1-y 2 Consider the plane : x - 2y + 3z - 1 = 0 and the line 1: x= 1. Find the point of intersection of 7 and 1. 2. Find the point-normal equation of the plane perpendicular to and containing 1. = 2 +1.

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A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

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Q: below

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A: Option d is correct.

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A: We can find the answer as below.

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Q: Evaluate the following limit: lim ²-25 2-5 2-5 O Does not exist. O 0 O-10 undefined

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

Q: Which term is -708,588 for the following sequence, assuming that the pattern continues? 4, -12, 36,…

A: Solving the problem by finding the value of the n-th term .

Q: 4. S du (u²+a²)²

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Q: Wants to know what will be the Maclaren series of g(x) = sin(x) is ?

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0…

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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: The infinite series Σ a. series liner 8 n¯4 is a

A: We know that the p-series is the following. Thus, for             p=4.

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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

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Q: 5) Integrate 2x cos (x²-5) with respect to x.

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A: First we need to find the equation of the quadratic function.

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Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

Q: an = {( – 2)"} a) Find ag b) Find Σ.,a, 1 an 4

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Q: Evaluate

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Q: so which one is it 1, 2, 3, or 4?

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Q: Differentiate y = (2x³ + 3x² - 1)5 5(6x² +6x)4 30x(x+1)(2x³ + 3x² - 1)4 30x(x + 1)(2x³ + 3x²-1) O…

A: The given function y=2x3+3x2-15 we have to find the derivative of the function

Q: This exercise uses the population growth model. It is observed that a certain bacteria culture has a…

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Q: Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist…

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Q: What is the equation of the graph below? -4x + 8y = 1 2x + y = 8 4x - 8y = 1 -2x + y = 8 4x + 8y…

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Q: Consider the function f(x) = = Let F(x) be the antiderivative Then F(x) = 7 3 x² x7 of f(x) with…

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Q: Find the explicit solution of the initial value problem: y(t)= dy dt || 3 4ty + y Transcribed Image…

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Q: Question 6 Find the limit, if it exists. lim (e²r + x) = 1-0+ 01 O e² 0 3 02

A: Given    limx->0+{e^(2x)+x}/(1/x)

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

A: Here the velocity function is v(t)=13-5t   , where 0≤t≤1 (in meter per second). We have to find the…

Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched

A: f(x) = 4/x                    Slope of tangent = -1

Q: +31 Find the particular solution of the differential equation dy/dx = (4x^2-7x)/(3y^2+2) at x = 1,…

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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: 10 ²S₂" f Given that answer= f(x)dx 14 3' *f*f(z)dz? 10 what is

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Q: Evaluate the following limit: lim 2²-25 x→2 2-5 O Does not exist. 0-7 07

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Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: 2. S (x+1)dx x²(x-1)

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