The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity and inflection points

Q: sketch the figures and show step by step solutions. Find the volume generated by the revolving the…

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Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Find the area of the surface obtained by rotating the curve about the x-axis. 2) 20 sys 3 Select the…

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Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: 27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified…

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Q: The vectors a = : (4, -10, 8) is perpendicular to the vector b = (8,-8, -14). Select one: True O…

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: ① use First_principle to solve 강종 If y=45-35

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1…

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Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

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Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

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Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2<x<34for x≥3

Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: Find the solution of the following initial value problem. 100y" - y=0 y(-10) = 1, y'(-10) = -1 y(t)…

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Q: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: The cost, in dollars, of producing x units of a certain item is given by Cx=0.04x3-5x+500a To find…

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

A: See this solution in below.

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A: Let's solve given diffrential equation.

Q: 17. A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: Firstly calculate length of the sector then height of the cone

Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

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Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: Solve the triangle, if possible. a = 150 m, A = 31.53°, C = 22.95° Select the correct choice below…

A: This question can be solved using the concept of sine rule.

Q: 11. Use the comparison test to determine whether 8 k=1 2k 4k + 5 converges.

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Q: the graph of f (x) = r the exact answer. Number below to find a number such that f (x) y 1 0.7 0.5…

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Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Consider the region B under the graph of y = 5x² + 3, x [3,5], and above the x- axis. Estimate the…

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Q: Question 2: A) Verify that y = c₁e-x + c₂e5x is a solution of the DE: y" - 4y - 5y = 0. B) Find a…

A: Topic = Differential equation

Q: Suppose that the functions h and g are defined as follows. h(x)= (-5+x) (5+x) g(x)=-8-6x (a) Find…

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