Evaluate the following: 1. S(6x² – 4x + 1) dx

Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: V-x – 2 – V3 te lim x--5 -x - 5

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

A:

Q: 4. Given that r(t) = cos ti + sin tj + In cos tk Find the curvature k and vec- tors T, N, B at the g...

A: Find curvature at t=1

Q: 13. Find the solution set of c) 2x? – 3x – 4| < 5 Зх — 4| <5

A:   The given inequality is 2x2-3x-4≤5. Absolute Rule: If x≤a, a&gt;0 then -a≤x≤a.

Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

A: We are asked to  find the inverse of the function.

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

A:

Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

A:

Q: Solve dy Зу - 4х dx x-y – 2x = C 2x* + x-3 y = C 4 x-3y – 2x-2 = C 2x2 + xy = C -3

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Q: Use the second fundamental theorem of calculus along with the chain rule to find d sint dt dx 1 o si...

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Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list.) х- у х-z y - w (х, у, z, w)...

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Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Given: A dingly is pulled toward a dack by a rope from the bow through a ring on the deck 8 it above...

Q: 3. lim (3 Vx + 9/

A: This is a problem related to limit of the function. Based on the general formula of limit or using L...

Q: Using the graph find the following: (6.5) a. lim f(x) e. lim f(x) X-4 (4.2) f. lim f(x) (2). (6.2) b...

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Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)

Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of...

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Q: Evaluate and graph the following: 1. lim(4 x) X-2 (x²-2x-3 lim 2. 海() x-3 x-3

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Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² + ...

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: x'e-2x dx 20 dx 2

A:

Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: Which of the following is the particular solution to the differential equation 2ydx + 3xdy = xy³dy w...

A: This is a problem related to differential equation. There is so many concept and formula available f...

Q: ーX- 3, -3x2 + 2x - 3, x> 1 x< 1 f(x) = %3D Determine which of the following statements are true. Sel...

A: We will find left hand limit (L H.S.) and right hand side (R.H.S).

Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

A:

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Suppose f(x)=-3x2+2x+2 and a position of particle is moving by s(t) at time t such that: a)Find po...

A:

Q: Given the following real-valued vectors, find the length of arc, n the indicated values of t. 1. F()...

A: As we know that; The expression for the length of the vector-valued curve; L=∫abdxtdt2+dytdt2+dztdt2...

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: Given query is to find horizontal and vertical asymptot for the function.

Q: Find the area of the region bounded by the curves y = x, x = 1 and y = 0. %3D A. 1 В. C. 1 3 D. 1 4 ...

A: Area = integration of upper curve - lower curve and put the limits.

Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of Alg...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: The deviation of each observation (y) from the mean of the response variable is negative for every p...

A:

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: 16

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Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

A:

Q: get

A: We will find the rate of change of value. 

Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: Find the exact value of the following trigonometric expression: .2 tan? o - sec? o = Submit Question...

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: Solve (x – y)dx + (3x + y)dy = 0 with the condition: y(2) = –1 O (2æ + 4y) – (2x + 4y) ln(2x + 4y) =...

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Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

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Q: f(x+h)-f(x) mplify the difference quotient for the given function f(x) = 7x - 3x+2 x+h) - f(x) (Simp...

A: Per are asked to find the difference quotient