Question Consider the function f(x) below. Over what open interval(s) is the function increasing and concave down? Give your answer in interval notation. f(x) = 3 x² -42x+ 8 Enter Ø if the interval does not exist.

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se,…

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Q: 5) Evaluate ehe integral (use c fos Ane constant of integration. tan'cx)cos x) dx

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Q: Q3) A) If you have three functions: f(x) = x2 – x %3D | g(x) = 3x – 1 w(x) = x2 – 2 So, find gof (x)…

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Q: Evaluate R(r+ y)dA, where R is the region bounded by y = r,y = r and y = V4 - 2. Lütfen birini…

A: In the given question we have to provide the double integration Using the formula,…

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Q: 1 dr r²Vr² – 9 -2.

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A: Consider

Q: ду 8- х2 + ху + у? %3D0 find ax

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

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Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

A: Given the query is to find the derivative of the expression.

Q: 00 3+n converge absolutely, converge conditionally, or diverge? n- Does the series E (- 1)"- n= 1…

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Q: 7. Find the area of the region bounded above by the line y 3, below by the graph of y VT, between…

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Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

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Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: Find the arc length of the polar curve described by: r = 5+ 5 cos 0

A: Use the formula for the arc length in polar coordinate.

Q: 1 1. S dx х2-5х+6

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Q: 4. (x² – 4)dx c2

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Q: Find the smallest value of x for which the series (a + 48)" 2!n(n) n=2 is conditionally convergent.…

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Q: 3 sin-xe 5%

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Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

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Q: Consider the curve C with parametric equations Ja(t) = t° – 3t +1 lu(t) = t(t +1) defined for t e R.…

A: Given

Q: Find c 0 such that the area of the region enclosed by the parabolas y- x- c and y = c-a2 is 100.

A: To find the value of c such that area of the region enclosed is 100.

Q: urface z = ze". frite the equation so the z(t) term contains a cos(t) term. -(t)

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Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: Find all the local maxima, minima, and saddle points ne function. f(x,y) = /56x2 - 8y² - 16x – 31…

A: When a function has the largest value it is called local maxima  and when it has the smallest value…

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Q: Solve the given Exact Equation. Be sure to supply all the steps that lead to your answer. (cos x cos…

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Q: Determine whether the integral is improper (x- 4) -'dx

A: Step 1: Identify whether one or both of the bounds is infinite. If so, then this is a Type I…

Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: APProximate the area under fa)=XZ 1. and a 1.9ht approXimation cright end Point reltungies 100 k…

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Q: and enter the types in the same order as your critical points. Note he types enter min max or…

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Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: Consider the definite integral V11 dæ. - 2x -3 The most appropriate substitution to simplify this…

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