(c) cos 27 (d) tan

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: complete

A: As per policy only first three questions are answered. Please refer to the image below

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

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Q: 3 csc x cot x dx 3

A: Given query is to find the integral.

Q: Areas

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Q: dx Vx+2

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Q: 2. The Auxiliary Equation : (4D* – 4D' – 23D² +12D+36)y = 0

A: Given: 4D4-4D3-23D2+12D+36y=0 So, 4m4-4m3-23m2+12m+36=0

Q: Vector u is represented by the directed line segment RS and vector v is represented by the directed…

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Q: 3u' = - 3x + 5y Solve the system of differential equations x' 2х + Оy l y' = 3x + 5y - x(0) = 3,…

A: We solve here given differential equations and find the value X(t) and Y(t).     Here i attached the…

Q: 2. 49-x2 dx case 1

A: The solution is given below

Q: लि dx dx 3. case 2 (x + १) १/

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Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: For items 14-16. Solve the following systems of inequalities graphically. x- ys 2 14. x+ys 2 X2 - 2…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: dy Use implicit differentiation to find dx 2x - 3 5y? 2x +3 dy dx

A:

Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

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Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other…

A: Topic:- application of derivatives

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

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Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

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Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot?…

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Q: 4. Evaluate (10** dx. 1000* 10 -10* +C A) +C In10 In10 10 100 B) 10* +C D) 10* +C In1 In10

A: We can find the integration as below.

Q: Find the volume of the solid obtained by rotating about the x-axis and the region bounded between: y…

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Q: Consider the solid of revolution obtained by rotating the region inside x2 + (y – 4)² = 9 about the…

A: Given problem:- | Consider the solid of revolution obtained by rotating the region inside x² + (y -…

Q: If an+1 4n+5 4n +7 Up then the series E an n =1 is divergent Select one: O True O False

A: Given query is to find series converges or diverges.

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: Find the length of the indicated portion of the trajectory. r(t) = (1+2t)i + (1+8t)j + (4 – 4t)k, –…

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Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: The following series is divergent: n5-2 Σ 5n4 n =1 Select one: O True O False

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Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

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Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Find a simplified expression for tan( cos-

A: A detailed solution is given below.

Q: +1)dy/dx+y=lnx If what method of differential equation

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to z2 + y…

A: We have to maximize f(x,y,z)

Q: Find AB. Round your answer to the nearest tenth. A 28 mi 31 C B 15 mi 17 mi 18 mi 23 mi 24 mi

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Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

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Q: १ Ind Sine B/sno=7J85 c)sino=4585 D) sind = S85 %3D 2. Find the lencth o& x. ত্वन्डउन0ी 46.3c84.3…

A: We have to find the solution

Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

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Q: If f(æ) = 8 sin-(*), then f (2) =

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Q: 8.) What is the slope of a tangent line tangent to curve g(x) = v5x -8 at point x= 37 a.) 7 b)V7 d.)…

A: Since you have asked multiple questions, we will solve the first question (i.e., Question-8) for…

Q: df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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