9. 2x-1 (x+1)(x-2)² -dx

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: -6 -4 -2 0 --2 (-2,-3) 2 6 4 (-1,-4) 1. Does this graph have a horizontal shift? If yes, state the…

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Q: (D³ - 3D²D + 3)y = 0

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Q: [+ dr. sin√xcos√x Зл A 256 3 B 512 None Зл 512 (D E لما 3 256 -dx is equal to

A: We can find the answer as below.

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Area is shown below÷

Q: For the function y=x√ find the values of x for which the rate of change of y with respect to x is 6?…

A: Given: y=xx ⇒y = x32 Rate of change of y with respect to x is defined as dydx

Q: 2x²+x-2 (x+1)(x²+1) None 5 2 2 5 4 if f If A (B) C D E 1 5 | + 4 -MA+ x+1 -dx = А B (2x) + C x²+1…

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Q: +√√² cas² S 4 cos²20 de is One of the correct steps to evaluate @ 1²00-1/²160²20 4 de- A sin²20d0 Ⓒ…

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Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: 7. Use cylindrical coordinates to evaluate S √x² + y² dx dy dz where S is bounded by Z= √√x² + y², z…

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Q: 2. [e1/² cos 2tdt Set/2

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Q: (d) y = √√√x, y = 2, x = 9 M

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: dx √2+√x −1 14. f-

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Q: y = (2x − 1) (x + 4)

A: To evaluate and to solve the function using the product and quotient rule of differentiation.…

Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

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Q: Given that f is a differentiable function with f(3, 4) = 8, fx(3, 4) = 1, and f,(3, 4) = −1, use a…

A: We have to find the value of function by linear approximation.

Q: 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of:…

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Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: If a particle moves on a straight line so that s = et (cost – sint) . Which expression can be used…

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Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: find the values of λ for which the determinant is zero. 2 λ + 1 0 0 1 O(-1, 1, 1) O(-1, 1, 0) O(-1,…

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Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: √ ² si 2 63 16 105 2n C 63 D) None Evaluate: A (B 2 sinxcos³xdx is equal to

A: Given query is to find the integral.

Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

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Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)² 2. y = √5x-2 3. y = (6x-4)²…

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Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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Q: By method of Integration by Partial Fractions, A + C (1³+ 5x²+6) dx = √2-24 +5 + 8(2x=22)52]dx…

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Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

A: Solution of given question is written in below steps.

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Q: 1= sin√xcos√x √x A) None Зл B 256 Зл C 512 3 D 256 3 E 512 -dx is equal to

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Q: 4. f ta tan x sin xdx

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Q: Initial Knowledge Check Write the domain and range of fusing interval notation. 3 4 (a) domain =…

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Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

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Q: 7. 1-3√√x X 2 X √ √ 3 -dx

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Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

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Q: 2. 2 4 Scot² 3x csc + 3xdx

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Q: 2. f(x²+2x-3)(x+1)dx

A: We can find the integration as below.

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1) (A) 1/2 B)…

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Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: Look for existing numerical integration approximations available other than the methods discussed.…

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Q: 11. 5 [ese xdx

A: