Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

Q: Question 4 Let −4x² + xy + 3y² - 13x − 8y - 3 = 0. dy Use partial derivatives to calculate > dy dx…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Rationalize the following denominator: √5-3√3 √6 3√10-6√2 6 O√30-6√2 3 3√10+3√2 6 √30+9√2 6

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Q: Write v as the sum of two vector components if v = i +3j and w = -2i+ 5j. Cloudy ○ v= (¹+¹)+(5¹+5)…

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Q: Calculate the second and third derivatives. y = 7x² - 7x² + 9x

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Q: The vectors that make up the sum of two vector components are parallel to each other. O False True

A: The given statement is false.

Q: 4. Find an equation for the tangent line at the given point. y = sin (sin x), (TT, 0)

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Q: find fz (2²+1) da can not be done 0 x¹ + x² + c © x³ + x +1 Onone of these answers

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Q: Write the following expression in terms sine or cose, and then simplify if possible. sec(-0) -…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. 2 r(t) = (2²³) 1 +…

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Q: Find the magnitude of a vector, v, whose initial point is (-5, 8) and terminal point is (2, 3).…

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Q: If f(1) = -3 and f'(x) ≥ 5 for x = [1, 5], what is the smallest value f(5) can possibly be? Bug…

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Q: 3. What is the degree of h'(x) for the function h(x) = (x + 3)¹(x − 2) 5? 8

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Q: Determine whether the improper integral diverges or converges. fe converges diverges ex cos(5x) dx…

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Q: - CLE Bot 7 ! F2 2 O Rewrite the expression * Student can enter max 2000 characters F3 XGBIU FEQ #m…

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Q: Karen arrives at the subway station every day at a random time and takes the first train that…

A: To determine the most likely explanation, let's analyze the given information. Karen has gone to…

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

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Q: What is the dot product of the vectors (4,-10,3) and (1,1,5)? 0 75° 9 -113

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Q: Match the equation of f(x) to the equation of its derivative f'(x) ƒ¹(x) = −3x² + 12x – 12 1. f(x) =…

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Q: Given vectors a = (1, 2, 3) and b = (-5, 4, 3), write vector c = (17,-8,- 15) as a linear…

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Q: A parallelogram is defined by OA = (1, 2) and OB=(3, 2). Determine the length of the diagonal…

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Q: Sketch the graph of the function f(x) = ln(x - 1) - 2. Also, find the inverse function f(x), and…

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Q: Let f(x) = 2x² + 8x − 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

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Q: What is the range of the function y=\sqrt(x+5) ?

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Q: Write the quadratic function f(x) = x² + x + 3 in vertex form. What is the vertex of this parabola?

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Q: 6) Find the area of the region bounded by the curve y=sin(x) and the x-axis between x = 0 and x = 쓸

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Q: -Find the surface area obtained by revolving y = sin x over [0, π] about the y−axis. Sketch.

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Q: The graph of s= f(t) represents the position of an object moving along a line at time t≥0. a. Assume…

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Q: hine the cartesian equation of the plane th 4), and C(4, 5, 5).

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Q: The tangent function is used to find the angle between two vectors. True O False

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Q: Consider the following system of equations: 1 4x + 3y + 3z = -8 2x+y +z = -4 3x - 2y + (m²6)z = m -…

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Q: Q3. X Y (a) (b) The set of the following four data points is given: 8 15 5 10 11 9 18 8 22 7…

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Q: Given the first and second derivatives of f (x)=x√2x + 3, determine all the critical points, anu…

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Q: Given points A(1,3,-7) an B(0,2,-4), calculate AB AB 3 137 √11 3.3

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Q: The demand curve for a certain product is given by p(q) = 585-q². The supply curve is given by p(q)…

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Q: exact value of cos²() using a suitable power-reducing formula. + √2 4 1-√2 2 1+√2 2 2-√2 4

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Q: Using the appropriate sum-to-product formula, the expression cos4x - cos3x can be rewritten as cosx.…

A: The given expression is,

Q: Which direction vector is for the line modeled by cartesian equation 3x+2y-1=0? d (3,-2) d =(-2,3)…

A: The given equation of line is .We have to find the direction vector for the line.

Q: 3-16 List the first five terms of the 3. a₁ = n³ - 1 5. {2" + n}"-2 7. An 9. an cos n (-1)-1 n² =…

A: The sequence is

Q: Question 3. Find F where and F(√) = 3. F'(x) = 2x cos(x²)+7√√π

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [1,5] by computing the area…

A: The function is f(x) =   and the interval is . We have to find the area under the given graphs.

Q: Find an equation of the line tangent to the following equation at point x = 1. f(x) = xtan x What is…

A: Application Of Derivative

Q: 14. a. As x→→∞, f(x) → c. As x→-3˚, f(x) → e. The graph is increasing over the interval(s) g. The…

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Q: 1. Given that lim f(x) = 2, x→a lim g(x) = -4, x→a find the limits. (a) lim [f(x) + 2g(x)] x→a (b)…

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Q: 1. A firm produces Q = f(L) units of a commodity using L units of labour. Assume f'(L) > 0 and f"…

A: (That is Marginal Revenue generated from an Additional unit of labour = Cost of an Additional Unit…

Q: 2. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, - (a) (b)…

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Q: 3. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, -∞ or DNE.…

A: Using the bounded ness of sin function As per our guideline we supposed to answer only first…

Q: Find the exact value of sin(255°) sin(105°). O O -√√3-2 4 O -√3+2 4 0/1/20 O

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Q: 8) Evaluate So (x-1) dx Dod

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Q: Find the vector that is orthogonal to the projection vector that comprises the sum of two vector…

A: Given: v=-i+2j and w=3i-j

Q: The graph of s = f(t) represents the position of an object moving along a line at time t≥ 0. a.…

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