Set up the definite integral required to find the area of the region between the graph of y = 12 - 2² and y = -29x + 220 over the interval -3 ≤ ≤ 3. dz

Q: Question 10: x + 2z = 1 2y-z = 8 xyz = 0

A: Topic = Linear equations

Q: 1. A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through…

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Q: 6. g(x) = sec (3x²)

A: We can solve it by chain rule dy/dx = dy/du * du/dx

Q: Find a differential equation whose general solution is 8t y = C₁est + c₂e-4t. = 0

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Q: [x) = √x. (a) Simplify f(22 + h) − f(22) - h Algebraically simplify your answer until you have…

A: Given query is to find derivative using definition and then equation of the tangent.

Q: xy dx - (x² + 3y²) dy = 0.

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Q: 4 decimal places   Using differentials, solve for the approximate change in the hypotenuse of a…

A: Given   Lengths of legs of right angle triangle change from 8 meters and 15 meters to 8.1 meters and…

Q: Enter the exact answers. (a) Find the average rate of change of y = rave = with respect to x over…

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Q: Show that f(x, y) = ln(eax + ey) satisfies fx(x, y) + fy(x, y) = a.

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

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Q: 29. limx→ In A. 00 B. باد 8 n (-/-) 3x² 7x³-10 3 C. D. 31/17 E. Does not exist

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Q: 5) Use the fact that 6i is a zero of f(x)=x³-2x²+36x-72 to find the remaining zeros.

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Q: 3. y = sin (2x)sin (x) + cos(2x) cos(x)

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Q: I11 = +∞ -X e-* sin(2x) dx

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Q: how did you break up 3x-2 into 3/8(8x+4)-7/2? is there a method or formula to follow into deciding…

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Q: Find the antiderivative of r' (t) = -i— 6tj that satisfies the initial condition r (1) = 7i – 2j.…

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Q: Solve the given equation or inequality graphically. Enter your answers as a comma-separated list.…

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Q: Consider the function y = f(x) = x² + 15x + 56 and the x-value xo 5 (a) Find a formula for the slope…

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Q: cos y -y S 56°³³ Sỹ¯³ sin(y+z) dzdxdy 2

A: Topic = Integration

Q: In Exercises 29 and 30, find the values of x (if any) at which f is not continuous, and determine…

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Q: 3. f (x)=√x³ + 6x²

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Q: The intersection of the surface y = x² and the plane x = 0 resembles which of the following? 4

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Q: 6) Find all the zeros of f(x)=x³ –3x²+4x-2 and write f(x) in factored form

A: To find all the zeros of fx=x3-3x2+4x-2, and to write fx in factored form.

Q: 7. f(x)= = x² cos²x sinx

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: 2. Evaluate the following and give the exact value: Show your complete solution. cos y [*1/2 [ ***…

A: The given integral is Sin(y+z), z from y to pi -y, x from 0 to cosy, y from pi/6 to pi/2. Repost the…

Q: 22. Approximate the curve cos (3x) + 2 with a Maclaurin polynomial. A. 2-(3x)² +2+ (3x)² +2 + 4…

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Q: Evaluate the indefinite integral using the Integration by Parts formula with the given choice of u…

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Q: Find an expression for a cubic function f if f(2) = 80 and f(−6) = f(0) = f(3) = 0. A cubic…

A: given information: a=-5, and the factors of f(x) are x, (x+6) and (x-3) hence, f(x)=a(x)(x+6)(x-3).

Q: Using differentials, approximate the change in length of the space diagonal of a parallelepiped of…

A: To find out the change in length of the diagonal of the parallelepiped.

Q: Determine the solution for the following differential equation. Check first if the equation is an…

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Q: Create 3 non-exact differential equations and solve for their test for exactness and show complete…

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Q: 23. Determine the particular solution of the following differential equation: y' 2y Where: x=1;y=1.…

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Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

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Q: An automobile is driven down a straight highway such that after 0 < t < 26 seconds it is s = 7.5t²…

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

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: Given f(x) = 6/x find f’(x) using the limit definition of the derivative. f’(x)= Please explain step…

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Q: The distance d (in feet) a moving car is from a stoplight is given by the function d(t) = 21t²,…

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Q: 15 = 1₁ x² arccotx dx

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Q: Problem 1: Using differentials, approximate the change in the total surface area of a parallelepiped…

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Q: (2.) 123m33 4-3 2

A: Using laws of indices, this can be simplified.

Q: 4. Determine the particular solution of the following differential equation: y'=5xy-2x Where: x=0;…

A: Topic = Differential equation

Q: Differentiate the function: F(t)= (6x-5)2

A: Differentiate the function: F(t)= (6x-5)2

Q: If f(x) = tan x, then lim TT A (B C D 0 tan (1) sec² (4) nonexistent f(x)-f( =) x-7 is

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Q: Let f be a differentiable function such that f (3) = 4 and f' (3) = 5. If g(x) = x² f (x), what is…

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Q: 16 = dx / x7 3/5+4x⁹

A: This question has been solved without using trigonometric substitution

Q: x³y - yº lim (x,y)→(0,0) x² + y²

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Q: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

A: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

Q: 34. t-36 f(-) dx = -36, which of the following must Given that be true? A. 6-36f (p) dp = -36 B. −…

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Q: 6. 3xy dx + (x² + y²) dy = 0.

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