1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

Q: Find the average value gave of the function g on the given interval. g(x) = 2 cos(x),   (-π/2, π/2)…

A: Given query is to find average value of the function.

Q: Calire, Blanch, and Cam can mow the lawn in 5, 7, and 8 hours respectively. How many hours will it…

A: Need to find out the number of hours it will take to do the work when they work together.

Q: Suppose that the functions p and q are defined as follows. p(x)=x²+7 g(x)=√x+8 Find the following. =…

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Q: Solve using integration of parts:  ∫x2 cos x dx

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Q: Provide a step-by-step but complete solution to this problem in Calculus.        Integrate dx/x…

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Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 49.9(0)(-77.895)

A: Question : -49.9(0)(-77.895)

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: My Solutions > After learning that the slope of the tangent line is the derivative of the function…

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Q: -5 -4 -3 -2 -1 5 4 3 -4 2- 0 --10 -2- -3- -57 1 2 3 4 5

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Q: dI (a) dy = -2xy, (b) xy' + 3y = 0; y(1) = 2, (o) +27= 10; 7(0) = 0, dx

A: According to guideline I can answer maximum three subparts.

Q: rdp-(p+√√pr)dr=0

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Q: Check for exactness and obtain the general solution. 1. x(3xy - 4y³ + 6) + (x³ − 6x²y² - 1)y' = 0

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Q: x that makes each statement true. 15. 3 - 2 -X 4 = - 9 16. y². y² =

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Q: Q1/ Find of the following functions de 1) y=²-1 and x=21 +3 3) y=e* cos2x 2) y = sin(1+tan 2.x) 4)…

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Q: 2 The point P is on the unit circle. If the y-coordinate of P is, and P is in quadrant II, then x=

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Q: Expand log₂ 64a4 b6c4

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Q: 4

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Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: Stopping Distance A car is traveling at a rate of 50 feet per second when the brakes are applied.…

A: The Solution is given below:

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: y – 4y = xe*

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Q: An amount of $500 was invested in 1995 and the investment grew as shown in the following table.…

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Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

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Q: ONLY parts L, M, and N please show all work

A: Given Figure:

Q: lim f(x) and f(x) and lim f(x) x-(-1) x-(-1)* 2 " 09 -10 of(x) 2

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Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: Find

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Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: For the function g whose graph is given below, arrange the following values in increasing order. A:…

A: Graph:-

Q: 201 559 You are allowed to use a graphing calculator for #5 Which of the following is an equation of…

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Q: (6x+y²) dx + (2xy-3y²) dy =o

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Q: 2. In a factory, all employees work a basic week of 38 hours. Any overtime worked is paid for at…

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Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

Q: Each of the following differential equations has an integrating factor depending on only one…

A: as per company guidelines we solve only first question when multiple question being posted

Q: I need a clear answer by hand, not by keyboard | dybala (a) Show that y = cx + 3c² + c and (x + 1)²…

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Q: What value should be multiplied to (y + x³y³) dx + xdy = 0 to make it an exact? 1 (xy) a. b. (x+y)-3…

A: We have to choose the correct option from the given options according to the given information

Q: 2 (2xy-3x²) dx + (x² + 2y) dy = 0

A: We have to find the solution of the following differential equation in x and y.

Q: . Determine the W3 fourth root of 16+16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR…

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Q: Determine whether the three points are the vertices of a right triangle. (6,1) , (0,4) , (-6,-8)

A: Given, (6,1) , (0,4) , (-6,-8)

Q: (g) For each fixed k, and each a such that 0 < a < 1, the series Enka" converges and thus, lim na" =…

A: Please see the below picture for detailed solution.

Q: Determine the solution of the DE=0. z = c + √t a. b. z = c√t c. z=c-√t d. z = c/ e. Cannot be solved…

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Q: 1. For each of the functions f(x, y) below, describe its domain in set notation, give a geometric…

A: Dear student  We are allowed to solve the first 3 subparts of the question. If you need the rest of…

Q: 23-2 y₁ Evaluate. lim f(x) x--3

A: Given query is to find indicated limit.

Q: Find the derivative of f(z)=−4⋅7zfz=−4⋅7z

A: given data   f(z) = -4*7z here we have to derivate with respect to z find f(z)/dz =? f(z) = -28z…

Q: MULTIPLE CHOICE 1. Let f(x) = x² + 2x - 5. What is the x-coordinate of a point where the…

A: Let fx=x3+2x-5. To determine the x‐coordinate of a point where the instantaneous rate of change of f…

Q: y"+y=csc²

A: Need to find out the solution of the differential equation by the use of variation of parameters.

Q: Q1/ Find of the following functions dx 1) y=²-1 and x=21+3

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