Obtain x²dx by integration.

Q: 13) y= (х2+2х-1", бус? A) X+1 y в) чу (х+) D) — (XH) (x2+2*-1) 3/2 c) 1 2\722x-г

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Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: Suppose you deposit $6000 at 6% interest compounded continuously. Find the average value of your…

A: Given: Deposit Amount = $6000 Interest rate = 6%

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Given f(x, y) = fzz(x, y) = 6x5xy² - 2y³, find fry(x, y) = Question Help: Video Submit Question Jump…

A: Given: fx,y=-6x6-5xy2-2y3   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: The number x of MP3 music players that a store will sell and their price p (in dollars) are related…

A: At we find the value of x at P=100. Then we differentiate and putting the values we find dx/dp at…

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t = 0…

A: NOTE: Refresh your page if you can't see any equations. .

Q: In which of the relations represented by the tables below is the output a function of the input?…

A: To find which of the given options shows correct output for the given input.

Q: Find the integral of F(x) = √ 2x + 3 over [-1, 1], using Riemann sums with n=4 and the midpoint of…

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Q: (x₁+) lies 1) lies on the unit circle. Find X The point (x all values of X

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Q: ܢ Find an antiderivative of Antiderivative = 9 z2+9 4 25 in the variable where > Remember to include…

A: To find the antiderivative function.

Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

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Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

Q: 6) as an ice block metts, the note at which its moss M, decreases is directly proportional to the…

A: NOTE: Refresh your page if you can't see any equations. . M=mass of ice cube dMdt=rate of change in…

Q: Solve the differential equation with initial condition. y + y = 0, y(0) = 4

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Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: Write the equation x=y^2 in polar coordinates and state the vaules of theta that produce the entire…

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Q: Evaluate the cylindrical coordinate integral * 0/2* 3+26r² SS S dz r dr dº 00 0

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Q: Integrate the indefinite integral. Se-2 da

A: ∫eaxdx=eaxa+c

Q: what is the interest rate on an account that took 15 years to double if interest was compounded…

A: Let $P0 is invested for t years with r% interest rate compounded continuously. Then total value…

Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: B) 롭 A) 5x tanx O 45 A) 46 11) y = x². Tanx > dy = ? Ta ン de 2 secxx D) 5x4 tanx D) Z B) X5 sec X 5…

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Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A: dtndt=ntn-1formula is speed =dsdtaccelaration=d2sdt2

Q: Q1 -/m 3 SoNe |3x+1|-4=1

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Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: 8). Hy is a a differentiable function of X, then the slope of the curve of; 3 ³ = 6 at point where…

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Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

Q: The angle addition formula for cosine is cos(a + 3) = cos a cos BF sin a sin 3. Use this formula to…

A: To find the value of given trigonometric expression

Q: The first three terms of the Taylor series for COS approximation D a) 0.8092 b) 0.8089 c) 0.8090 d)…

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Q: Let g(x, y) = 3x³-6-2-5-y2 +1. a. ag ar Show/hide

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Q: Convert from a Rectangular to a Polar Equation: f(x) → r. (x-3)² + y² = 9

A: We are required to convert the rectangular equation (x-3)2+y2=9  to polar equation

Q: An appliance company has determined that the cost of producing ice cream makers is $⁢29.50 per ice…

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Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

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Q: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: Evaluate the double integral for the function f(x, y) and the given region R. (Give your answer…

A: Evaluate double integral

Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: The cartesian equation of the curve given parametrically by x = cosht, y = cosh2t is ? O a) y = 2x²…

A: Given that x=cosht and y=cosh2t

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: The Maclaurin series for cosx is ...? O a) 1 + +2 +4 +6 2! 4! 6! ○ b) x - - 6 + .... 21 + 21 − 2 +…

A: f(x)=cosx The Maclaurin series of a function is given by :…

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: we have to find the component form of vector v ,   whose magnitude  ||v||=4 and angle with positive…

Q: A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the…

A: In this question we have to find how many gallons of each brand of antifreeze must be used.

Q: Find an equation of the plane. The plane through the point (1, 8, 2) and with normal vector 5i + j -…

A: we have to find the plane equation which ,    passing through point P( 1, 8 ,2 )  and with normal…

Q: Consider the following. می شود du = x²(x³ + 1)3/2 dx Let u = x³ + 1. Find du. dx Indicate how the…

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Q: Identify the real numbers xo, X1, X2, X3 and x4 in the figure such that each of the following is…

A: As we know when tangent is horizontal then f'x=0 when concavity changes then f''x=0 and x value…

Q: ・S 21³/2 50. 2:³/2 In x da a

A: Solve the following