S(7x-2)³ dx = (7x-2)4 + C. 28

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A: We have to find distance between line and given point.

Q: 2. (2xy – sin x )dx+ (x² – cosy dy = 0 %3D

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Q: Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

A: The graph is shown below:

Q: (x + 3)² lim – 9 = 3 2x

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Q: 2. Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 12 in...

A: This question is based on maxima and minima.

Q: 2. Y = (7x + 2)s ;Y"

A: Given : y = (7x³ + 2)⁵

Q: The differential equation x(3xy-4y +6kdx+(r' – 6x²y² -1dy= 0 is exact because ÔM ON

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Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

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Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

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Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

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Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

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Q: 33, 34, 35, 36, 37, and 38 The region bounded by the given curves is rotated about the specified axi...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: leta1=2-8=1+1-1+7a2=3-9=2+1-2+7

Q: The size of a certain insect population is given by P(t) = 300e 02 where t is measured in days. At w...

A: Given query is to find the time when population of insects will be 1500.

Q: Evaluate the following functions. 1. lim x² • cos x 4

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = (1/3)x - (1/2)x? - ...

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: 1. Let R be the region in the first quadrant bounded by the curves x = y² +2 and x = 3y. Set up inte...

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Q: 5. f(x) = 2x2 – x + 6 for all values of x | 6. f(x) = 5 at x = 2 х-2

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Q: Suppose that a company introduces a new computer game in a city using television advertisements. Sur...

A: Important point e0 = 1

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D ...

A: As per our guideline we are supposed to answer only three subpart of question you can repost other s...

Q: Use  f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)   (b)    (g ∘ ...

A:

Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

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Q: (x+1 4. lim f(x) = {(x - 4)2 +3 if x <4 if x 24 ズ→1

A: Given: fx=x+1, if x&lt;4x-42+3, if x≥4 To Find:  To determine limx→1 fx, then to graph the function ...

Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

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Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

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Q: Find the area bounded by y = x2 – 2x – 3 and y = x + 1.

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Q: Determine C when x=y=0 (xy+ 2)dx = (x'y +x² + y? + (z²y + z? + y} +1) dy %3D

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Q: Evaluate the piecewise defined function at the indicated values. f(x) = 5        if x ≤ 2           ...

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Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: 19 please

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Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: Let а 3 (1,0, —2). 6 = (3, 1, –1). č = (1,0, –1). - Find the triple scalar product ā o (b × č), and ...

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Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. - n→+∞ n

A: follow next step

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: dy y - 5a- da 3x2 + 2x = 0 %3D 2y = 5x + 6z² - 4x In a + cr 5y = 2a + 4x-6z In a+ ca %3D Option 1 O ...

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Q: Determine the slope of the curve x² + y? – 6x – 4y – 21 = 0 at the point (0,7). - а. 3/5 b. -3/5 с. ...

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Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

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Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

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Q: dy Determine or y' of the following functions in terms of x. dx y = /x + JxT A. y- (++)" В. y = (x +...

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Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the definitio...

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the ta...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

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Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their d...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: P15

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Q: 4) lim 12x – 1| x--2 -2- -2+ f(x) f(x) -2.5 -1.5 -2.1 -1.9 -2.01 -1.99 -2.001 -1.999 -2.0001 -1.9999

A: 4)limx→-22x-1

Q: Suppose z = a? sin y, x = 2s² + 3t², y = 4st. A. Use the chain rule to find az and dz as functions o...

A: