2x cos(x²) esin(x²) dx

Q: Perform the indicated integration using INTEGRATION BY PARTS 1. √z. In z dz

A: To perform the indicated integration by using integration by parts. ∫z·lnz dz Note: Since the…

Q: Subject: calculus  what is the definition of derivative?

A: Calculus

Q: (b) J 32+3 22²-2-1 dx

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Q: Find the equation for the plane through the points Po(-2,-4,5), Qo(4, -3,1), and Ro(-3,4,-3 Using a…

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Q: If a company has total costs C(x) = 40,000+ 15x + 0.2x2 and total revenues given by R(x) = 595x…

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Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

Q: Each of the following problems addresses a course SLO for Math 21. Each individual student completes…

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Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

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Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: Find the distance from the point to the line. P(1,9,9); x = 1+8t, y = 9 + 5t, z = 9 The distance is…

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Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given radius of a right circular cone is increasing at a rate of 1.2ins and height is decreasing at…

Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2

Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: Given the graph of y = f(x) below, answer the following. y -5 -4 -3 -2 4- 3 2 1. -2 -3- -4 -5 23…

A: A graph of the function fx is given. We have to find a solution for fx≥0.

Q: (c) Given equation r²+(2-1)² = 4 in the cylindrical coordinates. (1) Express the equation in…

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Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: I. Find the given vector. 1. e, where v = (4, -2, -1). 2. Unit vector in the direction opposite to v…

A: 1. v=4,-2,-1 2. v=-4,4,2

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

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Q: graphs are given below. a) V Y b) Y = 10

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Q: The equation for the price of a television, based on the demand, is P(x)=175-0.4e0.001x What should…

A: The equation for the price of television based on demand is P(x) = 175 -0.4e0.001x. Our task is to…

Q: The radian measure of the acute angle is 0 =

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Q: 1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at…

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Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

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Q: A jumbo jet maintains a constant airspeed of 500 miles per hour (mi/hr) headed due north. The jet…

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Q: y = sin x, y = cos x, T - and the y-axis

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y=x²-c² and y=c²-x² is 20. C=

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Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

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Q: Evaluate the double integral changing to polar coordinates. ¹/1₁ (² (2x - y) dA, where R is the…

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Q: Suppose parametric equations for the line segment between (5, 1) and (6, −3) have the form: a + bt c…

A: Here we have given the parametric equations as follows: x=a+bt y=c+dt Now, here it is given that at…

Q: Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: At two points on the curve y = x3 − 6x2 + 8x − 1, the slope of the tangent line is −1. Find these…

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Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

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Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: For the function f(x) = 5(2) - 7, state its domain, range, and asymptote and then graph the…

A: Given, the function…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Suppose that R is the finite region bounded by y = x, y=x+2, x=0, and x = 4. Find the exact value of…

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Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: Let f(x)=2x² - 6x² - 48x + 6. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

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Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

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Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: Find an explicit solution of the given initial-value problem. dy_y2. = y(7) = 7 y = dx حمد

A: Given: dydx=y2-1x2-1,y(7)=7 We are required to find: The value of y.

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: if √x ≤ f(x) ≤ 4₁ x + 1 for all the positive x-values, then what is lim P(X) ?

A: