dx S using miscellaneous substitution will yield to secx+1 z²+z 1-z² 1+z² 1-z² -z² 1+z² Transforming A Ⓡ SH S²3 -dz -dz -dz -dz 1+z²

Q: Please show work! The area of a rectangle is fixed at 60 square meters. The base is increasing at a…

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A:

Q: 1) x² + y² + 18x - 26y +246 = 0 3) x² + y² + 16x +10y + 80 = 0 5) x² + y² - 22x+26y +254 = 0 7) x² +…

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Q: To evaluate the integral si sin³0cc 1³0cos 60d0 by trigonometric transformation, we use the identity…

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Q: 11. Determine whether the lines L₁ given by x=t, y = 1+ 2t, z = 2 + 3t, (with x < t < oo) and L₂…

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Q: Question 10 tanx If f(x)= A (B) C D sec ³x Itelin sec²x Iteline 1+1² I+e' -dt, then f'(x) equals…

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Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: 2 Let f(x)=√√3x-2 on the interval 1. Revolve the region between the curve, y=1 and y-axis about the…

A: To solve this problem we use cylindrical shell.. method.

Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

A:

Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: Given that g be a differentiable function and the range of g be an interval I.  f is a function…

Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

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Q: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

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Q: 10–f()=e" .sinh |2t. e-³¹ sin 2t -31 12- f(t) = t 14-f(t)=t² cos Zt. 16-f(t)=t² sin wt. = {0…

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Q: The position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 [*1/2 cos²0de A 0 Ⓡ IS!" B 18…

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Q: Evaluate the triple integral: A 24 B 6 12 18 √₁³√₁² √²(x + y + (x+y+z)dydxdz

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Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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Q: Find and sketch the domain of the function. f(x,y)=√y-x-8 Find the domain of the function. Express…

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Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: (1) Estimate the area under the graph of f(x) = 1/x from x= 1 to x=2 using five approximating…

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Q: 12

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Q: When calculating the integral shown, using trigonometric substitution method with 6x sen(B) = in the…

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Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration

Q: 3) Evaluate for ln(x + 1)dx x

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Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

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Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: let W = (x₁ +₁2) be jointly discrete. valid joint pdf a random vector. Contract of W (with atleast…

A: answer is in next step

Q: 5. y² = У X x-1

A: Solution is here

Q: (b) En=1 m

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Q: 1 m ( x² + 3102=²7) dx x²+3x-7 X-2 Evaluate the integral: Se A +2²2 + — + In|3x-6√ + C Ⓡ X/²2 ₁ B…

A: A detailed solution is given below.

Q: A lighthouse is on an island 350 meters east of the shore of Lake Bella. The lighthouse beam makes a…

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Q: Let g(x)=6x-4. Find g (Type an integer or a fraction.)

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Q: d If g(x) = - S* [e'− ln(2t+1)]dt, find g''(x) dx -2 2 A ex. (2x + 1)² 4 (В B et + (2x + 1)² Ⓒe*…

A: Given that gx=ddx∫-2xet-ln2t+1dt

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: determine all inflection points of x^4 + x^2

A: Let,  f(x)=x4+x2 Now, f'(x)=4x3+2xf''(x)=12x2+2

Q: Please show work in terms of d(variable)/dt, thank you! Water stored in an inverted right circular…

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Q: 4. f(x) = √3x5 - 2x + 7x²= 18x-25

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Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

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Q: Determine the integral: x²cosxdx A x²sinx-2xcosx-2sinx + C B x²sinx + 2xcosx-2sinx + C x²sinx-2xcosx…

A: Integration

Q: tretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Topic:- calculus

Q: (3x + 5) dx 3 2 x³ -x²-x+1

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Q: Evaluate [*²*3 sin 2x dx

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Q: lim 81x √16x2 4x

A: lim   16x2/4x x --&gt;∞   lim   4x/4x x --&gt;∞ = 1

Q: 0 ✓1+13xdx

A: Given that ∫021+13x3dxSolution:let 1+13x=t313dx=3t2dtdx=3t213dtat x=0,t=1at…

Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.