What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+ xcotx) y – x = 0 dr O None of these O xsinx sin E O In(rsinx)

Q: Let f(x) = the following transformation of the graph of f: horizontally scaled by a Vx. Find the equ...

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Q: Suppose 7x + 2 f(x) ? + х — 2 Then A f(æ) : В х — 1 x + 2 where A = and B =

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

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Q: Construct an appropriate triangle to find the missing values. (0° ses 90°, 0seS n/2) Function 0 (deg...

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Q: Given that: lim f(x) = 5 lim f(z) = 8 lim g(x) = 10 lim %3D 25 9(x) = 0

A: Given, limx→5f(x)=5      limx→-5f(x)=8limx→5g(x)=10    limx→-5g(x)=0    

Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos* y sin ydy

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Q: Evaluate: J-1)–1) dy 0-my-1-등u-1)" + 즐피 ++ 11-arctan(Y )+c arctan () +c V3(2y+1) O-m-- 1³ + }n² + y+...

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Q: The dimensions of a box are b, b+1, b+4. Find how fast the total surface area A increases as b incre...

A: Topic:- geometry

Q: et H(x) = 3f(x) + 4g(x), where the graphs of f and g are shown in the figure to the right. Find H'(1...

A: Topic:- calculus

Q: 7) 2. メSinメ

A: 7)  let I=∫x sin(x2)cos(x2)dx

Q: Flhd the area of the shaded region. 15 cm 12 cm 13 cm 18.03 cm 10 cm 5cm

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Q: 44

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Q: Find the solution of the following initial-value problem d²y, dy + 4y = e, y(0) = 1, dr (0) = 2 %3D ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

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Q: 1.0 1,0 -1 -1

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Q: 14) Determine the distance between the parallel planes: 6z = 4y - 2x; and 9z = 1- 3x + 6y.

A: Given problem:- Determine the distance between the parallel planes: 6z = 4y - 2x and 9z = 1 - 3x + 6...

Q: 2dt J (t - 3)V2 – 6t + 5

A: Given that: ∫2dt(t-3)t2-6t+5

Q: 2) cos 135° 4) tan 930° 6) cot 810° 8) sec -240°

A: To find:- values of given trigonometry functions  2. cos(135°) 4. tan(930°) 6. cot(810°) 8. sec(-240...

Q: 64 The partial fraction decomposition of x2 can be 4 f(x) written in the form of g(x) where x – 2 x ...

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Q: Given f(x)=1/x find the difference quotient f(x+h)-f(x)/h

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Q: Suppose a block of metal heated to 250°F and then brought into a room that is at 90 ° F at 5 pm. At ...

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Q: a. Find the derivative of the vector function 7(t) = t+i+tj+tỉ. b. Use the result of part (a) to fin...

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Q: Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular...

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Q: Use the Maclaurin series for cos(x') to determine f(0) f®(0) = -360 O fo(0) = - O f®(0) = 0 %3D %3D ...

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Q: 1.0 lim g(x) I 2 help (limits) %3D lim g(x) = %3D lim g(z) =D I 12 lim g(z) = %3D -9(2) %3D

A: We have to find limit for given values  

Q: Let f be twice differentiable with f(0) = 6, ƒ(1) = 5, and f'(1) = 3. Evaluate the integral So x f"(...

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Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply. Nutri...

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Q: 9. Tan -30 degrees 11. tan -960 degrees 13. cot -630 degrees 15. tan 90 degrees

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Q: Find the exact value of each trigonometric function 2. COS 135 degrees 4. TAN 930 degrees 6. COT ...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: Given that the differential equation is     x(dy/dx) + y = 1/y2

Q: Integrate using the

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Q: Find the inverse laplace transform of F (s) = 3se-s s2+16 f (t) = cos(4t)u (t + 3) ° f (t) = 3 cos(4...

A: We will find the inverse laplace transform of the given function.below find the solution in the imag...

Q: Given the differential equation (2D² – 3D+1) y = csc(2rx) Propose an appropriate particular solution...

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Q: Given the vectors v and u, answer a. through d. below. v = 11i - 8k u = i+j+k

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Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = ...

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -5 -10 -15- 1. lim_ f(x) 2. l...

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Q: The functions f and g are defined by the following tables. Use the tables to evaluate the given comp...

A: Given query is to find the value of indicated composite function f(g(10)).

Q: A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal...

A: Given:   A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for...

Q: Use the arc length formula to find the length of the curve y = V 16 – x2, 0 s x < 4. Check your answ...

A: Circumference of a circle = 2 * π * radius

Q: Find the exact solution y to the initial-value problem dy =ry'/2, dr y(1) = 4.

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Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

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Q: Question 7 Is there a solution to -1 = 0 on the interval [-2, 2]? Is this solution guaranteed to exi...

A: The given equation, 1x-1=0

Q: Evaluate 2 sin x cos x dx by three methods: (a) Let appearance of the answers obtained in (a), (b), ...

A: To evaluate: I=∫2 sin x cos x dx

Q: Which of the following is equivalent to the differential operator (D-9)(D+9)y? O (D² – 2D+ 81) y O (...

A: To determine:

Q: 4 at the point 6, The slope of the tangent line to the curve y is: 3. 2)

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Q: |A particle starts at the origin with initial velocity i – j+ 3k. Its acceleration is ã(t) = 6t ỉ + ...

A: We have to find velocity and postion vector.

Q: Find the most general antiderivative of f(t) = 1 cos(t) – 5 sin(t). Note: Any arbitrary constants us...

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Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

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