dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8= 0; (2,8) ... The slope of the curve at (2,8) is (Simplify your answer.)

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A: We have to find linearly independent solution of given differential equation.

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

A:

Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: 5x 8. 10e dx

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Q: A wooden box is to be made of lumber that is in. thick. The inside length is to be 6 ft, the inside…

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Q: 2) Zy? + X :0 + x -1 :0

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Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

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Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: х3-х-1 4. S (х-1)(x?-х)

A: To evaluate the given integral.∫x3-x-1x-1x2-x dx

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Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

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Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Find the area of the shaded region. The y=- Consider c=64. Enter the exact answer. ver. Area

A: To solve the following problem

Q: V

A: Follow the procedure given below.

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: According to bartleby guidelines I can only answer the first three subquestions. Please repost the…

Q: (x² + 6)cotx 3 – cosxcscx Find f'(x) when f(x) 6cotx – 3(x² + 6)csc²x + 2xcot?x f'(x) = (3 – cotx)?…

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Q: cosh? Vx dx 4-) a csch vx vx csch vx

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

A:

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863<0 and f(2)=0.6863>0  ∴ Now, Root…

Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

A:

Q: The discrete exponential function is unrealistic and cannot happen in real life. True B False

A: Options (b) false is correct option. Because, Exponential function are realistic bcz exponential…

Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: 2. Evaluate each limit, if it exists. Show all reasoning. 2-Vx-3 4+x a) lim エーキー4 b) lim c) lim l X…

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Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: 1. /(x)=-4x-6 Slope: 1. f(x) - 5x - 4 y-int: Graph: Slope: y-int: Graph:

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Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: 2 Evaluate the foltawing cartesian integrats by changing them inte equivalent Pelarintegrals: 2. 4-…

A: in polar coordinate x=r cosθy=r sinθ

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

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Q: Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

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Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

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Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

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Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: Find the radius and interval of convergence, R, of the series. En-1 2n

A: For radius of convergence we have to findlimn→∞an+1an&lt;1  in the form of x&lt;RAnd radius of…

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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