dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mx + b format y =

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: Explained below

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A: To evaluate the following integral

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Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: b. (2,1)

A:

Q: 2 dx х3.4 а. x2.2

A: ∫1x2.2-2x3.4dx∫x-2.2dx-2∫x-3.4dxFormula: ∫xndx=xn+1n+1+C

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A:

Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

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Q: , Suppose f (x, y) = 4, P = (3,2) and v = 3i – 2j. - A. Find the gradient of f. (Vf)(x, y) : i+ j No...

A: As per the company guidelines we can solve first three parts . I hope that the given solution will h...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

A:

Q: 1 у? sin y 2)lim y→∞ y + /2y3 –1

A: We can find the limit as below.

Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

A:

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...

Q: 2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

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Q: INTEGRATE THE FOLLOWING (use integration techniques) 1. f sin xsin4xdx

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Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: sin x 16 y = e* + cos x solves y' = cOs x + y

A: we have to verify the solution.

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is (2y/x)+Iny=c (2x/y)+3ln...

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Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

A:

Q: 29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x -1 on the interval [-3, 1]. If R...

A: We will use that 

Q: To evaluate the integral / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0...

A:

Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: n=0 n!

A: This is series problem

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Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Gi...

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Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

A:

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

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Q: Give some examples of limits in real life situation (preferably in a persons life)

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Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.