dz az %3D Jsing separation of variables method, solve "+ = (x+ y)z ду

Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph illust...

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Q: I. Define the function [In(r+ 1)] cosh r + tanr ,r20 (sinh r) sec- (r – 2) S(x) = ,z <0 1. Show that...

A: As per bartleby guidelines we only give first question answers. 

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

A: I am attaching image so that you understand each and every step.

Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x =0 and x ...

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Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: X Your answer is incorrect. Use the fact that the volume of a tetrahedron with adjacent edges given ...

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Q: Solve the difTerential equation. Write your answer in the form F(y)=G(y) do not attempt to sole for ...

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Q: (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) (-10, o0)...

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: topic - area of parallelogram using vectors

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, ...

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Q: Evaluate: S (In(2æ – 1) – (5) + 25 ) dx - Limits: [1, 6] Using Trapezoidal, n = 30

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Q: 3x-28х+49 Зx-7х a. Simplify : i) ii) /x'y . /xy. Write the answer in radical form. b. Solve the equa...

A: i)=3x2-28x+493x2-7x=3x2-7x-21x+493x2-7x=(x-7)(3x-7)3x2-7x=(x-7)(3x-7)x(3x-7)=x-7xor=1-7x

Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

Q: Consider the initial value problem dy = e y, dæ y(2) = 0. Which of the following is a solution to th...

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: Example 2: Find the parametric and symmetric equations of the line through the points (1, 2, 0) and ...

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Q: is

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Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

Q: h(x) = sin? x + cos x 0 <x< 2n X =

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Q: Select each TRUE statement from the options below. Oir2a converges and a Sb for all n, then b conver...

A: As per the company's guidelines we are supposed to solve first three sub-parts for you, kindly repos...

Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

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Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4...

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Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16...

A: The given question has been solved in detail and option (c) 14/3 is the correct answer. 

Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point ...

A: Solution is written in below steps.

Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

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Q: 4. Sketch the region enclosed by the curves y |x| and y = x2-2. Compute the area bounded by the give...

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Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE: En...

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Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

Q: 3X1+ 5X2-3X3=9 2X1+6X2+4X3=14 -5X1+2X3=D10

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Q: te log (1+iv3) base (1-

A: We have to find the value of the given expression according to the given information

Q: 1. Find the mass of the region bounded by y = ! and y = x² on the interval from x = 1 to x = 4 if th...

A: Let's find. 

Q: Find the average value of the function f (x) = 20 – 5x² from (0, 3). |

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Let's find. 

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Jsing the Binomial Theorem, show that

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Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and t...

A: First find distance between foci Then use formula

Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

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Q: Use the rules of differentiation to find the derivative of the function. (8) = 4 cos(@) – sin(@) 5 f...

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Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x). AY 1.5- 0.5+ -1 0.5...

A: Find the area of the region bounded above  by y= sinx and below by y= cosx.   Here i attached the so...

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

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Q: Define the function (In(r+ 1)] cosh r+ tan r ,r20 f(r) = (sinh r) sec (r - 2) 0 >r 1. Show that f is...

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