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Q: Use logarithmic differentiation to find the derivative of f(x)=(3x+1)4  .(x-4) ÷(x2 +1)3 .sin x

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Q: The figure below represents the function f:x-y Previous X Y 4 00 7 8 10 10 13 Find the value of…

A: We need to find out the inverse f-1(4)

Q: 1 5 6 7 8 Previous y 6 S 44 3 24 -6-5-4-3-2-1 -24 031 3 acer -1 Find g-¹ (2). Type your answer...

A: See this solution in below.

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 6x³-4x²+x+7 6x²+2x+4…

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Q: Find all the critical numbers of f(x) = 2x4–4x³+3x² - 7.

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Q: cos (3x) - ² (-3sin (3x)) dx

A: Take the integral to be calculated as I1 and then add it to the original integration.

Q: Compute the divergence and the curl of the following vector field. V = x sin y î+ cos y ĵ + xyk

A: given vector field=xsiny, cosy, xy

Q: A particle moves along the x-axis so that at any time t≥ 0 its position is given by x (t) = te-at,…

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Q: Let y = 8x² 25x Find the differential, dy. Ody=16xe 25x+200x²25x Ody=400xe 25x dx dy=(16xe…

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Q: Determine whether Rolle's Theorem can be applied to the function f(x) = (x+3)(x + 2)² on the closed…

A: Given that the function is         f(x) = (x+3)(x+2)2

Q: Use the Product Rule or the Quotient Rule to find the derivative of the functic y = 7x5 sec(x) y' =…

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

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Q: limx -> 2 (x2/(x-2)2)

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Q: Find all relative extrema of the function. See Examples 1, 2, and 3. (If an answer does not exist,…

A: The given function is hx=-x+73 we have to find its relative extremum. Use the derivative formulas,…

Q: The graph of fis shown. Graph f, f and f" on the same set of coordinate axes.

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Q: Find the first and second derivatives. y = 6x² - 13x - 5x dy dx -0 d²v dx² 4

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) g(2),…

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Q: Tablet Service A monthly tablet plan costs $34.99. Itincludes 3 gigabytes of data and charges $15…

A: Given data:- The given monthly plan cost is $34.99  The given includes 3 gigabytes of data and…

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) 3 f(x) = x² -…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: The product rule gives what derivative for ete-t? This function is constant. At t = 0 this constant…

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Q: 2. Let f(x, y) = 2.xy 3x+2y Give the exact value of the following and simplify to lowest terms.

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Q: Determine if the function f(x)=√x is differentiable at x = -27. If not, identify why. O f(x)=√x is…

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Q: ind the unit vector u in the direction of v = (3, - Give EXACT answer. You do NOT have to simplify…

A: Topic:- calculus and vector algebra

Q: 16i + 12j. Find c π so that the angle between a and b is Let a = ci + j and b Round your answers to…

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Q: Find the derivative of the function. √√5-4 √5 + f(s) = +6

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Q: A rock thrown vertically upward from the surface of the moon at a velocity of s = 16t -0.8t² meters…

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Q: the family of solution of the equation (x-2y)dx+(2x+y)dy=0.

A: We will find the required.

Q: A particle moves along the x-axis so that at any time t≥ 0 its position is given by x (t) = (at)²,…

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Q: Given that the directional derivative of f at the point (9,-9, 4) in the direction of a = 4i-4j-7k…

A: This is a problem related to vector calculus. Please follow the procedure given below.

Q: Find the derivative of f(x) = 2x459x+1. O f'(x) = 8x³.59x+1 +18x4.59x+1n5 O f'(x)=8x³.59x+1In5 O…

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Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

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Q: II. Determine the point(s) of intersection, m, and m, and the angle(s) of intersection of the given…

A: As per Bartleby guidelines we only give first  three question answers. Please repost for other…

Q: Suppose z = x² sin y, x = 18² + 2t², y = −2st. A. Use the chain rule to find and as functions of x,…

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Q: Determine if the requirements for the mean value theorem are met by the 7 function f(x) = 7x on the…

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Q: Find the arc length (s) of the curve r(t) = (15 sin(5t), 2√/14 cos(5t), 13 cos(5t)) for 0 ≤ t ≤ π S…

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Q: Find the angle between the vectors u = (-2, 3, 3). (2, -1, 3) and v =

A: Solve for the angle between the vector

Q: 2. Let f(x, y) = 2xy 3x+2y

A: f(x,y)=2xy3x+2y

Q: e [x² uate cos 3x dx.

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Q: Identify the open intervals on which the function y = 4x-8cosx, 0<x<27 is increasing or decreasing.…

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Q: Find the transform of the given function by use of a table. f(t) = 1 - cos 7t A F(G)-2749 B F(-2+49…

A: As we know that: The property of the Laplace transform: La·ft+b·gt=a·Lft+b·Lgt And Use the Laplace…

Q: Find an equation of the normal line to the parabola y = x² - 6x + 4 that is parallel to the line x -…

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Q: Find the vector component of v = (4, -1, 7) along b = (4, 8, -8) and the vector component of v…

A: We know the expression for the vector component of v along b is: Vector component of v along…

Q: The voltage, V (in volts), across a circuit is given by Ohm's law: V = IR, where I is the current…

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Q: Calculate the derivative using implicit differentiation: dw dz x³w+w³+wz² + 7yz = 0

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Q: Given the vector-valued functions =e=³t+e=³t+ 3tk 3t е (t) v(t) = 5ti − 5t²j + 3k -

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Q: The length, with w, and heighth of a box change with time. At a certain instant the dimensions are -…

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Q: The graph of a function g is given. -3 y 3 -3 3 X

A: Given Graph:-

Q: This set represents O a line O a half-plane, including the boundary O a half-plane, excluding the…

A: Solved below.

Q: the follwing initial value problem. Solve the Write your answer symbolic aly. Include No decimals in…

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