Prove the identity. sin x 1+ cos x 1- cos x sin x

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

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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

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Q: 2x-y if F(x, y) = xy é e af ар ay ах find

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the limit, if it exists. lim (---)

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: . DO NOT SIMPLIFY YOUR ANSWERS. - 1. log₂ 19²( √/2x² + y) + tan(x² − x²) = sin^¹(x² − 1) + ² Find d

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Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series where Sk is the partial…

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Q: Integrating Factor by Inspection: 3. xdyydx = 3x²(x² + y²)dx

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Q: Solve the following differential equations of d²y_2dy + y = 2x dx² dx

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

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Q: 3. lim x 3 (x-3) tan(9-x²) sin (2x-6)

A: Explanation of the answer is as follows

Q: fx-²dx

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 5 y = 16 where is the horizontal…

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Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: Write the Taylor series for f(x) = xº about x = −4 as Σ Cn (x + 4)". n=0 Find the first five…

A: The given function is  f(x)=x3 about x=-4.

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

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Q: Find all values of a where the given series converges. Answer: Note: Give your answer in interval…

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Q: Write the Taylor series for f(x) = eª about x = 1 as Σcn(x − 1)". - n=0 Find the first five…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 P5(x) =

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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 the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 60z…

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Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

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

Q: Use the formula ‹(t) = = 198 t7 k(t) : (4+121 +¹8) ²³/ = ||r' (t) x r"(t)|| r(t) = t²i+t¹¹j X to…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √(x + 3y²) dy

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: Sketch a graph of f(x) 5 -5 = 4 3 -2 -1 12 1 -4 -3 3 Clear All Draw: Note: Be sure to include closed…

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Q: Consider the series (4x)n n n=1 Find the interval of convergence of this power series by first using…

A: Given problem:-

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

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Q: A table of values of an increasing function fis shown. X 10 14 18 22 26 30 f(x) -11 -5 -2 1 5 Use…

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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

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Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

Q: d³y_d²y_dy + y = 0 dx³ dx² dx

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Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

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Q: I sold something on ebay and I go to the UPS store to ship the package. The cost for the box is $3,…

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

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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: Verify Green's Theorem by evaluating both integrals ON [ v² dx + x² oy - [√(x 0 ) A dy = dA JR əx ду…

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Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: Write an equation for the polynomial graphed below y(x) = N w 2 N

A: Here X intercept of the polynomial is x=-2, x=-1, x=1,x=3 and graph just touch x axis at x=1 and…

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: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

Q: Identify and choose the appropriate quadric surface. Figure 1. Figure 2. Figure 4. Hyperboloid of…

A: Given that the quadratic surface      x2+(y2/16)+(z2/64) = 1

Q: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

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