x² - y² = 25, x ≥ 0, y = −5, y = 51

Q: A company that sells calculators has determined that the revenue generated by selling x calculators…

A: Given, A company that sells calculators has determined that the revenue generated by selling x…

Q: 2. Find the solution of the IVP: (1+y cos x) dx - sin a dy = 0, y(n/2) = 1. Then, evaluate y(1.603).

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Q: Solve (e) (1-x²)y' = 4y; y(0) = 1.

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Q: 1. Find y' of tan(x²y) = 3x + y²

A: Given:      tanx2y4=3x+y2 differentiating on both sides   ddxtanx2y4=ddx3x+y2  Applying…

Q: Use the cylindrical shells to find the volume of the solid A sphere of radius r

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Q: True or false? If lim(xn) = x and lim(yn) = y and for all n, xn < yn, then x < y.

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Q: 3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f -…

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Q: y" + 4y = sinx

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Q: Show that xzxx+yzxy = y²Zyy if z = xy + yln(xy)

A: To prove the given result find zxx,zyy,zxy and substitute in the given equation.

Q: Find a general solution to the differential equation: dx/dt = = x + e^t -- please show all work in…

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Q: If θ=1π/4, use the unit circle to find exact values for the following: sec(θ) equals    csc(θ)…

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

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Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)

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Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

Q: 12.) Using the result from Problem 11, find the equation of the tangent line at (-2, -1/2).

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Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: 4. rdp-(p+√pr) dr=0

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Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: (c) (yez-e-) dx + (xe-+e) dy = 0 2x 608 16- 213 sec² 2 du

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Q: Solve (a) A x+2y-4 y-2x+3' (6) > c-y-1-

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Q: 38. n=1 n-2 10n + 5

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Q: Then (fofof)(x) = || (gogog)(x) = ((fog) - (gof))(x) = ((f+g) o (f-g))(x) = f(x)=2x-1 and g(x) = 3x…

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Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

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Q: (384)(340/340+50)

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Q: Given s(t) = 3t² + 3t, where s(t) is in feet and t is in seconds, find each of the following. a)…

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Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3 , f'(1) = 0 , and f'(2) = -1.

A: Let equation of the function be, f(x)=ax³+bx²+cx+d ...(i), a,b,c,d are constants.

Q: Assume x and y are differentiable functions of t, related by the equation: x2+xy-y2=-31 If x = -3,…

A: Given x2+xy-y2=-31   ....1 and dydt=-1x=-3y=5

Q: Evaluate f(3) and f(3.1) and use the results to approximate f '(3). (Round your answer to one…

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Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

Q: Find an equation of the tangent plane to the given surface at the specified point z = 6(x - 1)² +…

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Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

A: Given graph:-

Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Value decreased by 8% let  A0=Initial value = 100A = final value = 20   Every year value decreased…

Q: 29. Σ n=1 n In2 + 4η + 1

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Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: 1 23. Σ (Inn)" 0=1

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Q: -23+-13

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Q: angle between 0∘0∘ and 360∘360∘ that is coterminal with the 1950∘1950∘ angle is what degrees.

A: Topic:- trigonometry

Q: Describe the surface. x² + z² = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {7,…

A: NOTE: Refresh your page if you can't see any equations. . U be the universal set of natural…

Q: A firm produces a good from two raw materials X and Y which can be bought at unit prices of pX and…

A: We need to find x and y.

Q: Find the equation of the tangent line to the curve xy+x=2 at the point (-6, -4/3). Write the answer…

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 1. Circles…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: The function f(t) gives the height of a ball, in feet, t seconds after propelling it upwards into…

A: Height of a ball after "t"  seconds of throwing upwards in the air is given by the function…

Q: Use traces to sketch the surface. x = y² + 7z² Identify the surface. O hyperboloid of two sheets…

A: We have to find the skatch of the surface  X = y^2 +7z^2

Q: 3x-2 X→ 4x +3 Evaluate Lim A. 4/3 B. 3/4 C. 5/4 D. 1

A: