Find the derivative of f (x) = ln x² sin x 2x+1

Q: 7. Graph the piecewise function. f(x) = = 2x -2 (x²²=2 ) if -3 ≤ x < -1 ; if = 1 ≤ x Zo if x=0

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Q: Consider the following. 10 5 *1 -10 5 -10 Find an equation for the hyperbola. Find the foci and…

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Q: Let f(x) = (a) Find f'(x) = (b) Find f'(x) = = x4 - 162x² 11 (c) On what interval is f increasing?…

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Q: 3.)

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Q: Q3: Find x(t) = ?, for the following Differential Equation [*(t) + 4x(t) + 3x(t) = 9], where x(0) =…

A: The given DE is,The auxiliary equation is,For the two real roots, the complementary solution is…

Q: True or false: If f has a derivative at x = 2, then f is continuous at x = 2.

A: To determine whether the following statement is True or False.If has a derivative at , then  is…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, 2), (0, 10),…

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Q: Test the series below for convergence using the Ratio Test. n+ 5 22n+4 n=1 The limit of the ratio…

A: The ratio test:

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A: We have given the graph of a function and A(x) is the area bounded by the graph from t=0 to t=x.…

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Use Newton's method with initial 1 ₁ = 2 to find the 3 to the root of the equation approximation…

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Q: Suppose that R is the finite region bounded by f(x)=√x and f(x)= =√x and f(x) = 3 Find the exact…

A: Find the point of intersection between two curves:

Q: 3 The function f(x) = √(x − 1)² does not satisfy the conditions of the Mean Value Theorem on the…

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Q: If csc z = 4, 90° < x < 180°, then sin cos tan

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Q: Let y = f(x) be given by the graph below: -6 -5 -4 -3 -2 -1 -4 -1 02 6 04 3 1 Out of the options…

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Q: Improper Integrals, Infinite Limits of Integration: Integrals may have infinite limits of…

A: The given integral converges.

Q: Find dx/dt, dy/dt, dy/dx for  x=9t-9ln(t), y=6t^2-6t^-2

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = [(x6 + 5)7 + x]7

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Q: For the series compute the partial sums: k! k2

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Q: Find a formula for the nth term of the following sequences: а (a) ... an (b),,,... bn Assume a…

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Q: 5. Evaluate the following expressions: A. (10+j6) + 10 Z-30 - 10/30 5 - j10 j4 B.62 - 120 + C. 10+j5…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: To determines the concavity of f(x), find the sign of the second derivative If f′′(x)&gt;&gt;0, the…

Q: The rate of depreciation dv/dt of a machine is inversely proportional to the square of t + 1, where…

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Q: e. 4x + 11 +8 > 16

A: The absolute value of a number is it's distance from zero. Since distance is always positive or…

Q: Find the interval in which the function is X decreasing f(x) = 2²+4 ○ (2, ∞) O (-2,2) ○ (-∞0,00) O…

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Q: Write S = Σ n=5 SN = S = 1 n(n-1) as a telescoping series and find its sum.

A: The given series is the summation of 1 /[n(n-1)], n from 5 to infinity.

Q: cos2(t); X = sin(t), y = cos اته انه |N

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Q: The graph below shows the velocity of an object (in ft/sec) as a function of time t (in seconds).…

A: We will find the displacement.

Q: Suppose the temperature in degrees Celsius over an 8-hour period is given by T(t) = -t² + 7t+32. a)…

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Q: K Find the area under the graph of f over the interval [3,6]. f(x) = 6x +7, 3 52-2 for x ≤ 5 for x>5…

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Q: Which is a rule for a quadratic function represented by a parabola with a vertex at (-1,-3) that…

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Q: Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on [c, oo] for some constant…

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Q: Please help me with this question.

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Q: Suppose that p(x) = anx" converges on (-1, 1], find the interval of convergence of p(6x - 4) . x= to…

A: If a series P(x) converges on the interval (−1,1], we can determine the interval on which the power…

Q: (8) Find the value of c guaranteed by the Mean Value Theorem for f(x) = 2/²/²/1 I [3, 5]. (A) 1+ 2√2…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (a) What is the equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0, 0,…

A: We find a) The equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0,0,4).b)…

Q: Recently, a certain bank offered a 5-year CD that earns 2.34% compounded continuously. Use the given…

A: Principle amount(P) = $40,000Time of investment (t) = 5 yearsRate of Interest (r) = 2.34%

Q: If cos 22.5° = √A + √B, then, by using a half-angle formula, find A B =

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Q: Let f (x) = x³ - 5x² + 3x - 12. Find the following values. ƒ' (0) = f' (1) = f' (-2) = Jal In 3

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: to find the open intervals wheref(x) =(x-6)/(8x+7)  is concave upward and concave downward.

Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

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Q: 2 (0,2) Endpoints: 1 Relative min point: Absolute min point: Relative max point: 3 (4,4) (5,0) 5 X…

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Q: Find and classify the critical points. 12 H(£,y)=re +y* – 12,

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Q: series converges b) absolutely and c) conditionally 72=1 (n + 1)(2x + 1)n (2n + 1)2n

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Q: Given the function g(x): = 3x - 2 X 2 a) Find the interval on which g(x) is increasing/decreasing;…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: The mass of a length of wire is m(r) = x(1+2√7) kilograms, where r is the length of the wire…

A: The mass of a length of wire is  given by

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

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Q: . A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a…

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Q: Find the average height of the paraboloid z = x² + y² over the square 0≤x≤2, 0≤y ≤ 2.

A: To find :-The average height of the paraboloid  over the square