 3y²) dy…

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Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

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Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

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Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: Find the absolute extrema of f on [-2, 3] if f(x) = x² - 6x - 1 O √5 O 2

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Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

A: This is a problem related to vector calculus. based on the general formula of green's theorem we…

Q: Compute the flux of the vector field F(x, y, z) = 3x + 3yk through the surface S, where S is the…

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Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ -…

A: Here we have to use the concept of derivatives

Q: 3x²y' = x(5-6y) x = 1; y = 2

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Q: Find the arc length L of the graph of r(t). 1 r(t) = t³ i + t j + = √√61² k, L = i I 2≤1≤7

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Q: 1. ff(x) dx + f(x) dx = 2. f f(x)dx - f₁² f(x) dx = 3. ff(x) dx + f₂f(x) dx =

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Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

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