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Q: 1.1 Determine the following derivatives with respect to x 1.1.1 y = cos(sin(cos.x)) 1.1.2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 1. The volume of a sphere is given by V = πr³, where V is the volume and r is the radius. If a…

A: Concept: Sphere volume: The volume of a sphere is the amount of space that a spherical can occupy.…

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: V X if x 3 Find each of the following limits, if they exist. If a limit does not exist, answer…

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Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

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Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

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Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: Scotxde = f COS X sin x -dx

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Q: 1. Find the first 3 terms in the Maclaurin series for the function f(x) = sin2x 2. Find the first 3…

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: Exercises A write the 1st 4 terms 1. >. र 2641 0:4 [(-₁)^(²) 2. 2. I

A: Given that infinite series is

Q: C. Evaluads the Sum 20 [ (₁²+3) ² (

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Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

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Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: B. Write in Signe Notation 1.-244-3 42 50 times 2. 1 + 9 + 25 + 49 +81 ++ /2/ }} + { + } / + 2/ 23…

A: Let's write given series in sigma notation.

Q: Evaluate the integral: 18x² √64 x² - I dx

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Q: Determine the slope of the tangent line to the curve of sin(x + y) = y2cos(x)  at  the point (x,y) =…

A: Topic = Derivative

Q: Q2) Determine using Cauchy Riemann equations the function below is analytic or not? f(2)=x² +…

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Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: Pls help ASAP

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Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

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Q: Please help me with this homework. I am working on (x-5)^2 , (y-3)^2 and (z-1)^2 but said my answer…

A: We need to find (x-5)2 , (y-3)2 and (z-1)2

Q: Evaluate 1₁ 2 t(1 + Int)² dt

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Q: Solve step by step in digital format (2 + x)² − 4 d) lím x-0 X 6x² - 3x + 2 e) lím x-0 4x - 3

A: Given, Evaluate,

Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: Which of the following five series n+1 1 Σ nvn n=1

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Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

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Q: Option 1: Given sec 0 = where <0 < T. Calculate the exact value of sin cos 0 + tan² 0. Show all your…

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Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: how did you get to 3x^2+1 ?

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Q: Q1/ If y" + 2y' F 5y = e-Sint, y(0) = 0, y'(0) = 1 9=41²^² + (2

A: As per bartleby guidelines we only give first question answers.  Let's solve given diffrential…

Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: Find an equation for the hyperbola described. Graph the equation by hand. Foci at (-25,0) and…

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Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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