Find the derivative

Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

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Q: Find parametric equations of the line that contains the point P(2,-1,-2) and intersects the line L:…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9…

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Q: The graph of f(x) is given on the grid. Graph ƒ'(x), its derivative. 5- -5 -4 -3 -2 -1 3 2 1 -1 -2…

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Q: A company charting its profit notices that the relationship between the number of units sold, and…

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Q: 8. A bead slides down the curve xy = 10. Find the bead's horizontal velocity at time t = 2 s if the…

A: given  xy=10geight, y=400-16t2horizontal velocity=dxdtd dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd…

Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

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Q: Find the cross product a x b. a =j+ 6k, b = 2i -j + 5k Verify that it is orthogonal to both a and b.…

A: The given vectors are: a=j+6k, b=2i-j+5k

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: We have to find the rate of change of volume.

Q: Let f(x) = 3x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: 7. Compute where x² + y² = 10. x y 0-4 x O-100 dx2 O 100 y³ ONone of these.

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Q: Use Lagrange Multipliers to find the maximum value of f(x, y, z) = 2x + 2y + z, subject to the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Please see the below picture for detailed solution.

Q: Find the polar coordinates, 0≤0 < 2π and r≥0, of the following points given in Cartesian…

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Q: b) y = 8 + 1 4x² on [1,2]

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Q: Find the inflection point for the function shown below. If there are more than one, be sure to…

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Q: Suppose the function f(x) has a domain of all real numbers and its derivative is shown below. f'(x)…

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Q: For the following graph, identify the points where the local and absolute maxima and minima occur.…

A: From the given graph we can conclude as

Q: I. INTEGRATING FACTORS BY FORMULA 2 1/2 x 2x/x-2

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Q: Consider the function f(x, y) = 2ye7 and the region R = {(x, y)|0 ≤ x ≤ 1, 0 ≤ y ≤ x³}. (a) Find the…

A: The solution is shown below-

Q: Find y" by implicit differentiation. 2x³ + 5y³ = 2

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Q: 1. Use an appropriate substitution to solve these four ODES: (a) dy dx = x + 3y 3x + y

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Q: 6. Compute dy where xy = dx cos(x+y)-y x cos(x+y)+y x cos(x+y)-y x-cos(x+y) cos(x+y)+y x+cos(x+y)…

A: The equation is given by xy = sinx+y To determine: The expression of dydx.

Q: Evaluate each of the following. Show a hand written solution

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Q: E) y = 3x² ln(x)

A: Given :

Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &amp;(-3,-1) For detail...go through the solution...I have…

Q: Evaluate each of the ff: In (-atari (e in (tone) do tanl cos²0 1. -2

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Q: 1) Find the radius of convergence for f(x) =(-1)^4+1 ²n+1 n=0 4n+2

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x³ + y³ = 6xy…

A: given equation is x3 + y3 = 6xy – 1   Rule: ddxxn=n·xn-1

Q: Find the 36th derivative of f(x) = cos3x. Enclose arguments of functions in parentheses. For…

A: f(x)=cos(3x)d dx(sinx)=cosxd dx(cosx)=-sinx

Q: How many critical points does the function f(x) = 8sin2 (3x) have on the interval (0, π)? Provide…

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Q: A) 77. Shown above is a slope field for which of the following differential equations? dy x-y dx y…

A: The answer is in step2.

Q: Use the graph of the function f(x) shown below to answer the questions. -3 -2 -1 Determine the x…

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Q: Assume fis differentiable and has just one critical point, at x = 3. In parts (a)- (d), you are…

A: Given, f(x) has only one critical point and that is x = 3. therefore, f'(3) = 0.

Q: Solve the equation y' - y=f(t), y(0) = 0 0 1 Be sure to supply all the steps that leads to your…

A: The solution is shown below-

Q: Determine the open intervals on which the graph is concave upward or concave downward. f(x) = x² + ²…

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: As we know that, To expression to calculate the equation of the plane when it passes through the…

Q: Find the cross product a x b. a =j + 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: 5. f(x) is a continuous function. Use the information summarized below to sketch a graph of f(x). y…

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Q: Find y' a) y = 2 tan (x) + 9 cos (x) y'= (b) y = 5 cos (x)= 4 x ² 'y'= c) y = y sin (x) = tan (x) -…

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Q: Consider the function g(t) = = t 7+t²

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Q: Sketch the region of integration and evaluate the integral. 3 x² S S - 2x dy dx

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Q: 1. Find the length of the arc of the curve y = 2²/23 (3x − 1) ³ from x = 0 to x = 7 33

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Q: Consider the region bounded by the graph of f(x)= 3 1 + x² and the x-axis between x = 0 and x = 1.

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Q: At 1pm a bicycle is 9 ream shop travelling the ice cream shop) mpn. At the same time, another bike…

A: Given : after t hr , distance travelled by A = 15t miles  distance between A and C = 9 - 15t…

Q: Suppose the point (4, -7) is on the graph of y = f(x). Find the corresponding point on the following…

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Q: Assume y = f(x) is defined everywhere. Suppose the point (12, -3) is on the graph of y = f(x). Use…

A: For an even function:f(-x)=f(x)   For an odd function:f(-x)=-f(x)

Q: 3 (a) Find the intervals of decrease or increase, (b) find the local maxinum and minimum values, (e)…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…