Which equation represents a line that goes through the points (0, 1) and (1, 0)? y = -(x + 1) y = 1 - x y = 1 + (x - 1) y = 1 - (x - 1) y = x - 1

Q: √1-(In x)2

A: ∫1-lnx2xlnxdx Let 1-lnx2=y

Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: The graph of a function f is given. Use the graph to estimate the following. y W 2 3 (a) All the…

A: We have to find minima maxima and intervals where function is decreasing and increasing.

Q: B Consider the function f(x) = -4x²+7x+6. Interpret the meaning of f'(-7)= 63. O The average rate of…

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Q: B If f(x) has a local minimum at ra, then which of the following must be true? O f'(a) > 0, f"(a) 0…

A: We have to find the correct option.

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π]

A: We can find the answer in the following steps.

Q: A ball bounces to a height of 6.1 feet on the first bounce. Each subsequent bounce reaches a height…

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Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: (b) Show that the following sequence is convergent: 1+ (-1)" n² Yn = √2+ (c) Show that (yn)neN is…

A: A Sequence <an> is convergent if and only if limn→∞ an is finite and unique.

Q: By an appropriate trigonometric substitution, Choices: √ √10 sin sin 0 cos de cos √10 sin 0 1 /10…

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Q: Which linear equation is shown below? y = x/5 +2 y = 4x + 3 y = 5x + 2 y = 5x - 2 y = 5x + 4

A: To find out the correct linear equation which is shown in the graph below.

Q: Which of the following graphs represents (x-2)² + (y+4)² = 257 1. le - 4 - 7 . $ 4 2 2 2

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Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

A: Question: (a) Find an exponential model for the number of bacteria in the culture after t hours. (b)…

Q: The route that a trolley takes around a city can be represented by the functions x² + y² = 5. A…

A: To find out the location means the points where the trolley meet the train.

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: 2nx 5x e e dx

A:

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

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Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: B Fig 1 1 y = (3x)3 A I. Find the co-ordinates of A and B X II. Find the area enclosed by the curves…

A: Please see the below picture for detailed solution.

Q: 1 ∞ Inxdr

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

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Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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Q: bounded by x² + 2y = 4 and - Sketch the area x+y+2=0 and determine: d) area using using horizontal…

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Q: Find an explicit formula for the general term  an  of the sequence. 1, −  1 3 ,   1 5 , −  1 7 ,…

A: We have to find the formula of general term.

Q: [2 2x log 2x dx

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Q: Which line has the greatest slope?

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Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c dt3 +30²…

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: 2. Find the general / particular solution of the following using variable separable b. mydx = nxdy =…

A: Given: a)  my dx=nx dy       separable equation:        mxdx=nydy integrate on both sides…

Q: Type the left side of the equation of the ellipse. Which graph shown below is the graph of the…

A: Topic:- geometry

Q: 7. Differentiate w.r.t x- sin 5x cos 3x 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

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Q: 4. S dy y³-2y²

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Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: 2. S (x²–5x+3)dx x3-4x²+3x

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Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

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Q: 5.5x³(a²-x²) ²/dx

A: The given problem is solved below in detail.

Q: Find an equation for the hyperbola described. Graph the equation Center at (-1,-4); focus at…

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Q: Consider the graph below and determine the open intervals on which the function is increasing and on…

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Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯ √√1 - 4x² = π

A: To find the solution set  of the following.cos-12x+sin-11-4x2=π

Q: Evaluate t

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Q: What is 30,264,836 times 97,125,356 ?

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Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: For each positive integer n, define an = n² sin 1. Determine if the sequence {an} +∞ 2 n² n=1…

A: A sequence an is convergent if and only if limn→∞ an =L (finite) . Note : As per our Guidelines , we…

Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

A: Let's find surface area of the cone.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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