Which ordered pair is a solution to the following set of linear equations in two variables. 3x+3y=15 y+x=2 (-1,6) (10,-5) (2,3) the lines do not intersect

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A: we need to graph the function   where explanation and graph in step 2

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Q: Find the maximum and the minimum values of f(x,y,z)=2x-5y + 6z on the sphere x2 + y2 + z2 = 65.

A: To find maximum and minimum value

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A: Let  be a continuous function on  and differentiable on . Then there exist some  in such that.

Q: 6. (a) Let g and à be functions that are differentiable on (-00,00). where F(z) = **) h(0) 10. Find…

A: In this question we have given two differentiable functions g and h and we want to find…

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Q: Factor out the greatest common factor from the expression. 12x²y²z - 15x³y² + 6x³y²z²

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Q: Let f(x)= 1+ 4x 5- 2x (i) What is the domain of f(x)? (ii) What is the range of f(x)? (iii) Find the…

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Q: The following graph has a discontinuity. Which item of the continuity checklist is violated first? 2…

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Q: Book Problem 5 For each sequence, find a formula for the general term, an. 1,,,,... an = 2 4 8 3…

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Q: Find an equation of the line that passes through the points. (6, 5) and (6, 9)

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Q: The Second Gate You arrive at the gate that holds the spaceship. Your computer translates the…

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Q: 10. Find AE. (AB = 6) A) 8 B) √75 6 66 B 3 D D) 9 5 E E) None of these.

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Q: Use the Quotient Rule to show that dx [cotx] =-CSC X. -csc²a

A: Given- To verify-  Verify the above derivative formulas using the Quotient Rule.Identity Used-…

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Q: Solve the following system of equations: (1) -x+2y+ 6z=10 (2) -10x+20y+ 60z = 100 O Ø (the null set)…

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Q: (2) Calculate the limit. lim Inx x→∞ √x (3) Find the intervals on which function f is concaving up…

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Q: Book Problem 39 Write down the first five terms of the following recursively defined sequence. a₁ =…

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A: Given:We are required to find:

Q: A collection of 226 coins consisting of pennies, dimes, and quarters has a value of $16.60. Five…

A: A penny, a dime and a quarter are equal to  cent,  cents and  cents respectively.Form the equations…

Q: z cos(2x)) - cos(2x))+

A: here using sin2x = 2sinxcosx                 cos2x = 2cos^(2) x -1

Q: The domain of f(0) = csc ( f(0) = csc (ne) + +1 is: O All real numbers except for multiples of 5n O…

A: Given:We are required to find:

Q: 5. The position function of a particle is given by s (t) = t³ - 6t² + 9t, 0≤ t ≤ 4. Position units…

A: NOTE: Refresh your page if you can't see any equations..The given position function is,To find the…

Q: graph

A: To graph the trigonometry function.

Q: Use the table to evaluate the following limits: x f (x) lim f(x)= x-8- lim f(x) = x+8+ lim f(x) =…

A: The left-hand limit of a function  at  is the value of the function as  tends to  from the left.The…

Q: Use the figure below to estimate N WAS 5 4 3 1 6 12 30 € 1.50⁰ f(x) 18 f (x) dx. 24 30 X This…

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Q: 5. (§8.3) Evaluate the trigonometric integral: sin³ a cos³ a da TWO ways: (a) Splitting off one cos…

A: , where  is the integral of .

Q: (6) If f(x) = x + ₁ + x+1 + cos x find f'(1).

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Q: t=a v= t = 1 t = 2 t = 3 v = || V = m/s m/s m/s m/s

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Q: x lim f(x)= x-5- lim f(x)= 2-5+ lim f(x) = 2-5 4 -11 4.9 -13.7 4.99 5 5.01 5.1 -13.97 -9 -14.03…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Simplify the expression. (Assume that r, s, and t are positive.) √64r6√√s²t4 3

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Q: Which of the following is the magnitude of a vector that has an initial point of (3, -5) and…

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Q: A real-life problem is modeled using a sine function in the form of f(x) = asinx + c. Assuming a is…

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Q: Solve the equation by using the quadratic formula. (Enter your answers as a comma-separated list. If…

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Q: In x x→∞ √x (2) Calculate the limit. lim

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Q: Consider the following initial-value problem. y" - 3y' = 8e²t - 2e-t, y(0) = = 1, y'(0) = -1 Find…

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Q: because I don't want you to evaluate this analytically, but you should still be able to find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

A: As we know that the domain of the Sin-1 x is  [-1 , 1 ] so use the concept.

Q: 12. James is standing 90 feet from a nearby river. He sees a fire in the distance and quickly…

A: According to the figurethe width of the river the required distance to put out the blazing fire

Q: Suppose F(3)= -2, F(5) = 6, and F'(z) = ƒ(2). [ f(2) dz =

A: As we know that Integral (or Antiderivative) is inverse process of Differentiation.

Q: Given vector v = (-2,5) and vector u = (6,8), what are the endpoints of vector v + u? v+u = (8,13)…

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Q: x² Find the volumes of the solids generated by revolving the region between y = 4√√x and y = about…

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Q: = For positive acute angles A and B, it is known that sin A = and tan B Find the value of sin(A – B)…

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Q: Plot each angle on the unit circle below. You will need to draw additional radius segments o 0, 30,…

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Q: use derivatives to determine where f(x) = x³ - 2x² + x +1 (a) where function is increasing and…

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Q: 3. The part of the plane z = 1+ y that lies above the cone z = √2x² + 2y²

A: The part of the Plane z = 1+y that lies above the cone     z= √(2x^2  + 2y^2)