Prove the identity. sin 2, x = 1- cos x 1 + cos x Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Select the Rule X Statement Rule sin 2x 1 + cos x Validate Select Rule O Algebra O Reciprocal Quotient O Pythagorean O Odd/Even O Evaluation Sum and Differenco Ⓡ

Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

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Q: Find R and the Interval of Convergence o (-1)" (x)" 272

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Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. log₁ (x+3) lim x →1 -1 1-cosh…

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Q: Given: function f(x) with dom f = R \ {-1} lim f(x) = 00, lim f(x) =+ ∞, lim [f(x)-(1- x)] = 0, x→-1…

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Q: h₂ = = 3.75 sin(736t) + 7.5 and h₂ = 3.75 sin(736(t + 4))+ +7.5

A: answer of given question is in next step

Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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Q: 7. Do as indicated. 1 1. Let f(x)= = Find the equation of the tangent line to the graph of f'(x) at…

A: This question is related to straight lines, we will solve it using given information.

Q: Find all Max., Min., Saddle point for the functions. below: f(x,y) = x²y²-2x9 +6

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Q: d d. Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating dt the product directly…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Cheyenne, Wyoming, has a latitude of 41° N. At this latitude, the number of hours of daylight D can…

A: Given :  D = 2.914 sin(0.017t 1.321) + 12.134

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: ☎ Q1: If x=² and y=21³ then b) 3 314 ² dx d) at x=4 F others Choose

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Q: Use Newton's Method to approximate the zero(s) of the function. Contine Rx)-x+2.7x² +3.55x-2.422…

A: answer is in next step

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: Q: Evaluat the integral. Q₁ is's ex dxdy 3y +²

A: Here we have to find the integral.

Q: 1) fx-²dx 2) sin(n)dx

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Q: For the function f(x) shown below, determine lim lim f(x). x→ x² - 9 for x > -3 f(x) = { -5x - 9 for…

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Q: 6- Write four examples about sketch the graph in polar coordinates from families of cardiod and…

A: Let's find.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

A: To find out the volume of revolution.

Q: SCALCET9 11.5.006. Test the series for convergence or divergence using the Alternating Series Test.…

A: Use alternating series test to check the convergence of series

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: D4 − 1)y = 0 -

A: Topic:- solution of differential equations

Q: Solve the given differential equation. All solutions should be found. dy_x³_8y x5 - 8y dx X NOTE:…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ 0 ≤ 7. Order your answers from…

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co C₁= C2= C3=…

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Q: nto v. t of u orthogonal to v.

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Q: S [[x+1]], Determine iF f(x) = if x ≤ -1 2 tanh (H), ip-IxO (x+1), < <) In [cash (x+1) + sinh…

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Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: Watch help video Answer all of the questions below about the function f(x) graphed below when x =…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x 3x lim x-2- (-²-2- -3X=42) x -…

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Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x-3) tan(9-x²) 3. lim x-3…

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Q: enclosed by the Curve Find the area X = 2y² and x = 8

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Domain -3 ≤ x ≤ 8 -5 ≤ x ≤ 5 -7 ≤…

A: We can find the domain of the equation as below.

Q: 3 answers. cas (x² + 2) = x - 240 cashy X ५१ where x>0 cot 1(3) 3 1. COS S = Cea

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Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: Integrating Factor by Inspection: 1. (2y3x)dx + xdy = 0

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Q: (measured counter- 1. A circle with radius 2 is centered at the origin (0,0). For an angle clockwise…

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Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. 0.5- के 2…

A: Solved below

Q: 31. (a) 32. (a) 33. (a) 12x-1| dx √2 + x) dx e* - 1| dx L'i lex -3π/4 (b) cos x dx (b) [*/² | } −…

A: Given: ∫-11ex-1dx

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: Replace the polar equation r = 5 csc 0 with an equivalent Cartesian equation. Then identify the…

A: The given polar form of the equation is: r=5 csc θ

Q: (D²4)y= 8e²x - 12

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Q: Use the graphing guidelines to make a complete graph of f. f(x) = -x³-9x² +1296x-3780

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