Find the intervals on which f is increasing and decreasing. f(x) = - cos 2x on [-1,1]

Q: Draw a graph of sin 2x + sin 2(x + π/3). What are the period and amplitude

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: Write the quotient in standard form. 11 1-i

A: Topic = Complex number

Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y'…

A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: S sin3xsin 2x dx 3.

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: dx is x V16x2-25 3.

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Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x

Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

A: Evaluate the given integral,

Q: | (3y + e?v=) dx + (4x + 4 cos (y°)) dy. Use Green's Thoerem to evaluate the line integral x² and x…

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Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 & x=14 To find Area:

Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: dx 4. S x²+4x+13

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Q: .2 x In x dx ; with (h = 0.1)

A: follow the procedure given below.

Q: x 3 Calculate the following values: n( – 6) = n( – 4) = - %3| п(3) — n( – 3) = n(4) = n(2) =

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Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

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Q: x =r +1, y=r -t b) Find d'y dx2

A: x = t3+1differntiating w.r.t. variable t;dxdt=3t2+0dxdt=3t2   ....(1)y = t2-tdifferentiating w.r.t…

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

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Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: 19 Convert the Cartesian equation x - 5 = 0 to a polar equation. r = 5cscθ r = 5cosθ r = 5secθ

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Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

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Q: Find the volume of the solid that results when the region enclosed by 7x 0, х — 8, and Y : 0 is…

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Q: .3. cot°x csc*x dx

A: Find your answer below

Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

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Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t – 1)?, the position…

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: Direction: Evaluate f'(2) for the given functions. Show your solutions on a separate sheet of paper.…

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Q: Determine the average rate of change of the function f (z) = +1overthe interval 2 < x < 5. O a) 7 3…

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Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

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Q: Find the slope of the line 5x- 3y-1=0 O a. 5 O b. 5/3 O c. 3 3/5

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Q: Simplify cos2θ*(1+tan2θ)

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Q: Drection: Evalate /(2) fr the gien functons. a. -2 b. -6 d. 2 4 f)=P-4 a. 3 b. 6 c. 12 d. 2

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Q: 3. f(x) = 3x² + 8 a. -6x b. 3x с. -3х d. 6x f(x) = x' -1 а. Зх b. Зx c -3x d. 3x2

A: Topic = Derivative Correct answers 3) d 4) d