Find the derivative of the function. y = cot² (sin 8) y' = -2 cot sin (0) csc (sin(0))².cos(0)

Q: -5-4-3 -2 -1 4 3 2 -3 -2 -1 □0 01 4 + -2 3 4 2 3 Select all the points at which the graph above is…

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Q: (7) Consider a particle moving along a straight line whose position function is s(x) = 4t - t2,…

A: Consider a particle moving along a straight line whose position function is , where s is in feet and…

Q: Find the limit. sin(2x) lim X→0 9x

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Q: Problems 3-7, use derivatives to find the critical points and inflection points. f(x) = x³-9x² +24x…

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Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: Calculate the derivative using implicit differentiation: x4w + w8 + wz2 + 9yz = 0 dw/dz =

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Q: Write the function as a product of linear and irreducible quadratic factors, all with real…

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Q: 3. §13.3. Q43. We have function: (a). Find fr. (b). Find fy f(x, y, z) = z ln (r²y cos z). 2 (c).…

A: Given

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A: Given some properties of function to draw a graph of function f(x)

Q: Find equations for two lines through the origin that are tangent to the ellipse x² − 8x + y² + 5 =…

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Q: Use the given graph of the function g to find the following limits (Note that if a limit does not…

A: Using the given graph we can find all the required limits

Q: 2. fe²sin z dz

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Q: A particle is moving along the curve whose equation is Enter the exact answer. Assume that the…

A: A particle moves along the curve .The -coordinate is increasing at the rate of  units when the…

Q: Answer the following True or False. Sa 1 CSC x dx = ln(cscx) + C O True O False

A: The given problem is to identify whether the integral  trigonometric expression is true or false.

Q: Find the derivative of y = x².

A: y = xx

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A: Here we have been given the length of side of equilateral triangle. The rate of water flow has been…

Q: Use the Chain Rule to find dw dt 3 t 11/23 " where w = sin 8x cos 3y, x = and y=t5.

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Q: Use the Chain Rule to find dz dt = " where z = 2x cos y, x = t4, dz dt (Type an expression using t…

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Q: 8. Use logarithmic differentiation to find the derivative of cos² (x) r +1 g(x) = 21

A: Given, we know that ,

Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP…

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Q: If ƒ"(x) = x²(x − 3)(x + 5)³ then ƒ(x) has a point of inflection at Select one: a. x = -5₂ x = 0 and…

A: given

Q: 27. y = x²(1 - In x²)

A: To find the derivative of the following function.

Q: 41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP…

A: We have to find the perimeter of the trapezium and find the value of the angle that maximizes or…

Q: *+ 16xy + y^: 4x³ + 16y = 0 4y³ + 16x = 0 x³ y = / 7313

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Q: (e) y = x ln[lnx]

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Q: Find the derivative of the function. y = Xx x + 3

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Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1,4]. -0.5 4 3 2- 1 0 Y…

A: to find the area between the curve x=1/y^2 and y axis in tge interval [1,4]

Q: 6. Find the approximate sum of the first 8 terms of the geometric series defined by a₁ = 1.8; r =…

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Q: Find the limit. lim 0 0 cos(0) 1 sin(0) -

A: Explaination of the answer is as follows

Q: 41.y= 2x 4x - 3

A: we need to find out the derivative of the given function.

Q: IV CALCULATIONS; ROUND TO THE NEAREST WHOLE NUMBER Order reads: Ancef 1 gm IVPB in 50 mL D5W in 30…

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 2…

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. 3 f(x) =…

A: we need to find out the intervals where the function is increasing and the interval where the…

Q: Find the following using the table below. X f(x) f'(x) 4 g(x) 1 1 2 3 4 1 2 3 4 2 3 1 4 3 2 ال لا 4…

A: The Product Rule:The Quotient Rule:The Chain Rule:

Q: Find the value of the summation. 10 Σcos(mk) = k=0

A: The given series is

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A: To find an equation of the tangent line to the following curve at the point .

Q: Evaluate the integral using partial fraction method J (3x²+2) dx (x + 2) (x² + 4)

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Q: 4. a. b. A spherical balloon is being inflated. Find the rate of change of the volume with respect…

A: A spherical balloon is being inflated.(a) To find the rate of change of the volume with respect to…

Q: We can now find the limit of In(y) by multiplying the numerator and denominator by x². 9 -…

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Q: 21. xy = 7; (1,7)

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: According to the Bartleby guide line we only do the first part.Given, .For critical points put…

Q: 4. / Зг 23 + 2x² - 5 - 6 dz

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Q: Evaluate 1³e¹² dt.

A: Using integration by parts we can find the integral.

Q: Evaluate the integral [(2x + 7)(x² + 7x + 2)² dr by making the substitution u = x² + 7x + 2. + C…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). y = x^e-x y =

A: to find the tangent line at (1,1/e) to the curve y=(x^4)(e^(-x))

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A: Consider the function Point

Q: defines a curve named as the Folium of Descartes. In equation x² + y² = 3 xy (a) Use implicit…

A: The equation of curve is

Q: Find dy / dx by implicit differentiation. 5x2 = 2 xy + 2x + dy / dx =

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

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Q: Find the area of the region bounded to the right by x = -2y and to the left by x = y². 2- + 543-2 3…

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