Find f"(x) for the function. f(x)=(7x^2-2)^6

Q: F(x,y)= 4xy-x^3-2y^2 C. Find the relative minimum and maximum values of F SHOW ALL WORK!!! thank…

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Q: Q12) If f(x)= In(-5+x), then the domain of f(x) is (a)x>0 (b) x 5

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Q: The following figure gives the graph of the derivative of a continuous function f that passes…

A: answer is in next step .

Q: Find the following for the given equation. r(t) = (e¯t, 3t², 6 tan(t)) (a) r'(t) = (b) r"(t) = (C)…

A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

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Q: A solid is generated by revolving the region bounded by the following about the y-axis. y = y = 8 A…

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A: Here, the region bounded by the curves y=x2, y=0, x=3 is:

Q: Given the graph of f' below, which of the following is (are) true about f at x=a? (a) f is…

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Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: Question 4 Which among the choices is not true about the continuity of f(x)? if x 1 -{₂ f(x) = x²,…

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

Q: 1 rastr L²s² 2,2

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Q: Find ▼ · (V × F) if F(x, y, z) = 8 sin xi + 8 cos(8x − 9y)j + 10zk. V · (V × F) = [

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Q: Determine whether the following series are convergent of divergent. If it is convergent, find its…

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Q: 5. Use Newton's method to find all four solutions of 4z cos(2r) - (r-2)2 = 0 in [0, 8 accurate to…

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Q: f(x, y) = x³ - 9xy + y² - 2 smaller y-value critical point classification larger y-value critical…

A: The given function is fx,y=x3-9xy+y3-2 we have to find the critical points and its classification

Q: Find the unit tangent vector T(t). 16 r(t) = t²i+tj+k, P(16,4, 16/3) T(4)= Find a set of parametric…

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Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

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Q: y'+y=e-6 cos St, y(0) = 0

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Q: Using the given graph of the function f, find the following (a) the intercepts, if any (b) its…

A: Given graph:-   To find:- Using the given graph of the function f, find the following(a) the…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: O O 01 lek 0 Question 20 f(x) ²-1 on (0,] is given. Find the Riemann Sum with 3 subintervals using…

A: The given function is: fx=x2-1 on 0,32 Find the Rieman sum with 3 subintervals using the right…

Q: Use the table defining f and g to solve: NOTE: Write Does not exist if the value does not exist. a)…

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Q: D O 413 O 02 00 Question 5 04 Evaluate the limit limo tan(+h)-tan() h by recognizing it as a…

A: limh→0tanπ3+h-tanπ3h   The definition of the derivative of a function f(x) at x=a is given by:…

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Parametric Equations X = 3t², y = 3√t 54m 12 Jse a graphing utility to approximate the integral.…

A: The solution is given below

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 Inches above the…

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Q: final

A: Please refer to the image below

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

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Q: Calculus Question

A: Given data:- From the above figure we can observe that, C'D'=4 unitsA'B'≈1.3 unitsCD=12 unitsAB=5…

Q: Answer true or false. If f is not piecewise continuous on  [0, ∞>),  then  ℒ{f(t)}  will not exist.

A: Given problem:- If f is not piecewise continuous on [0, ∞),then ℒ{f(t)} will not exist.  True…

Q: A particle moves along a line with a velocity v(t) = -t² + 3t - 7, measured in meters per second.…

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Q: y=x5 to f(x)= 5/96(x+2)(x-1/2)(x+1)3.   The mapping rule involves transforming the y=x5 table of…

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Q: Write the linear regression equation that represents this set of data, rounding all coefficients to…

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Q: Sketch both parametric curves below. Then determine if they intersect they intersect, find the point…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: We have to find the interval on which the vector-valued function  rt = 13t+1i + 1tj  is continuous.

Q: Problem 4.14 Find f if 3 f"(x) = 20x³ - 12x² + 6x

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Is the answer to this question 2pi.

A: To explain that the given answer is correct or not.

Q: Question Find the equation of the tangent line to the curve defined by the equations * = exact…

A: Here we have to find the equation of tangent line.

Q: Use the formal definition of the derivative to find f'(x) is f(x)=x²-4x

A: See the details solution in below

Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

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Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

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Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

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Q: and the first partial derivatives of the function. f(x, y) = 4y

A: Given the query is to find indicated partial derivative.

Q: Use the method of your choice to find the volume of the solid generated by revolving the region…

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Q: Evaluate the line integral [(x + 7y)dx + (2x − 3y)dy along the curve C: x = 4 cost, y = 8 sint (0…

A: line integral

Q: license plate must contain 3 numerical digits followed by 2 letters. If the first digit cannot be 0…

A: We will find the required.

Q: [ª* z² cos(4x) dx =

A: We will  integrate the expression.