A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 20 ft 4 ft

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: R be the region bounded by the functions f(x) = -4x2 + 10 and :) = 4x +2 as shown in the diagram bel...

A: Given query is to find the are bound by the curves.

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Determine the open intervals on which the graph of the function is concave upward or concave downwar...

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Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

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Q: Detersmine it the following ースメー4 fernetion is eontinuas at 2 f(x)=f2x²2x X-2 if メ=2 If y= vã (x-1),...

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Q: Find f. 3 f'(x) = 1 - x? f(x) =

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Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: Y (x2 + 2x + 1)+ V1-y = 0 has a solution of the form g(y) + f(x) = C. Find the constant C which sati...

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Q: (x2 - 4x + 4)4/3 dx -

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Q: Find the directiona f(x, y) = x³ – y³, P(4, 3), v = (i + j)

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Q: Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x...

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Q: 1.) A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Fi...

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Q: . Set up an iterated integral for the volume of the solid in the first octant bounded by the surface...

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Q: 3. A jar sauce. How many cups of spaghetti sauce do 4 jars contain?

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Q: Determine the homogeneity of the following function x^3-xy+y^3

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Q: The boundary of a lamina consists of the semicircles y = V1 - x2 and y = V25 - x2 together with the ...

A: We have to find center of maas of the lamina. 

Q: Let R be the region bounded by the functions f (x) = 3x2 as shown in the diagram below. Find the are...

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Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

Q: 2v in Given vector U= (2,5) and v = (1, –3) , determine the value of u component form.

A: Topic:- vector algebra

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: 3-4 Change from rectangular to cylindrical coordinates. 3. а. (4,4, —3) Answer + b. (5/3, –5, v3) An...

A: To Convert Rectangular coordinates (x,y,z) to Cylindrical coordinates (r,θ,z) :           As x= rcos...

Q: n+1 24. 2n +3 n=0

A: Given query is to find the series converges or diverges.

Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t on...

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 0 = 150°

A: Given, theta= 150° Coterminal angles are the angles that have the same initial side and share the te...

Q: 31, Watch help video he functions f and g are continuous and differentiable with (x) = g'(x). Select...

A: Given query is to find the value of g(2).

Q: 2. 10, 11, and 12 a. Express the triple integral /// f(x, y, 2) dVas an iterated integral for the gi...

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Q: 1) Analyze and sketch the function f(x) = -x* - 2x + 5x2 %3D

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Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact number...

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Q: Determine the coterminal angle of 0 that is in the interval [0, 27) 307л 0 = 3

A: The answer to this question can be obtained by changing the angle in radians into degrees and then d...

Q: Find a particular solution y, of the differential equation: (a) 2y" + 4y' + 7y = x2 (b) y" + 9y = 2 ...

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Q: 10. f(x) = cos (2x)e*²-1

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Q: y² – 2x ry? dy = 0; y(-1)

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Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: 8. When is the function concave up or concave down? Where are the inflec- tion points? y= a e Ct

A: The function is concave up in (b, d) U (f, g)

Q: 3. Find the area of the region that lies inside both curves: r = sin 0,r = cos 0 0.8 0.6 0.4 0.2 -0....

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Q: Consider the function f(x) = 4z 5x on the interval- 2, 2. Find the average or mean slope of the func...

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Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

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Q: P that is orthogonal to the vector AB. . B e distance from the point P(-3,1,9) В(-2,3, —4).

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Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: 5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec. The road is x feet wi...

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