.Determine the equation of an ellipse that satisfies the following properties:  - the center point at the point (0,1)  - the focus is on the Y-axis  - through the points (0,5) and (3,1)

Q: Find tan a dr.

A: Given query is to find value of the integral.

Q: Evaluate the integral. (Re du |u3- u?

A: Solution is written in below steps.

Q: Find a 2×2 matrix A such that [0                    [-3 1]       and        -2] are eigenvectors ...

A: On solving this we will get-:

Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: Let's find. 

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c....

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

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A: This is a problem related to the trigonometric integral calculus. Based on the general fundamental t...

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Q: Find all the real zeros of the polynomial P(x) = x' + x² - 3x + 1. Its real zeros are x¡ = -1 , X2 =...

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Q: Express the following degrees to radian measure. 1) 75 2) 240 3) 340 4) 620

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Q: Evaluate " edx B. 3 A. 1 C. 2 D. 4

A: To Compute :  ∫0∞e-13xdx

Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: Evaluate A. 1 B. 3 C. 2 D. 4

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Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: Richard's Rocks sells decorative landscape rocks in bulk quantities. For quantities up to and includ...

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Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

Q: An object of mass 10 kg is released from rest 1000 m above the ground and allowed to fall under the ...

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Q: ds V9-s 9-52 + C 95 9s + C A. C. B. D. + C 95 69/

A: Given: I=∫dss29-s2   ...1   We know that, the trigonometric identities. 1). 1sinx=cscx 2). sin2x+cos...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: We will draw the vector and will compute required vectors as follows 

Q: r(x)=(6−x)3 Step 1 of 2 :   Determine the more basic function that has been shifted, reflected, str...

A: Solved below

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Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С. ...

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Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole wi...

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks awa...

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

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Q: If $1500 is invested in an account at an interest rate of 2.0% per year, find the amount of the inve...

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Q: 1 1B= (1 – i)10 + 40eš", and 1+ 1+i If A = 1+ C = log [2 + In(3 + 4i)] Solve for A + B + C. Reduce y...

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Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (n 2)/4 c....

A: Note:- Final answer is not match from any option i am providing you solution. please check it

Q: Find all the eigenvalues (real and complex) of the matrix A= [1   2]      [-3  -1]

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Q: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =...

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below 

Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

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Q: Find all the real zeros of the polynomial P(x) = x +x - 3x + 1. -1 Its real zeros are x¡ = , X2 = an...

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Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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Q: A circular plate of 9m radius is submerged vertically in a tank of water so that its top is 4m to th...

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Q: Set up, but do not evaluate, an integral for the length of the curve. y = x – 9 In(x), 1sxs 4 dx

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: The given sequence,       14,-45,96,-167,258,......

Q: Evaluate S Vx+1 dx (1 + } -(1 + i (1-5 D. - (1-5)i A. + C C. + C B. + C + C

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Q: f (x) | f'(x) g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 1 -1 3 10 11

A: Let's find. 

Q: С.) 8.3° D.) -345°

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Q: 0. dæ x2 + 4x + 13

A: solution:∫dxx2+4x+13∫dxx2+4x+4-4+13∫dxx+22+9∫dxx+22+32