Given the sets C = {1, -3} and D = {2, 3, 6}, find all ordered pairs (x,y)and those that satisfy the relation R = {(x,y) / x + y = 3, x ∈ C ∧ y ∈ D}

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) < 0 then maxima will occurs if f''( x ) > 0…

Q: Sketch the graph of y = x³ - 6x² + 9x + 1 by first finding the following a) the intervals on which y…

A: Given :   find first derivative  equate to zero to find critical point

Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

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Q: (3siny - 5x) dx + 2x²cotydy = 0

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Q: (a) (b) dv Find and dT dv dM means that in dry air: Write a sentence describing what each of the…

A: v = 273.15BγM.1 +T273.15let 273.15Bγ = a and 1273.15 = bTherefore,v = a1 + bTM dvdT = ddT(a1 +…

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: 7. Make a substitution to express the integrand as a rational function (a quotient of polynomials)…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi + yj + zxk and S is the…

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Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

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A: Given:   The initial value problem is (D2+2D-3)y=12    and y(0)=1 and y'(0)=3

Q: d³y 2. 6- dx 5 11 day dx4 d³y d²y -42- +96- dx 3 dx² dy 108 +27y=0 dx

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Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

Q: Find the volume formed by rotating the region enclosed by: x = 7y and y³ = x with y ≥ 0

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Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) y = √e*+…

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Q: System Of linear Equation : The Company producing training sets for basic operations with ABC…

A: Topic - Linear equations  We are given  the company will produce a total of 7308 educational sets.…

Q: 2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is…

A: We can solve the given problem by using the trigonometric formulas.

Q: complementary

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Q: Which one of these expressions is not equivalent to the other two? Select the odd one out. A (В B a.…

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Q: Given the hyperbola with the equation equations of the asymptotes. 22 4 y² 49 = 1, find the…

A: We need to find vertex, foci and asymptote.

Q: State whether the given sums are equal or unequal. Σf ² and 1² j=1 k=1 O Equal O Unequal

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Q: The acceleration of an object (in m/s2) is given by the function a(t) = 7 sin(t). The initial…

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Q: 7. g(x) = f' √t + 1² dt

A: Given query is to find the derivative of the expression.

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: Problem 1. convergent or divergent. ∞ 1 n=1 n Use the Integral Test to determine whether the…

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Q: Evaluate the definite integral. 25   0 9e   x   x dx

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Q: Evaluate the definite integral: π/2 cos(z) π/6 sin¹(z) L dz = (1/(sin

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Q: 6. Determine whether the series is convergent or divergent. If it converges, find the sum. Σ(++ (4)…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: 43. Let f(x) be a continuous function. Express (2) + (2) + + lim as a definite integral. +(A)

A: Given expression:- limn→∞1nf1n+f2n+..........+fnn

Q: 5. Carl wants to invest P50000. His friend advises him to invest in three types of accounts: one…

A: Given  Total invest amount = P50000 Let the invested amount in 3% account is x The invested amount…

Q: Suppose that 3 ≤ f'(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: What is the minimum possible perimeter for a rectangle whose area is 100 square inches?

A: Given query is to find the minimum possible perimeter.

Q: Please write in a better format. I do not understand how the problems is developed when letters and…

A: To determine the second derivative of the following parametrically defined curve.xt=2 sin3tyt=-cos3t…

Q: Given f(x) = ax³ + bx² + 9x + c. Find b so that (2,3) is a point of inflection of the graph of f and…

A: The inflection point of the graph of f is (2, 3). So,                  f''(x)=0 at (2, 3)⇒6ax+2b=0…

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: 4) Evaluate 0 2 X Je dy dx X

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Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)bog (3x²-2); x Solution: x=1

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Q: L₂ (3x + 4) dx

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Q: Determine ext the derivative OF X² + Intan(x)

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Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: solve (-5)2 + (-3)2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. Using vertical Shrinking and stretching, sketch the graph of the given functions in the same…

A: I have solved step by step in detail....go through the solution

Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r dr sin 0 = -1- 2rcos 8 de

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D…

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Q: Use integration by parts to evaluate the integral: 7x dx = f9x²³e¹²d

A: Given query is to find integral.