Suppose f(x) = In f'(x) = ex² 862₁). F Find f'(x). (Hint: Apply the laws of logarithms to f(x) before taking its derivative.) (x-6)4,

Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number S .…

A: Determine the point (x,y)(x,y) on the unit circle associated with the following real number S .…

Q: 37) 5 csc² x + 4 csc x - 1 cot 2 x 5 csc x - 1 CSC x - 1

A: Solution is done in step 2

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A: The height of the ball launched in the air after t  seconds is given by ft=-16t2+282t+5 We have to…

Q: 16. Find the "complete" factored form, including the leading coeffi polynomial, g(x), shown in the…

A: We have to write the complete factor form including leading coefficient of 6th degree polynomial…

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Q: Solve (x² + y² + 1) dx + x(x − 2y) dy=0 A B C D x² - y²-1+xy=Cx x²-y²-1+xy=C x²-y²-1-xy=Cx 2 x² -…

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Q: Find the derivative. (e-2x) (x4)

A: Derivative of given function =ddxx4e-2x

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Q: Let f(x, y, z) = xy + z5, x = r + s - 8t, y = 3rt, z = s7. Use the Chain Rule to calculate the…

A: Given; f(x,y,z)=xy+z5, x=r+s-8t, y=3rt, z=s7.

Q: 5 Saturday Find the derivative of the function ых) 4х-7 vitext2

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Q: Let f(x) = 1 x +3

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Q: Find the zeroes of f(x) = x5 - 5x3 + 4x

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: we will find the required.

Q: x^2+12x+37=0 expressed in form a+bi (imaginary)

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Q: 3) [x csc (4)-y]dx + xdy-0

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Q: Determine the x-coordinates of the relative extrema of the function g(x) = 9x5 - 135x³ +28. Enter…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2y Solve (3x²+2) dx + (2x - 4y) dy=0 e A B 2 2y x+xe D xe ²y = 2y² = C r3+xe ³y – 2y³ = C 3y © x³ +…

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Q: 3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² – 9x - 36

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Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

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Q: 1. Find dy dx . Do not simplify. (a) cos (x + √) + tanh-¹ (sin² a) = ln 3+ y sech (b) y = (x - √e)…

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Q: dy 1. Find Do not simplify. da (a) cos (x + √y) + tanh-¹ (sin² x) = ln 3+ y sech (b) y = (₁). x² (x…

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Q: 2. The radius of a right circular cylinder is increasing at a rate of 2 inches/min and the height is…

A: r= 8 inches, h= 12 inches, dr/dt= 2 inches/min and  dh/dt= -3 inches/min

Q: Find the tangent line to the implicitly defined curve y³ + 3x²y + x³ = 5 at (1, 1).

A: Given:     y3+3x2y+x3=5Differentiating both sides we get the following.⇒dydx=-xx+2yx2+y2 At (x, y) =…

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A: Given; f(x)=x2-2, x1=1.4.

Q: ∞ k Στα 100 k=1

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Q: dy dx. √sin(xy) + 1 0 JJ h soɔ (hx)soɔ h 7/1²

A: Let's evaluate integral by using Fubini's theorem.

Q: 5. Let f: A B be a function. Define a relation on A by a₁ ~ƒ a₂ ⇒ f(a₁) = f(a₂) for all a₁, a2 € A.…

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

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Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

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A: x= 5 ft  dx/dt= 4 ft/sec

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Q: 2) Let the function g be defined by g(x) = 5x²-3x-2 for all real numbers x € (-∞, ∞). 2x²+3 This…

A: We need to find critical points.

Q: III. Find the equation of the tangent line to at the point (,0). ge* +cos r = sin r+sinh(2 F

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Q: LEM 1: Determine the number of derivatives required for the functions to be equal to zero. y(t) =…

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Q: Use the definition to find the derivative f'(a) for f(x) = x+2 √x and a = 3

A: Given, f(x)=x+2x   Find derivative using definition at point a=3

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: The function is given by fx = x45, a = 32 To evaluate: The linearization Lx of the function fx.…

Q: Example 8: Find the vector v of the length √5 extend along the line through A(0,0,4) to B(2,5,0).

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Q: what is the volume of the solid generated by revolving the region bounded by x=6y-y^2 and x=0 about…

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Q: Consider the following. fx sec²(t) dt (a) Integrate to find F as a function of x. F(x) = F(x) = (b)…

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Q: ????? ?ℎ? ???????? ????????, ?(?) = -2x^2+4x+30/x^2-3x-10 a. Rewrite the function in factored and…

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Q: Find the derivative. (e-2x)(x4)

A: Topic = Derivative