What is the domain of the following rational expression (include all types of restrictions): x²-8x+15 x²-7x+12

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A: Given statement, logb(x3+y3) = 3logbx + 3 logb y

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Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

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A: Our Aim is to evaluate the integral given below:-∫x2-12 dx -(i)

Q: Question 47 The graph of y = x - 2³ has a point of inflection at x =? 0 and 3/2 O only 0 and 1 O1…

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Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: x+3y=x².

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

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A: (a)

Q: Evaluate (i) dx S √e xlnx√(2lnx)² – 1

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Q: Find and simplify each of the following for f(x) = 6x² - 9x + 9. (A) f(x + h) (B) f(x+h)-f(x) (C)…

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Q: The function ³ - 3x² has a point of inflection at x = 2 x = -2 Ox=0 O x = 1

A: Let the function,   f(x)=x3-3x2

Q: 253-45-8 (5²-5) (5²+4) 253-15-8 s(5-1)(5²+4) Focusing on 5(5-1) (5²+4) A+B (3-1) S on denominator +…

A: Solution of given question is written in below steps.

Q: Find the area of the shaded region shown in the graph. The area of the shaded region is (Type an…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

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Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find out distance between the cars

Q: Suppose that f is a differentiable function defined on the whole real number line R and that the…

A: Given: A 'fx' is a differentiable function for x∈ℝ.  Ory = fx…

Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: For each polynomial function below, indicate the degree, the leading coefficient, and the end…

A: Given :1. fx=-3x4+2x3-8x2+112. fx=8x3+x2+7

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

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Q: 12. If eie + 1 = 0, what is 0? A. 0 B. π 2 C. T D. 2π E none of the above

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Q: Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in…

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Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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A: Volume of the sphere , V=43πr3

Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

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Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: What is the first derivative of f(x) = √√x² + 2x − 1?

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: This question is based on vertical and horizontal asymptote.

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

A: The function f(x)=8x-7x3 over the interval 0,2

Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: Let f(x) = 4x² + 4, g(x) = √-7-x, find the following: (1) (ƒ + g)(x) = (2) (f- g)(x) = (3) (fg)(x) =…

A: Note: as per guidelines we support only 3 subparts of the questions.kindly repost next questions in…

Q: x² dx (x − 1) (x² + 4x + 5) Si

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Q: b) 2 1 dx x ln x

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Q: Find each indicated quantity if it exists. Let f(x) = |x-18] . Complete parts (A) through (D). x-18…

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Q: Find the centroid of the region bounded by the graphs of the equations using any method. y = √9-x²,…

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Q: Compute the following: fcos (x) sin(2x) dx

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Q: Using sigma notation, write the expression as an infinite series. Σ n = 1

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Q: Given: S dx x+2x3

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