Using calculus, find the absolute maximum and absolute minimum of the function f (z) = 5x - 20x +1 on the interval (-2, 3]. %3D a. va la sin (a)

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Q/ Find the Domain and Ranye for the fallowing Kuncti Vx+5 「メ+」 Vã -1 (3 ) y= (2) y= %3D x?+ 1 14) y...

A: As per the company's guidelines, we are allowed to solve the first three parts. Kindly repost other ...

Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

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Q: Find dy dx (a) y = (x + 5x) cos 5x, :

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Q: 3cos3x - 1 To evaluate dx, the integrand can be transformed to 1- sin?x

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Q: 5. Determine the sum of the following convergent series 1 (In 3)", n-1

A: Sum of infinite GP with first term a  and common ratio r is given by, Sn = a/(1 - r) for |r|<1

Q: (1/16) ^2x-1 =64

A: Using rules of indices

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

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Q: - ydx + (x ++/y )dy = 0

A: We have to apply substitution to solve the problem After substitution we have to integrate

Q: Find the limit: (а) lim tan 3x x2 sin27x

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Q: A function F is an antiderivative of the function f on an interval I if for all x ɛ I A F(x)=f (x) B...

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Q: DC-values (1)6 then h(x) If f(r) E(3)

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=3 .................

Q: 5. A trapezoidal trough is 10 ft long. 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. ...

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Q: Consider the following system. 2x – y+ 2z = 5 x – y+ 3z = 1 x + 2y + 4z = 6 10 1 2 -1 2 13 13 6 13 4...

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Q: vở tan v4 -dv 5+3 ln cos vt

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Q: 6x² – 2x +5 dx? What is 2x + 1

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Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: Let R be the region in the first quadrant bounded by the graph of y = 2 cos (), the line y = , and t...

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Q: 1. IFA=G ).B=(; ), îind A" + B". Find (AB)" IfA -G ) and B=( ) find AT + BT. 4 3 2 5 -6 7.

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Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

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Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1 FO...

A: Given: a1=3an+1=2an ;         for  n≥1

Q: Find the area of a triangle bounded by the y axis, the line f(x) f(x) that passes through the origin...

A: Given: - The line f(x)=7-13x and the line perpendicular to f(x) that passes through the origin, To f...

Q: 2. Evaluate each integral (very little calculations are required for these problems) 2 a) [- /9-(x+1...

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Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: A particle moves along a straight line and has acceleration given by s"(1) = 41 +3. Its initial velo...

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Q: Evaluate / 9 +2. 3" dæ. 3" –1

A: We can evaluate the integral as below.

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square incr...

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Q: Number 24

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Q: Using drawings and detailed explanations for each, explain the three conditions for continuity at a ...

A: Here is the solution of the given problem: 

Q: Use Gauss-Jordan elimination and LU decomposition to solve: 2x1 + x2 – X3 = 1 5x1 + 2x2 + 2x3 3x1 + ...

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Q: 3. / or(1- ) csc²(1– y)dy

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Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹   

Q: In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R ...

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Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

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Q: For which value(s) of a and b is y = abx an increasing function? How do I solve this without using a...

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Q: Determine the equation of the circle with radius 3 and centre (3,−4)

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Q: 15. You are given the following two planes: x+4y – 3z– 12 = 0 x+6y-2z-22 =0 f) Find a third equation...

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Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

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Q: (2 3 4) 9. Find adjoint A for the matrix A = ( 5 6 7 \8 9 1 '5 3) 10. Find the inverse of matrix of ...

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Q: Write the function g(x) in terms of the function f(x). O al r) - -3 f(r)+?

A: Given, Functions f(x) and g(x) From the graph, f(-2)= 0 g(-2)= -2

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4 ...

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Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches t...

Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

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Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: y =D dy 7 413 = 1-5x dx Find an equation for the curve that passes through the labeled The graph bel...

A: we have to find the equation of curve

Q: sin 6xcos 3x dx

A: