7x dx 19. (1 – x²)3

Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,           T...

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Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: Find the following integral using substitution of the attached image. Clearly indicate what

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Q: Solve: If n is a known positive integer for what number c is (xn-1dr =

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Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: 10 dx a > 0 (a2 + x2)3/2'

A: NOTE: Refresh your page if you can't see any equations. . ...........(1) substitute  ............pu...

Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: A. B. ET D G. 2.

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Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - Oy = -2cos8(x + T1/...

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Q: Evaluate the following triple integral: 3 x x 6z dzdydx

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Q: Sketch the region of integration and change the order of integration. -25 * " f(r, y)dydx S S f (x, ...

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Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the f...

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Q: Find the corresponding angle measure in radians. O A. - 45° OA. 4 7T O B. 4 OC. 3 元 OD.

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Q: write the following integral using the opposite order of integration. Do not evaluate the egral. 4 x...

A: follow next step

Q: A rocket rises  s(t) = 8t5/2  feet in t seconds. Find its velocity (in ft/sec) and acceleration (in ...

A: Given that: Rise of rocket:                s(t)=8t5/2

Q: Starting with the graph of f(x) = 6ª, write the equation of the graph that results when: (a) f(x) is...

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Q: cos t dt 1 + sin t 37.

A: The given integral,37. ∫cos t1+sin tdt

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

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Q: Estimate the slope of the tangent line to the curve at the given point (x.y). The slope of the tange...

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the tangent lin...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: Here we have to find the solution of given differential equation. 

Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

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Q: Part (c) Consider the initial value problem dy (t – 2)(t + 3) dt + (t – 5)y = tª + 1, y(-1) = 7. Det...

A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ;       y(-1)=7

Q: (In x)2 23. dx

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Q: A savings and loan association needs information concerning the checking account balances of its loc...

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Q: (c) S /2x – x² dx

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Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: Solve the equation. (3xy-3)dx+ (4x y -ydy = 0 ... An implicit solution in the form F(x.y)=C is=C, wh...

A: Please see the below picture for detailed solution. 

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Q: a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find ...

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

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Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: Let f(x)={x2+2x+1, if x≤3 ax+b,if x>3 Find a and b such that the function f(x) is differentiable e...

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Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx

Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

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Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: Direction: Find the derivative of the function. y = -z² + 3 Select one: O y' = -2x O y' = 2x O y' = ...

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Q: 5. Using the FOUR-STEP rule in evaluating derivatives, find dyldx in each of the functions given bel...

A: Using the Four‐Step rule in derivatives, to find dydx in each of the functionsgiven below.j y=xx-1k ...

Q: sinxtanx/cosx+1

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: ,if x>2 Find the correct value of bb that makes

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Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Notices Answer four questions only. Degrees are distributed equally to all questions : 00 Evaluate ,...

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