3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

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Q: Let f(x) be the function 5x² - 7x + 6. Then the quotient f(5+h)-f(5) h can be simplified to ah + b…

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Q: A box with a square base and open top must have a volume of 108000 cm³. We wish to find the…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

A: We have to calculate the volume.

Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: 3 A box with a square base and open top must have a volum of 108000 cm³. We wish to find the…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

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Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: 7-10 Verify the given linea determine the values of x for accurate to within 0.1. 7. √√/1 + 2x 1 + x

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Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

Q: Solve the linear system of equations. 2x+v+6=-1 5x+y-3=14 7x-5y+2= = 7

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: Sỗ ſcos ur sin u dr du 0 0

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Q: 3. A 72 N force acting in the direction of vector (2, -1, -2) moves an object from P(3, 4, 2) to…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: 2y V. Consider the lines : x + 1 5 = = 2z - 6 and m: x = −1+10t, y = 7t, z = 2 + t. 7 1. Determine…

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

Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: solution

Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: Which of the following is an example of a series such that Σa converges but Σ|a|diverges? Α.Σ." 3 n…

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Q: c) L-1, 4s² - 21s+ 30 (s² - 6s+13) (s – 4) -

A: Above question is solved.

Q: Show that any subset of bounded set is bounded

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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Q: Differentiate the function with respect to the independent variable. x f(x) = 4x cos+ + cos f'(x) =…

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Q: X xp zo-zXI

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Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: 2dx 3 X - - 2 X

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Q: Using the definition, find the derivative of function 2z-i 1 (z)= at the point z = = -¡. z + 2i

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Q: Taika invested a total of $ (a+b+c+ 900) × 1,000 into three investment accounts, paying 3%,4%, and…

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Q: z, 1 + 9 + 25 + 49 +81 + ... + /2/

A: Topic = Algebra

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: a b 3. Write the scalar equation of the plane with normal vector = [5,-1,-2] and passing through the…

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: * The following matrix is a 100 020 0 004 identity matrix O skew symmetric matrix O none of these O…

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Q: If you apply the direct comparison test to assess convergence of 1 - to which of these series would…

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: Let's solve.

Q: Find the arc length of the curve on the given interval x (0) = 0³, y (0) = 0² ; 0 ≤ 0 ≤ 2

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Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

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Q: Find the critical values (if any) of the given functions. With solution please.

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Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: 1) Find the equation of the tangent line and normal line to the graph of the function y=x√√x-1 at…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

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