12. y = 3t 1+t³ X= 3t² 1+t³

Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

A: I am attaching image so that you understand each and every step.

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Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

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Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

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Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

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Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

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A: According to bartleby guidelines when student post more than one question then expert must have to…

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A: To solve the given integral

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Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

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Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

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A: here right angle triangle is given  so here we apply sine rule to find the R   sinA = opposite…

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A: We have to find the slopes-intercept form of the plane.

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Q: 5. Consider the region bounded by y = x² - 4x+5 and y = 2. The region is revolved about the vertical…

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Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

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Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…

A: simple integration are ...

Q: Simplify sin(4x) + sin(2x) cos(4x) + cos(2x) to an expression involving a single trigonometric…

A: SOLUTION-

Q: 6) If nP3 = 2 nC4 then nC6 = A. 1716 B. 3003 noituloa s ni fluash blud C. 5005 D. 8008

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Q: Write z₁ and 2₂ in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = √3+1, Z₂ = 1 + √√√3i Z1 =…

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Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

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Q: a 0 1 2 3 لیا 4 5 6 b -10 -2 6 14

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Q: Using double integral, the area of the region bounded by the lines y=x y=x/2 and y=2 equal :

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Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

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Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

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A: We have to find the solution of the given differential equation

Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)

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Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Test the series for convergence O a. the series diverges O b. the series converges ∞ 3k k-1!

A: We need to evaluate the convergence of the series :

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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