QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5" %3D

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: ニ。

A: Given query is to find the solution of the differential equation.

Q: Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y…

A: Given; 2x+3y=6

Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: Find V · (V × F) if F(x, y, z) = 2 sin xi+ 8 cos(4.x – 5y)j + 2zk. %3D - V·(V × F) = %3D

A: Given :F(x,y,z)=2 sin xi+8 cos(4x-5y)j+2zkTo find : ∇·(∇×F)

Q: Find the interval of convergence of the series. (x - 4)n Σ 8+ 5n n=0 45 19 <x< 8 -1 < x< 9 -1 sxs9…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin l1…

A: Let's find.

Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

A: Given query is to find the value of b.

Q: 2 X+2| dx -3

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Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

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Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

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

Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

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Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. a = 5 and b…

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Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

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Q: Solve the triangle. 5 B. A (Round to one decimal place as needed.)

A: On solving this we will get

Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

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Q: Solve the triangle. 3. B. 7. As 38.2° (Round to one decimal place as needed.) (Round to one decimal…

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Q: Evaluate the definite Integral. Use a graphing utility to verlfy your result. 48 du

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Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: (3t – 1)66 dt

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Q: Consider the following equations. y f(y) V 25 - g(y) = 0 y = 2 Sketch the region bounded by the…

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Q: C- prove that 1-+-- Find Maclaurin series of tan-(x). Hence

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Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

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Q: X+3 Q4) Find the integration by using: dx 2x3-8X

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Q: Express the series using sigma notation. -6m – 3m + 0 + 3m + 6m ...

A: Given -6m-3m+0+3m+6m...

Q: tan 0 d 30. dO sec² y dy

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Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: Suppose a certain baseball diamond is a square 90 feet on a side. The pitching rubber is located…

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Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

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Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

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Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

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Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

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

Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: mental Theorem of Calculus to fin

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Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Let the region R be the area enclosed by the function f(x)= x³ – 1, the horizontal line y = -4 and…

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