Find the divergence of the vector field F. F(x, y, z) = In(7x²+ 8y²)i + 56xyj + In(8y² + 3z²)k F(x, y, z) =

Q: Solve the DE with Linear Coefficients (16x+5y-6)dx + (3x+y-1)dy = 0

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Q: " x² cos(3x) dx find u, v and then find the answer.

A: Given query is to  find the integral.

Q: x² e2x dx find u, v and then find the answer. S ومح

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Q: 2x + 9 . For this function there are two important intervals: (-∞, A) Consider the function f(x) 3x…

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Q: Evaluate the triple iterated integral. 2 [² [²xyz³ dx dy dz 1

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Q: equation (e^x sin y + tan y)dx + [e^x cos y + x sec^2 (y)]dy = 0 when y(2) = π/6 ? Round off your…

A: Given differential equation is (ex siny +tany ) dx+(ex cosy +xsec2y) dy=0   ; y(2)=π/6

Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

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Q: The function f(x) has a domain of (-∞, -1) u (-1, ∞) and a second derivative given by the following.…

A: Topic = Functions

Q: Find the limit using I' Mopital's Rule where appropiate. net, the some way ele several times). (IF…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 4. Find all local maximums and local minimums for f(x) = x³ - 2x² + x - 1.

A: We have given function fx=x3-2x2+x-1 Derivative of the function is given as f'x=ddxfx…

Q: omplete the table. y = f(g(x)) y = (2x - 8)² U= u = g(x) y = f(u) y = 4²

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Q: Given the series: k 3 Σ2. (2) 11 k=0 does this series converge or diverge? converges diverges If the…

A: The objective of the question is checking the series and determine its sum.

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: 3 Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: Given: Drum Tight Containers is designing an open-top, square-based, rectangular box that has a…

Q: On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial…

A: we need to find out the differential equation.

Q: x+2 find the absolute maximun and absolute minimur value of the following continuous function on the…

A: To find out the absolute maximum or minimum.

Q: x²-2x Find all pertinent information and sketch the graph of f(x) = x²-4 Find all asymptotes: HA:…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter r(t)-9 cos(t) +9…

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Q: 3. Evaluate the following integral COS X | sinx+cosx sin x + cos x O a. In\sinx + cosx| + C O b.…

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Q: π Find the equation of the tangent line to the curve y = 2 sin x at the point The equation of this…

A: We can find the slope at the indicated point in the below steps.

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

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Q: c. What was the mean change your answer using bar notation. 13 - 4.93. 50 6.) a. Describe two ways…

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Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: HE W. Solve the following.. 3..... 2 X). X + Xdy - where you.....

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Q: on the following multiple representations, label and explain key features in context Tile Pattern…

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Q: Find the equation of this quartic that goes through the point (0, - 2). ا 3 2 1+ 0 -1 2 -5 -x

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Q: Find the limit algebraically. lim h→0 f(1 +h)-f(1) h where f(x) = -9x² + 4x - 4

A: To evaluate the limit.

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 4. Solve the given integral [(2x²-x₁ xe*)xdx 2: O a. 2x² In 2 4x2 O c. In 2 30x³ +C +3e+³ +C 2x² 1 -…

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 4. ( sin(x)+1 x 05x+e+(x−1)² a. lim b. lim x-0 c. lim x-1 tan(-x) 2x sec(x + 4) = √2x+2-2 1-√√√x >…

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Q: Find the equations of the lines tangent to the curve: 2e^x = y^2 − x, at x = 0.

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Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 6+ 5 3 N A + 5 6

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the…

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Q: Apple music subscription fees for $10 a year. After paying a subscription you purchase 4 items your…

A: To describe a linear function which relates the cost with no. of songs purchased.

Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: Consider a trapezoid that has a constant area of 300 cm². The height of the trapezoid is increasing…

A: Consider a trapezoid that has a constant area of 300 cm2.The height of the trapezoid is increasing…

Q: Let f(x) = x¹/3(6x + 7)2/3. Find f'(x) and the critical numbers for f. f'(x) A = 18 B = 7 C = 2/3 D…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Topic - Application of derivatives We are given Cardboard of dimensions 19 in. by 11in.andwe know…

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Evaluate the following integral. * 1 π/4 SSS sin sin ™X sin 2y sin z dy dx dz 0 0 0 X 1元/4 SSS sin…

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Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: Use a double integral to find the area of the cardioid r = 6 - 6 cos 0.

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Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: Find dx 11 for y = 9x2 sin x + 18x cos x – 18 sin x. dx

A: Finding the derivative of y

Q: 16) Write a possible expression for a rational function, whose graph is below: 4 Y 3 2 1…

A: see below the answer and explanation

Q: Find the present value of an ordinary annuity with deposits of $15,125 semiannually for 6 years at…

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