2. a. arctan(-1) b. tanV3 C. tan-

Q: 3. Find dy using implicit differentiation given that dr sec r – log(r? + y²) = e* + cot(ry).

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Q: 5. Solve the following Inhomogeneous Differential Equation 1 y" + +y = x² – 2x 4

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A: We will solve the differential equation. 

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A: Explained below 

Q: 3x² – 7x + 9 at a = –1

A: Find first derivative that is the slope of curve at given point.

Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: 17. log (x² + 3) - log(x + 6)

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: 1. x* 2х at a — 2 |

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Q: The derivative of a continuous function f is given by In your notes, create an interval table then d...

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Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3), P2(5,...

A: We can solve the given problem as follows:

Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: Consider the following. u = (5, 9), v = (2, 4) (a) Find the projection of u onto v. 38 38 5' 10 (b) ...

A: We have to solve given Questions.

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Q: dx – log(x² + y²) = eª + cot(xy). sec x

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Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hou...

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Q: txH Find Maty min Satle ex

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Q: The quantity of a drug in the bloodstream t hours after a tablet is swallowed is given, in mg, by q(...

A: Given:  a)     The quantity of a drug in the bloodstream t hours after tablet is swallowed is given ...

Q: Problem 3: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve = 2 - 4x....

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Q: Determine a, for the periodic function f(t)= 2t, 0<t<2n, f(t+2n)=f(t)

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Q: Question 12 Suppose that k is a real constant such that all the tangents to the curve y = In(x2 + 1)...

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask th...

Q: Find the centroid of each of the given plane region bounded by the following curves: y = x³,y = 4x [...

A: follow the procedure given below.

Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: (b) Sketch the vector with its initial point at the origin. sider the following graph. (4, 4) (4, 4)...

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1, y...

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity, ...

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Q: Find C so that the line y = 4x + 3 is tangent to the curve y x2 + C.

A: The given equations are y=4x+3 y=x2+c. 

Q: Log(x^2 +3) = log(x+6)

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Q: If we want to evaluate the integral x+18 1= +64 dx, and dx = do and therefore the integral becomes, ...

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Q: Question 10 Compute y for y=(tanx)**+1 sec?x y = (tanx)**+1 2xin(tanx) + (x² + 1) tanx %3D sec?x y =...

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Q: In your notes, create an interval table for f(x) = x* - 8x? by testing values around the critical va...

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Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. %3D (a) u x v (b) (c) V X V

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Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

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Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

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A: We are asked to find which vector is parallel to z

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A: For given sequence we have to check its convergence first we have to check    limn -&gt; ♾ | (-1)n s...

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

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