Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18 1' 2'6'24 22 120 an for n21

Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: First take general equation of plane passing through any one point. Then solve for other point . And…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Topic = Integration

Q: Solve for the following application of first order differential equations. Show your solutions. 5. A…

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Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

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Q: 1-cosx The value of limx→ by using series is 0 sinx True False

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given:      y=4sin3x      y=4cos3x     x=0, x=π12 Volume of solid of revolution between curves is…

Q: x 3.

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Q: Solve the differential equation with the appropriate method. Finalize answer free of fractions,…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 2. y = loga(x³ + 2x – 2)

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Q: Use the quotient rule to find the derivative of - 8 sin(r) +9 479 – 10 You do not need to expand out…

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Q: Answer the following True or False. If f(x)dx 0 and f(x) is continuous, then a = b. O True O False

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Q: Consider the expression (3x² + 2/x)10 a) Find a simplified formula for the general term. (separate…

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use the Lagrange Formula to…

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Q: 2t2 + 38 sinh 16t

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (+ 2x³ c) 3x2 + 7x + cos (x)…

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Q: Find f if f(x) = tanh (sin e*). -1 %3D e* Cos e* Cos e* 1- sin? e* | O Option 1 Option 2 e cos e* 1.…

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Q: Find the general solution of the equation and the specific solutions within the given interval…

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Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: Determine the maximum volume of a cylinder that can be inscribed in a sphere with radius of 10cm.…

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Q: What is the amount of material in a hollow cylinder of height 20 cm, given that the sum of the…

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Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

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Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given information:  The x-sectional area of liver is given at interval of 1.5 cm. Note : The figure…

Q: 1 1 dx

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 10, (2, 3) Vf(2, 3) =

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Q: Find the dot product of Á = and B =. Find the scalar product of P = 10î – 4ĵ + 7k and Q = -2î – ĵ+…

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Q: Find an equation of the tangent plane to the surface at the given point. fx, у) %3 х2 - 2ху + у2,…

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Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

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Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: B dy (ayt12) Vyt4

A: Given,            ∫52y+12y+4dy

Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

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Q: 2. y = loga(x³ + 2x – 2) 3. y = In³ (x + sin x) %3D 4. y = tan¬1(3x)

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Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: Use L'Hospital to determine the following limit. Use exact values. In x lim glnz

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Q: 3. * Sx² e** dx 1. pAx (8x? + 4х 1)+с C esx (8x? - 4х + 1) +С 16 16 1. 1. e** (8x2 + 4x - 1) + с 32…

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Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: The value of p for the series En=1n! e¯n by using ratio test is 2 O 8.

A: Ratio Test: Let ∑n=1∞un be a given series such that limn→∞un+1un=ρ Then the series converges iff…

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: We have to find value of given definite integral.

Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: Find the inverse of the matrix of the following [1 8 91 1-A=|0 4 6 Lo o 3] 2 [3 2- A=5 -1 3

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Q: power series representation for x³ s(2²) dæ ° cos (x

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Block A is sliding across a horizontal and frictionless surface when it collides with block B as…

A: We have to find the initial speed of block A.

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.