開 3 1. L-1

Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A: Given that y=fx+5x24 along with it when x=-1, there will be f-1=-4, dydx=3 We have to find the value…

Q: Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.

A: Topic = Area

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

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Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: 20.) Differentiate. f(x) = +3 -2

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Q: y²-2xy +6x) dx-(x²-2xy + 2)dy=c

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: see below the answer and explanation

Q: 2ly² - 4y + 5x = 21 FIND Y'

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Q: Name: 1. Find the value of b for which the given equation is exact. Then solve it using that value…

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Q: 10.) Find the simplified form of the difference quotient. f(x)=x² + x

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Q: Expand log₂ 64a4 b6c4

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Q: 3) Suppose that f(x) = cos x and dy dz Choose the best answer. Find • O-sin(x) O-3sin(3x) O-3sin(x)…

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Q: 2. use the variable. u for the inside express each of the following as a function. a) y (4 + ²-3) 5…

A: Concept: A function is composed when two functions, f and g, are used to create a new function, h,…

Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0

A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)

Q: Draw the region of integration and reverse the order of integration to So evaluate the integral. 0 1…

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Q: 12. Discuss the continuity of the function g(x) x²-4 on the interval [-1,2].

A: Given gx=1x2-4 interval x∈-1, 2

Q: 18.) Find the derivative.

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A

Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

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

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Q: Solve (e) (1-x²)y' = 4y; y(0) = 1.

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Q: Suppose that a certain car has the following average operating and ownership costs. Average Costs…

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Q: Use Gaussian elimination and Gauss Jordan method to solve the system of linear equation. x - 2y-6z =…

A: The given system of linear equations, x-2y-6z=122x+4y+12z=-17x-4y-12z=22 We have to find the…

Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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Q: the lakrang. 3 foxy 2 2 7 True Erort

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Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 8,…

A: Let U be the universal set of natural numbers less than 11.  Consider the following sets. A=1, 8, 4,…

Q: Help Entering Answers Find the length of the curve: where 1 < t < 4. Length = M r(t) = 9ti…

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Q: Find the integrals: 1- xdx A. -2/3 (1-x) 3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3 (1+x)…

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Q: (132) 3 WHAT DEGREE?

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Q: y ( x ) = (₁ e ² + ( ₂ e 2X + - 3e³x; y(0) = 0, y'(0) = 0

A: Given:- yx=c1ex+c2e2x+3e3x y0=0,y'0=0

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: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 1. Circles…

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Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

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Q: se the graph of y = f(x) below to graph the function = f(x + 1)-3 -5- Y

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Q: z = x² + x - 3xy + y3 - 5, find all points (x, y) wherein zand zy = 0.

A: The points are (1/4,1/2) and (1,1) the detailed solution is given below

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: We can solve the given differential equation .

Q: Use the substitution x indefinite integral 97dx x²√x² + 16 4 tan (0) to evaluate the

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Q: plot 1 2√x+y + 1 2√x-y

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Q: f(x) || { -४४० -122 X ++ x + 2 C if x # -2 (and x = 0) if x = -2

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: Evaluate J√sin a 3 sin x cos³x dx.

A: Need to evaluate the integration.

Q: Find the particular solution of each of the following. y(1+21n²) dx+xdy=0; y(e)-e

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Q: The graph of the function f(x) is shown below. f(x) f(-1) is f(0) (a) Using the figure, find the…

A: Here we have to use the concept of derivatives

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

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Q: 1.) Graph the system of inequalities using the linear combination/substitution method (addition, not…

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Q: Find the PS of y' 2 cos²x - sin² x + y² 2 cos x y(0) = 1984

A: Given y'=2cos2x-sin2x+y22cosx and y0=1984

Q: Q14.1.6 Find the domain of each of the following functions of two variables: a. \ds √9 - x² + y²-4…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

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Q: main of h(x)= 2 x - - - IS 2122²2 what does f(1) + f(-1) equal? = 2x, what does f(x+1)-f(x - 1)…

A: We have to find the following given condition according to the given information