20-21. What is the area of the region between the graphs of y=-x² and y = -x? A) B) D)

Q: 5.Express this model of an electric circuit dy d²y dt² +6+5y=sin10t, y(0)= 0, y'(0)=1 dt As a pair…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: 3. Consider the function f(x) = 23 if x = Q if x # Q. Prove that f'(0) = 0. Hint: Apply the…

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Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…

A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.

Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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Q: Q1. Let r(t) = i + 3tj + t²k be the position of a particle in space at time t. Find the following:…

A: We have to find the velocity , acceleration vector and time at speed = 5.

Q: Make the u-substitution 2 sin x = 2u 1+u²⁹ COS X = 1-u² 1+ u² and dx = du 1+u² to convert the…

A: To evaluate the given integral.

Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

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Q: RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Solve the…

A: Given 3. f(x)=(5x2+8x)3To find the deriative:

Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

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Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

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Q: Evaluate f 4r-1 3 (2r+1)² dr

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Q: Let the demand function for a product be given by the function D(q)=−1.15q+200D(q)=-1.15q+200, where…

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s.…

A: topic- average of function over interval

Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

Q: For the function g(x) = (x-6)²-16, find each of the following by referring to the graph. (A)…

A: Here we have to find the given property.

Q: dx 3 Losx

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Q: Evaluate the iterated integral. In6 In2 S." " exty dydx = Mi In6 In2 etty dydx

A: Topic = Integration

Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e- at y(0)=1 and y (0)=2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: Use interval notation to write the solution set of the inequality. x²+3x-40 ≤0 2 The solution set is…

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Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

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Q: The question was 1+9+25+49+81.....+121

A: 1+9+25+49+81.....+121

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular, with three…

A: solution:-let l be the length and w be the width of the one sided rectangular cubicalgiven total…

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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Q: stion4: Find the general solution for the following second-order ODE as a D-operator form: (D²-3)y=…

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Q: f(x)=3x2+2x+6 f'(x)=f′(x)=    f'(2)=f′(2)=

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Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t²…

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Q: Evaluate the following integrals 32-1 x + 2 dx +-² +1

A: SOLUTION-

Q: L Direction: Identify whether the following functions are continuous or not at x =4. Write your…

A: Given problem:- Direction: Identify whether the following functions are continuous or not at x = 4…

Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: Use interval notation to write the solution set of the following inequality. x²-3x>0 What is the…

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

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Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

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Q: 9- Identify the points of discontinuity, holes, vertical asymptotes, x- intercepts, and horizontal…

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: 3. Which of the following illustrates the Fundamental Theorem of Calculus? A) value at lower limit…

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Q: let X be a random variable with density function given by x si -1≤x≤1 f(x) = ={1 0 en otro caso x…

A: As the given function is triangular function between -1 and 1 , hence, we can use the general…

Q: Write down the first five terms of the expansion of (1 + 3x)²/½/2 for /x/ < =//=

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Q: Find absolute extreme values for (2) g(t) = √t 1+12¹ x € [0,2]

A: Given: Function  gt=t1+t2, 0≤ t≤2To find: Extreme points gt=t1+t2, 0≤ t≤2

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

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Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: 2) lim f(x) if f(x) = {x+3₁ x22 x²-9, x<2 x-2 F(x) X 2.75 2.5 2.1 2.01 2.001 X 1.5 1.75 1.9 1.99…

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Q: Evaluate f sin √r dr

A: Topic = Integration