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Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

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

Q: Write the equation of the ellipse 16x? + 9y? + 160x – 90y + 481 = 0 in standard form %3D (æ – h)? (y...

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

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions y(...

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Q: xtnx Sx²lnx dx

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measure...

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: The forward motion of a SpaceX Dragon, i seconds after touchdown, is described by s(t) = 198 – ti, w...

A: According to question,Given information,The forward motion of a SpaceXDragon, t seconds after touchd...

Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xy...

A: Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1...

Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

Q: dy Find for the following function. dx y = 9 cos x sin x %3D dx II

A: Given y = 9 cosx sinx  Find dy / dx = ?   

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

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Q: |e2 sin²(e2«) cos(e24) dx. we let u =e2* To evaluate А) True B False

A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du            =1...

Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ    

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: . In (3xy) %3D х+ x5

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 1. cos? 2t dt

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Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: Write the following in the "if" and "then" form 1. Eighteen-year-olds are eligible to drive. 2. A r...

A: If and then statement

Q: For a given function f, what does f' represent? Choose the correct answer below. O A. f is the avera...

A: Solution: Given data, f is a function f' represents??  

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: 2 y = x - 3x, y=x 3r.

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Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

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Q: {n(-1)"+2}ñ=o 2200 n=0

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Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1 ∫c...

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

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Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: 21. |'t cosh t dt Jo

A: Note:- These are multiple question and according to our company guideline we can do maximum one ques...

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: f(x) : x?

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Q: Find the area of the region between the curves

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Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: Evaluate the iterated integral.   6   2   x 2ye−x dy dx   1

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Q: Identify the vertices and foci of the hyperbola with equation x2 = 1 92 402 The vertices are The foc...

A: We will find the vertices and foci. 

Q: (In x)²dx

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

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2),...

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

Q: Find the first derivative of 2cos(2 + x³). a. -6x² sin(2 + x³) b. -x² (sin 2 + x³) c. -6x² (cos ...

A: daf(x)dx=adf(x)dx ; where , 'a' is constant. dcos (ax)dx =-a.sin(ax) dxndx=n.xn-1 . 

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric...

A: The solution is given in the next step.