show that if y=x/tan(x) then y'=cot(x)-csc(x)

Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

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Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

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Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: Sx√x +Tdx

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

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Q: The LCM (y2-16, y2 +8y +16 (y-4) (y+4) G

A: Given: y2-16,y2+8y+16 Steps for finding LCM: Find all the prime factors of each given number.…

Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

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Q: Consider this expression: sin (-9) Reminders: To indicate √√7, then type: sqrt(7). You must type the…

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Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

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Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: So .x² dx (2x²+2x+1)²

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Q: 1. Find the limit. t² 4 8 lim t-2 +3

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Q: Find a value of c that will make the following function continuous at x = 0. sin² 4x x ≤ 0 x² f(x) =…

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Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: xcosx 2. Lim: xo sin²x 2

A: We can find the limit as below

Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: For f (x)=xl-2, then f(-2) =0 صواب

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Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find d)  The open intervals on which f is concave…

A: Given problem:- Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find   d)  The open intervals on…

Q: 25 f(x)=x²-3x x³ + 20x + 1; 1 = (-3,2)

A: As per the company's guidelines , we are supposed to answer only first question. Kindly re

Q: Find x-3) 2/2 lim 1+x0x+ O limit does not exist O e^-2 O e^-4 0-2 O-4 O Other:

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Q: What is the value of C?

A: We have to find the value of C.

Q: er each integral is improper. If it is improper, give your jus

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Q: 26. In how many ways can up to 4 students be selected from 6 girls and 5 boys if each selection must…

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Q: An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is…

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Q: In Problems 1 to 4, find the general solutions of the given differential equations. 1. d²y dy dx² -…

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Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: Find the length of the arc of the curve y = (1 + x²) fron the point where x = 0 to the point where x…

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Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A: Concept: Area of the base of the trapezoid =12(sum of its opposite sides)×height We know that the…

Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

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Q: Match the following rational functions with their graphs. Place the appropriate letter in the space…

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Q: [ * ² {( x=-62² ) + x ² (2 X-67 ° S - XP(x - 5] [9_xP ( _ex-b^) -b). E [+5₁ dx=6₂ 3 My = 3dx = 1/2/2

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get

Q: |y²Z² YZ Y+ZI z²x² ZX Z + x = 0 x²y2 XY X+YI

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Q: e slope of the line parallel to 6y + 2x=8 is 0.3. صواب خطأ

A: Topic:- geometry

Q: lim x-0 1+x−1

A: Given problem:-

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

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Q: x²-3x-4 Lim x- x²-1

A: The solution is given below:

Q: Find f'(-1) for f(x) = 2x, Express in exact form?

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Q: 9² P 2 -2- -N -6 -4 4 6 f (x) above, find the following limits. answer field, in text entry mode…

A: Topic:- application of calculus

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: 3. Find the inverse of the matrix. SHOW ALL WORK. [120 -1

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Q: 1. Find the limī lim In(sin x) X→π-

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Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: ӘТ ӘР V

A: