What are the equations for the vertical and horizontal asymptotes?

Q: Area of a Rectangle A rectangle has one vertex in quadrant Ion the graph of y = 10 - x2 , another at…

A: A vertex of rectangle lies on the following: y=10-x2 Since the area of rectangle is maximized when…

Q: What happens if you take B = A in the trigonometric identitycos(A - B) = cos Acos B + sin Asin B?…

A: The given identity: cos(A - B) = cos Acos B + sin Asin B To check what happens if B = A .

Q: True or False: The following function is continuous on R. True O False f(x) = if x sin x 44

A: Given function:- fx=sinxif x<π4cosxif x≥π4

Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

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Q: Sorry forgot to specify, find the zeros

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Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: Given expression:- x2-16

Q: S x2tan-1xdx

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Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

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Q: Why did you subtract 115-105 in question #2 and not 110-105? Where did 115 come from?

A: Note:  After seeing the previous solution, we observe that the expert has provided the wrong…

Q: ng the table below. 3 4 3 1 4 3 3 2 1 2

A: We have to find the value of the given following conditions according to the given information

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: Use the Fundamental Counting Principle to solve:A restaurant offers the following lunch menu. Main…

A: Given data:- A restaurant offers the following lunch menu:- Main Course      Vegetables…

Q: On equation (iv), why is d/dz of 3z^3 is equal to 3z^2, shouldn't it be 9z^2?

A: Yes, you are right. There is mistake in equation (iv). Correct solution is shown below.

Q: . Determine an equation of the tangent line to the function y=lnx at x = e². Sketch a graph of the…

A: Explanation of the answer is as follows

Q: (1 + 1) ds + 2s = 3(1 + 1) + 12. (t 1 (t + 1)²¹ t> -1

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Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

Q: Consider the ellipsoid x² + y² + 3z² = 8. Find all the points where the tangent plane to this…

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (13, 11, -7) Vw(13, 11, -7)=

A: I have solved step by step in detail.....gl through the solution.....remember the value  (4) under…

Q: Use the quotient rule to find the derivative of cot z. Simplify its derivative as much as possible.…

A: To solve this question we would use the following supporting formulas   ddxcosx=-sinx ddxsinx=cosx…

Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 9x-³, a = 5. (Use…

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Q: e the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 e your answer without fractional or…

A: Given query is to find indicated derivatives.

Q: Consider the surface xyz = 16. A. Find the unit normal vector to the surface at the point (2, 2, 4)…

A: Given,              xyz=16⇒xyz-16=0

Q: 1. Find the area bounded by the given curves, axes and/or lines a. y²-3x+3= 0 and x = 4 b. y² = x,…

A: 1) Here we have to find the area bounded by the given curves, axes and/or lines. a) y2-3x+3=0 and…

Q: 9. Determine the convergence of the following series using the ratio test. If the ration test is…

A: Ratio Test

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: (im (16*x+26) (7x²³+2) x-sá

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Q: Describe what nPr represents.

A: what nPr represents:- The permutation is a specific orderly arrangement of the components.

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

Q: 3. Determine whether the sequence an = n cos ní is bounded, bounded above. bounded belew, or none of…

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Q: Find the interval of convergence of the following series Σ(-1)₂(x - 2)n n5n n=1

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Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

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Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

Q: me of a Cube The volume V of a cube with sides of length x in. is changing with respect to time. At…

A: Volume of cube is side cube

Q: Discuss

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Q: Which of the following is not a differential equation A. dr dy B. (2x+y) dg + 5 =0 cởi treo Dyxdx ao…

A: We need to choose correct option.

Q: 2. For the function f(t) graphed here, find the following limits or explain why they do not exist.…

A: Given the graph of a function

Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

Q: Let f(x) be an invertible and differentiable function on (-00, ∞o). Find (f-¹)/(3) if you know the…

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Q: Find the equation of the plane that passes through the point (2, 1, -3) and is tangent to the…

A: Given,             x2+4y3+3z2=35 ⇒x2+4y3+3z2-35=0

Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data  There are six jokes about books

Q: 13. The graph of the first derivative f'(x) of a function is shown. Identify the graph of f. N

A: Given query is to find the the graph of the function from the derivative graph.

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

Q: 1. (Section 15.8) The function f(x, y) = z²y has an absolute maximum and absolute minimum subject to…

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Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: I. Consider the following matrices: 2 7 B=-3 2 A = [5, 6] 2 61 -3 2 D=12²8³) -8 If possible,…

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Q: Evaluate the following integral, showing all calculus and algebra work. [xs x sin² (x) dx

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Q: Use the addition formulas to derive the identities in Exercises 31–36. 31. сos = sin x 32. cos x…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Graph the polynomial given below by first selecting the number of points you will need, then move…

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Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372