Evaluate the following antiderivatives. S dx √x²+2x+5

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A: To find the distance between the two cars.

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A: Given :f(x)=cosxx1=1.6

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: Suppose that the nth term of the sequence of partial sums for a given series is Sn = 1+2n+3n² 4n²…

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 2.…

A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: 2. Integral A e3A dA

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Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A culinary school…

A: Here we have to find type l and type ll error.

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Assume that the random variable X is normally distributed, with mean μ = 70 and standard deviation…

A: To find the probablity P(X>a)  then we have to convert the expression into  Z-score value of the…

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

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Q: Fill in the blanks: x² + The equation describes an ellipse. The volume of the solid obtained by…

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Q: Find the largest product the positive numbers x, y, and z can have if x² + y + z = 4. The product is…

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Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =

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Q: Find the location and value of each local extremum for the function. 28) + -3 3 -4 -M

A: To find location and value of each local extremum of given function.

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Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

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Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: Calculate the future value of end- of-month payments of $500 made for 4 years into an investment…

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Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

Q: Find the general solution of the following differential equation. y" + 14y' + 50y = 0 NOTE: Use C₁,…

A: The given differential equation is: y''+14y'+50y=0   We can also write as; D2+14D+50y=0 So, The…

Q: A bus has 8 vacant seats in the first rose. If three additional passengers enter the bus in how many…

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Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: Use the properties of the definite integral to express the definite integral of ƒ (x) = 6x³ − 4x² +…

A: Given :f(x)=6x3-4x2+2x-3interval [ 1, 3 ]

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Ju 2²u Consider the heat equation = Ət for a bar of length L=1, with non homogeneous boundary…

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Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: What is the area of a quadrilateral with vertices at (-2,-6), (1,-6), (-2,0), and (1,0)? Enter the…

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Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given

Q: Solve the following initial value problem completely, and check your answer by comparing it to the…

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Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx…

A: See the details solution in below

Q: Refer to functions s and t. Find the indicated function and write the domain in interval notation.…

A: Given sx=x-3x2-36 and tx=x-63-xWe need to find stx and its domain.

Q: 2. Find x (round your answer to 2 decimal places) 80° 70° 7 X

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Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

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Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

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