Differentiate. g(x) = log 23 (5x-4) g'(x) =

Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: dx 0 (3+x)² 2 동

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Q: (x-3)² (y-4)² - + 16 196 = 1

A: Given query is to find the conic form.

Q: 12. Why does working with a special linear system (i.e. an n by n linear system of equations whose…

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Q: Is the function given below continuous at x = 6? Why or why not? f(x) = 5x-6 Is f(x) = 5x - 6…

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Q: Directions: Give the answer completely. Show the graph and the plane region in the Cartesian plane.…

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Q: dy II. Use the Inverse Function Rule to find (show your complete solution) dx 1. x = y + y² + y³

A: Given

Q: 11. x² +1 Find +3x+1 -dx

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Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: The equation of a hyperbola given below when reduced to standard form is 16y² -9x² +36x +96y - 36 =…

A: solution:-16y2-9x2+36x+96y-36=016y2+96y-9x2-36x-36=0  to make perfect…

Q: H H ED Ay H' I J' X

A: It is reflection about y axis

Q: S sec³ x+esin sec x - dx

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Q: 5. y³ = 4(y + x²)

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Q: 8- The simple expression of the 7 bs ca 3 a³ 7 bs c A. B. 3 as 21 a³ b³ c 3a³b²c² C. is 7 b5 c 3 a5…

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Q: A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39…

A: Answer: The solution is as given below:

Q: a) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by…

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: se exponential notation to express each of the following numbers to three significant figures. a.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: The graph of the f'(x) is given as

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

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Q: (b) Find the value of each convergent improper integral and show why each divergent improper…

A: We need to calculate the improper integrals and then conclude it as convergent or divergent.

Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. 을 √(x²-3x)…

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Q: Find y = x-6 dx dx

A: Given,y=x-6                                                             (1)…

Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

A: 2.

Q: 2. y = x³, y = 4x²

A: Given query is to find the area under the curve.

Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

A: Given

Q: 11. x² +1 Find +3x+1 -dx

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Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-9x 6 What is the general…

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Q: c) lim x-0 √x+5-√√5-x x

A: Given query is to find the limit of the expression.

Q: cos²x sinx dy + (y cos³x - 1)dx = 0

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Q: 1- Differentiate. a- Y= 2 ex¹2-1 b- Y= -2 sin³x c- Y= 3sin2x - cos 4x d- tan√(1-x)

A: solution:-(a)  y=2ex2+1dydx=ddx2ex2+1       =2ex2+1ddxx2+1,    chain rule      =2ex2+12x…

Q: (y² - 2xy + 6x) dx - (x² - 2xy + 2) dy-0

A: Given that differential equation is exact hence we have to find the solution of this equation .

Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: ator of a sphere, parameterized by spherical coordinates 0, and p. Let "north" point to the top

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Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

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Q: A hemispherical cake is to be divided into two equal parts as shown. Calculate the angle of…

A: Value of inclination is evaluated.

Q: 28 5. How is can be express as rational number with numerated the number 47 84 O4/7 O-4/12 O-4/7…

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Q: Which of the following is NOT true about the curve * y = x3 – 5x2 + 2x+8? (-1,0), (2,0) and (4,0)…

A: The given function is: y2=x3-5x2+2x+8y=±x3-5x2+2x+8 If a function is symmetric with respect to the…

Q: Integrate e √ √² + 36 dz + + C Question Help: Video Submit Question Jump to Answer

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Q: S 10dz 4z³-4z² + 5z

A: We have to find value of given Integral using partial fraction.

Q: 1-x x² +1 If f is differentiable function with deriviative f'(x) = - then on which of the following…

A: f is concave up if f''(x) >0 .

Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: Determine the surface area of the swimming pool. Given that the water in the pool has a uniform…

A: There are 4 edges of the swimming pool, given as: 1. x-axis 2. y-axis 3. Curve A y=-0.2x2+3x-6.25 4.…

Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: Find the area under the graph of the function over the interval given. y=x*; [2,3] The area under…

A: Given query is to find the area under the curve.

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √2x+5…

A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: A rectangle fence was installed yesterday around gemma's house. The students from the near high…

A: Given problem:- A rectangle fence was installed yesterday around gemma's house. The students from…