x² – 21x + 54 - lim x → 3 х — 3 - II

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: 4. The equation y = c, e2* cos3x +C, e²% sin 3x is a solution of what particular differential equati...

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Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy - 4y...

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th ques...

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the ...

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Q: If two coins are tossed, what is the probability of obtaining at least 1 head?

A: Given two coins are tossed let H denote the head on coin  and T  denote the tail

Q: Find the area of the region bounded by the graphs of the equation y = x and y= x².

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Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b. (x-y+...

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each axi...

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Q: Given the vectors ā = (2, – 1, 3), b = PQ where P(1, 1, 1) and Q(5, 1, – 1) and Ĉ = i + j + 3k. Find...

A: It is given that, a→=2,-1,3, b→=PQ→ where P(1,1,1) and Q(5,1,-1) and  c→= i→+ j→+3 k→ a) 7b→-3c→b) T...

Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: Compute gcd(2365, 7683).

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Q: 2ах — х e la dx Use gamma or beta laws

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Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b....

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Q: . Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is % of the ...

A: This is a problem of profit and loss. Based on the general formula we will calculate all the three s...

Q: x +4 x³ + 2x

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

A: Given four coins are tossed. So the sample space={HHHH,HHHT,HHTT,HTTT,TTTT,HHTH,HTHH,THHH,TTTH,TTHH,...

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = |cos(÷)y, -2 ...

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Q: cos (In4x2) dx

A: Topic:- integration

Q: Problem 1. Find the critical points of the following functions and clasify them (*) a) f(x, y) = x l...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: coth v csch v dv 0.1

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Q: What Have I Learned So Far? the letter of the correct answer on the blank. (-2.x, xs-2 1-x²-1,1>-2 1...

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Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: The function g is related to one of the parent functions described in an earlier section. g(x) = 13x...

A: Answer B: f(x) =xg(x)=3 xConcepts:Vertical shift of a units: (up or down)g = f± aHorizontal shift of...

Q: Inx 56. f(x) %3D

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Q: Recall that an angle making a full rotation measures 360 degrees or 2r radians. a. An angle measures...

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Q: the strong Allee effect is a population that satisfies rz (5 - 1) (1 – ), dx | dt A where 0 < A < K....

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Q: (b) Give possible values for minimum eft tration and maximum safe concentrat make Product C or Produ...

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Q: zP EVALUATE IN TERMS OF GAMMA FUNCTION. 94

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Q: (x- 2y)dx + (2x + y)dy=0 b. y(Inx)(Iny)dx+dy=0 c. 2xy dx +(y? +x² )dy=0 d. (cosxcosy- cotx)dx-sinx s...

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Q: 2. Given the functions below, find A. (A + B + C +D + E + F) B. (P + Q +R + M + N) (x² +1)(x+1) (2x ...

A: Both parts are solved below in detail.

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: Topic :- derivatives  Note:- as per our guideline if more than one question uploaded than only first...

Q: Find the solution of the given initial value problem. ty' + 3y = t – t + 5, y(1) = 3, t > 0 y = ||

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Q: An angle measures 2.1 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

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Q: Determine the values of r for which the differential equation - 16y =0 has solutions of the form y =...

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value...

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Q: Solve the given differential equation. All solutions should be found. (4y +2zy) de - (3ry + 2) dy = ...

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Q: 4k+2 7ペ-1 k=1

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Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below. 

Q: Use any method to determine whether the series converge. 1 (a) E k° + 7k + 1 k=1 This series may or ...

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Q: 3. Given: r = 3 – 5 sin0 a) Sketch the curve and label 4 polar points. b) Find the slope of the tang...

A: Given polar curve r=3-5sinθSolution :b.x=rcosθ  ,y=rsinθslope of tangent ,dydx=dydθdxdθr=3-5sinθdrdθ...

Q: sin(Tæ) lim x → 12 In(x – 11) -

A: The given limit,          limx→12sinπxlnx-11

Q: Solve the given initial value problem. 6x³y + y? 2x6 + 3xy' dy y(2) = - 3 dx O xy - y = 261 x®y² – x...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) g(t) = 3t2 - 4t ...

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Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

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Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume c...

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Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 3 cm3 ...

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Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: By using the method of undetermined coefficients, find the complementary function (y.) and particula...

A: Roots are imaginary then complementary function is e-2x (Acos(√5) +Bsin(√5))  And y(x) =complementar...