Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x 4. y 6. y= sin 7. y= 2 cos 3. 3. COSX COSA 9. y= 2secr 10. y= (2x) sin COS.Y

Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Explained below 

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to I (- x - 2x + 12x + 4x...

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: sinx f(x) = COSX

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Q: 3 - 5x - 2.r, if a >1 4 lim f(x) if f(r) = -3 4.r, if r <1 r³ – 1 †;

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: 4. Homogeneous Diffe rential Equation: (r* + 2.xy – 4y° kx-(x²-8ry-4y dy 0 Use the substitution y = ...

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Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 5x³ + 3x² + 9x %3D f'(x) =D f"(x) =

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Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...

Q: 5. Find by implicit differentiation for x + y = xy. dx

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Q: Evaluate the following limits. lim 3 A. 1. 2. lim 3" 3. lim 4* 4. lim 5 x+00

A: Let's find. 

Q: 2. Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A: Let's find. 

Q: David opens a bank account with an initial balance of 500 dollars. Let b(t) be the balance in the ac...

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: 9. lim e 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim x+00 1 13. lim COS X 14. lim e -3x+4 4x+7 1...

A: These questions are related to limits, we will solve them using given information. 

Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

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Q: Find the area of the region bounded by f (x) 3D а у 20— Зх — 2х2 and the x -axis using Simpson's Rul...

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Q: Find the slope of the curve r=7-cos(theta) at theta=9pi/4.

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

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

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Q: Vx2 – 16 if x 0 Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. lim ...

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Q: A potato is dropped from a height of 70 feet. Its height above the ground t seconds later is given b...

A: Put S=0 which means potato touch the groun so that height from groun is 0.

Q: 15.What is the first derivative with respect to r of f(x) = (? – 4)(3x – O A. 6x о в. (х +2)(х -2) (...

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Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: Question 2 Consider the equation 3xy + y? – 2x = 1. Find dy - dx Зу— 2 За + 2у - O 2– 3y 3x + 2y Зу ...

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Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

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Q: 6. The equation of the family of straight lines with y-intercept and slope equal is

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of mu...

Q: Based on the graph of f (x), find the following: Note: If the f(a) and lim f(x) does not exist write...

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: 1. Elimination of Arbitrary Constant: y = Ar+ Bx+C, A and B are constant, C is a parameter 2. Famili...

A: Since you have posted multiple questions. As per guidelines we will solve only first question  If yo...

Q: ôʻy The order of the differential equation 5x- + 3x + w²y = 0 is ôx 3 dʻy The degree of the differen...

A: To find order &amp; degree of differential equations.

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line ...

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Q: to

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Q: Differentiate the function. y = (In x)4 %3D y' = %3D

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Q: By using first fundamental theorem of calculus. Solve the problem 1.) Suppose f(x, y) = S*3 If fx (0...

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Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

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Q: 1 3. lim coS x 14. x-0 5. lim 4x+7

A: Given query is to find indicated limits.

Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

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Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.   G...

Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: graph 5 - 4- 2- 2 3 4 5 ó 7 8 9 10 Use the graph to estimate the solution to 1.2" = 2 3.

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and...

A: Here, to write the other method to find the arbitrary constant of the differential equation.