Suppose that u and v are two vectors with |u| = 1, |v| = 4 and u · v = −2. a. Compute |u + v|. b. Compute |(u + 3v) × v|.

Q: Problem 2. Find the expected value and variance for the random variable X whose probability density…

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Q: $₂ Use property 8 to estimate the value of the integral 10 8 10 8 ≤ s [ 0 = de s x dr.

A: By using the property 8 to estimate the value of the integral

Q: Suppose ƒ is a quadratic function that has roots at x = - 3 and x = 7, and f(0) = 15. We will write…

A: f(x) has roots at x=-3 and x=7 and f(0)=17

Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: x y = 8-6 cos(t = = 7+cos³ (1)

A: x=8−6cos⁡(t)y=7+cos5⁡(t)Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

Q: p(x): =

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Q: 3. Practice similar Evaluate the integral in terms of the constant: fr³ dx = Submit answer Answers…

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Q: For the function f(x) = − 6x² + x − 6, evaluate and fully simplify each of the following. f(x + h) =…

A: f(x)=-6x2+x-6

Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: Find an equation for the line that is tangent to the curve yequals=x cubed minus xx3−x at the point…

A: The objective of this question is to find the equation of the line that is tangent to the curve y =…

Q: (7 x 10^4)(5 x 10^-3) compute the following. express answer in engineering notation

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Q: 2 4 sin r 3 tan r dr

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Q: Six hundred seventy five square inches of material are available to construct an open rectangular…

A: Material available = 675 in2 It is a Rectangular box with square base. So, length = l in and breadth…

Q: 1. Evaluate the iterated integral ·2 xex [f²e²dy -dy dx.

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Q: D D -11-10-9-8 -9-8-7-6 -5-4-3-2-1 -8 -7 -5 -4 -3 7 6 5 4 3 2 1 -1. -2 -3 -4 -5 -6 -8 8 7 6 5 4 3 2…

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Q: Assume that 0 ≤ 0≤ 1/2. Find the values of sin(0) and tan(0) if cos(0) 243. (Use symbolic notation…

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Q: 4. Find the intersection of the two planes. T₁: X+ 2y+3z + 1 = 0 T₂: 3x + 2y +z+2 = 0

A: To find the intersection of the following two planes.

Q: A right triangle has a 30-degree angle and one side of length 12 cm. What is the arithmetic mean of…

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Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. open…

A: A graph of the function is given.The aim is to find the intervals for which the function is…

Q: Determine whether each function is invertible. If it is invertible, find the invers {(-3, 2), (3,…

A: The given function is

Q: when you found out that there was discontinuity at x=2, why did you take the derivative to get rid…

A: The given function,The aim is to explain why we used derivative at .

Q: Taking logarithms and antilogarithms is necessary to solve many chemistry problems. For practice,…

A: Given:values for N, lnN and logNTo findvalues of N, lnN and logN from given respective value.The…

Q: Evaluate the integral Integral = Submit answer S √t(-8 +t) dt

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Q: 3. Let f(x) = 3 - X, 82 X +1, x > 2. 3 x < 2 0 y = 3-x 2 y=2+1 4 → X a. Find lim,2+ f(x) and limx-2-…

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Q: 3. If three equal subdivisions of [0,3] are used, what is the Trapezoidal Rule approximation of…

A: Trapezoidal rule

Q: Calculate the following iterated integral. L (L², rydy) dx = □

A: This is question of calculusHere double integration is given. We have to find value.Further…

Q: Please solve for (d) as the solution (c)

A: Givena limit To find:Evaluate the limit

Q: Use the given graph of the function f to answer the following questions.

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Q: Question 3 Find the limit, if it exists. If it does not, enter "DNE 2x³ - 6x-4 4x² + x lim x→→∞

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Q: Suppose f(x) = - = (x − 6) (x + 3). a. Solve (x - 6) (x + 3) = 0 for x. X = 6,-3 b. What are the…

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Q: Evaluate the integral t S -8e³ sin(t-s) ds 0

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Q: Use the given graph of the function f to answer the following questions. -3 -2 -1 f(x) 4 3 2 1 -1 -2…

A: As we know if  then function increasingif  the function decreasingif  then function concave upif…

Q: Minimize x² + xy + y² – 2x − 5y, subject to the constraint 1 x+y=0. 1. List the point(s) where this…

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Q: simplify (x + 1)² T

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Q: 2. Solve: 3 -X-2 x²- 11 1 X x=²=₂+x²= 1² and state any NPV's. X-2 X+1

A: This is question of calculus.Here one equation is given We have to solve it.And state the…

Q: Let R be the rectangle consisting of all points (x, y) such that: 0≤ x ≤2 and 11. v R 1. Calculate e…

A: Application of integration

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

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Q: Suppose that f (x).g (2), and h (2) are defined for all za over an open interval containing a.…

A: Suppose that  are defined for all  over an open intervalcontaining . Suppose that:  in an open…

Q: Q₂: The number of yeast cells in culture increases rapidly initially but levels off eventually. The…

A: The number of yeast cells in a laboratory culture increases rapidly initially but levels off…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: For the solution follow the next steps.

Q: 3. Consider the function f(x) = (x - 1)¹/³. a. Compute the slope of the secant lines between (1,0)…

A: The given function is The slope of the secant line passes through points

Q: How do you graph the ellipse? (x−2)² 81 Drag choices into the boxes to correctly complete the…

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Q: Use the graph below to determine the limits. lim f(x) x-1 lim f(x) x-2 lim f(x) x-3 y=f(x) lim f(x)

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Q: ₁* f(x) dx = 5 and ³ g(x) dx = 12. Use the linearity properties of the definite 4. Suppose that…

A: Suppose that .By using the linearity properties of the definte integral to find .

Q: The graph of a function f is given. Use the graph to estimate the following. -1 y (a) All the local…

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Q: dy dx || dy = 1-1² y = -4 -8

A: Given,

Q: 2. Identify the values of the variable for which √√4-x is defined. Show the values on a number line.

A: Given that the variable  we have to find identify the value

Q: What is the product using Pascal's triangle : (m-n)^3(m+n)^3

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Q: Vector v = &lt;1,1,0&gt; and vector w = &lt;-1,-1,sqrt2&gt;. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: To produce a textbook, suppose the publisher spent $145,000 for typesetting and $8.50 per book for…

A: To produce a textbook, suppose the publisher spent $145,000 for typesetting and $8.50 per book for…