Use implicit differentiation to find dy /dx. Then find the slope of the curve at the given point. 7xy- 6x + y = 13, -2, 13 dy dx The slope of the curve at -2, is 13

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

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Q: 9. The normal line to the curve y = x at (1, 1) intersects the curve at another point Q. What is the...

A: Given problem:- The normal line to the curve y = x2 at(1, 1) intersects the curve at another point Q...

Q: Obtain the particular solution satisfying the initial conditions indicated. 1. e* (3x°y-x)dx+e" dy =...

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

Q: Evaluate the following integrals: S sin 'xcos x dx 1.

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Q: For the given cost funchon CO) = 72900+e 0OX +x2 finad: the produchon level that will haininize the ...

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Q: 1) Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top...

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Q: 5 cos 3x2-5 lim x+0 2 sin 8.x

A: Follow the procedure given below.

Q: omework. Find Sup, Inf , Max, Min of the following subsets of R: S4 = {x € Q : x? < 2}.

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Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

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Q: Find the area of the triangle with vertices P(1, 5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exa...

A: As we know that; The expression for area of the triangle △PQR in vector form is: A=12PQ→×PR→   The g...

Q: 7- 2t 2. 1.

A: This is a problem of differentiation. Based on the general formual we will answer the question.

Q: Consider the points A(3, –2, 3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). (a) Find the volume of ...

A: Gven points,A3, -2, 3B4, -4, 1C-2, -3, 1D5, 3, -4

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: 1. Integrating factors found by inspection: (xy’ +xy dx +(xʻy² – 2 kdy = 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: drones

A: We will find the rate of change of hypotenuse. 

Q: Find the surface area generated by rotating x=4*sqrt(t), y= ((t^3)/3)+(1/2t^2), 1<=t<=3 around the x...

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Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

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Q: What is the x-coordinate of the critical point of the function y = (x + 2)^1/3.

A: Given function is y=(x+2)1/3

Q: What is the Direction vector for the line with Cartesian equation 3x + 2y-1= 0

A: Any line in two-dimensional Euclidean space can be described as the set of solutions to an equation ...

Q: 2 sin x V1 + cos x dx

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.   x2+x...

Q: A. Evaluate the following integrals: f cos“ xdx 2.

A: Solve the integral using Trigonometric identity. 

Q: 2. Determination of integrating factors: 2y(x² – y + x kdx + (x² – 2y kdy = 0

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Q: x², dx e x3

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Q: Given vector u = (3, 1) and v (1,3) , determine the value of 2u – 3v in component form.

A: Use component wise addition and multiplication for required answer. 

Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3, -1...

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: Consider the parallelepiped with adjacent edges u = 6i + 5j + k v = i+j+ 6k w =i+ 3j+ 6k Find the vo...

A: Given the adjacent edges of the parallelopiped are u = 6i + 5j + k v = i + j + 6k w = i + 3j + 6k

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: By using the fact that the volume of a tetrahedron with adjacent edges given by the vector u,vand w ...

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: We can solve this as follows:

Q: If x³ + y° – x1ºy12 = 1, find dz in terms of a and y. dy dy dz Using your answer for , fill the foll...

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Q: 1. e (3xy-x)dx+e dy 0; when x = 0, y = -1 4 Ans. y =--e* 3 3

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Q: Consider the series > an where n=1 (бп + 3)(-10)" an = 137+3 blem you must attempt to use the Ratio ...

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Q: wing series is convergent or divergent using the appropriate test cos 3n (g) 1+ (1.2)" n=1 (h) (1+ 2...

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Q: 4n+1+3" Consider the sequence an = 4" (a) Is the sequence monotonic or non-monotonic? If it is monot...

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Q: 4. x(x² +y³}°(ydx = xdy) + y°dy =0 Ans. (x +y') = 6y°ʻ In

A: As per our guidelines we can help you in solving only first problem. Rest of the problems, you have ...

Q: S(e* + 1)² dx

A: Solving the problem by finding the integration.

Q: 9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].

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Q: 3. Consider the function f(r, y) = 'y - 4y at the point P(2,-1). (a) Find the directional derivative...

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Q: Suppose that the Celsius temperature at the point (x,y,z) on the sphere x +y +z =1 is T= 1600xyz“. L...

A: This is a problem related to maxima and minima. Based on the general formula we will answer the ques...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Given the curve: y = 4cos3x - 3cosx, find the following values of x (from 0 to 2pi radians) when y i...

A: Given curve: y=4cos3x-3cosx To find: The values of x when y is maximum and minimum i.e. critical poi...

Q: Question 4 Find the points on the curve y = tan æ, where the 2 2 tangent is parallel to the line y 7...

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your answe...

A: We will find the distance between parallel planes. 

Q: differentiate y = (x2 -4) 1/2  / (x)2 + (1/2)[Arcsec(x/2)].

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Q: r3/4 5. Solve for x: 32t dt = t3 dt. 1/3 e

A: To solve for x: ∫ex32t dt=∫1334t3 dt

Q: I. Solve for the derivative of the functions using chain rule. Box your fina answer. 3 1. f(x) = (;r...

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Q: 3. S (xº – + 2ex) dx

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