9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

Q: xydx – (x² + 2y²)dy = 0 ||

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Q: 9y? = 4x3 from the origin to the point (4, %3D 144. Identify the length of the curve

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Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function 

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Q: -3x 8 f(x) = - 5x + 8 - Step 2 of 2: Evaluate f "(3), f "(10), and f "(-2), if they exist. If they d...

A: First I have written the quotient rule of derivative and use it for given function and easily get th...

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A: Topic = Integration

Q: xy' + y = 0, y(4) = 6 y'cosh?x = sin² y, y(0) = }7 TT y' = -4.x/y, y(2) = 3 xy' = y + 3x* cos² (v/x)...

A: As per guidelines, I can answer only one question. Since you have asked for multiple questions, so I...

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: 3x 3. lim х-0 sinx

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: Average Rates of Change Use each graph to estimate the average rate of change of the percentage of n...

A: We need to find the average rate of change for the given graphs.  

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

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Q: - Trig Sub dx x+V9 – x2

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Q: Find z2 sin z dz

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Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: 出w-2 Verify that Wメy Wyx for the functionss T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

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Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function. ...

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Q: 3. Scooby Inc. plans on producing the packaging of Scooby Snacks in the shape of a triangular prism ...

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Q: Determine the coefficient of a in the expansion of (a +)" 10 O 120 O 252 O 210 O 151200

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Q: 4-4сosx lim X→0

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Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

Q: Va –2 -dx aㅎ (V+1)

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Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: x2+1 - dx x4-x²+1

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Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provide...

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Evaluate f x Vx + 10 dx

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x <.

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Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

Q: Evaluate f (2 cos x-sin x)² sin x

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Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Vx – x The lim x→1 In x

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Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the...

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

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Q: dx Evaluate x²V4+x²

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = y A = 6. 27 x = y? 6

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu       =-∫01...

Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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