Q: find the component form of the vector. The unit vector obtained by rotating the vector {0, 1}120° co...
A: To determine the unit vector.
Q: The wind passing over a boat’s sail exerted a 1000-lb magnitude force F as shown here. How much work...
A: The wind passing over a boat’s sail exerted a 1000-lb magnitude force F
Q: Find T, N, and k for the space curves in Exercises 9–14. 9. r(t) = (3 sin t)i + (3 cos t)j + 4tk 10....
A: Hey, since there are multiple questions posted, we will answer first questions. If you want any spec...
Q: Find the derivative of the following function and evaluate the derivative at the given value of x. f...
A: The given function is,
Q: Show that the parabola y = ax2, a ≠ 0, has its largest curvature at its vertex and has no minimum cu...
A: Using the relation,
Q: How can you tell when two planes A1 x + B1 y + C1 z = D1 and A2 x + B2 y + C2 z = D2 are parallel? P...
A: Two planes are parallel if their normal vectors are parallel.Normal vector of A1 x + B1 y + C1 z = D...
Q: Find the distance from the point (2, 2, 3) to the plane 2x + 3y + 5z = 0.
A: Formula of distance of a point from a plane:
Q: In Exercises 25 and 26, find (a) the area of the parallelogram determined by vectors u and v and (b)...
A:
Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =...
A:
Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
Q: Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds...
A: Let the amount of salt in the tank at any time t is given by A(t).So the rate at which the amount of...
Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)
A: Given vectors
Q: find the component form of the vector. The vector 2 units long in the direction 4i - j
A: Given vector is u = 4i – j. So, the unit vector in the direction of the given vector is
Q: Please show work.
A: Given,
Q: find dy/dx where y=cosx +sinx
A: Given, function is
Q: Show that for every real number k the plane x - 2y + z + 3 + k(2x - y - z + 1) = 0 contains the line...
A: Show that for every real number k the plane x - 2y + z + 3 + k (2x - y - z + 1) = 0 contains the lin...
Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4
A: Given,
Q: Under what conditions can you find the area of the surface gener-ated by revolving a curve x = ƒ(t),...
A:
Q: In Exercises 27 and 28, determine the maximum curvature for the graph of each function. 27. ƒ(x) = l...
A: The curvature of a function is given by the following formula.
Q: Find equations for the sphere whose centers and radii are given in center(0,-1,5) radius 2
A: Equation of sphere centered at (a, b, c) and having radius r is
Q: Can I get help step by step with this problem please?
A: Given:
Q: Given g(x)= (3x+5)/(x-2) find x if g(x)= 0
A: Given function
Q: Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of the...
A: Given: Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope...
Q: Find the limit "L" The prove how the limit is "L"
A: Given function is
Q: Can you help me step by step with this problem please
A: Given,
Q: I don't get it
A: Given
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A: Given data :
Q: Find the centroid of the region that is bounded below by the x-axis and above by the ellipse (x2/9) ...
A: As shown in the figure the ellipse is bounded below by x-axis.It is clear from the symmetry that the...
Q: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular.
A: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular
Q: Considel the following TUnction and its graph. f(x) = -2 Use the graph to determine the limit visual...
A: The given graph of the function is
Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C ...
A: The given details are as follows.
Q: find the component form of the vector. The vector 5 units long in the direction opposite to the dire...
A: Given vector (3/5)i+(4/5)j is unit vecor as its magnitude is 1
Q: What is a cylinder? Give examples of equations that define cylin-ders in Cartesian coordinates
A: Definition of cylinder:A closed solid that has two parallel bases connected by a curved surface is c...
Q: Find all real zeros of the function. g(x)=5(x2-36)(x-7)(x+7)2
A:
Q: Find the length of the curve r(t) = (sqrt(2)t)i + (srqt(2)t)j + (1 - t2)k from (0, 0, 1) to (sqrt(2)...
A: Given curve
Q: A particle traveling in a straight line is located at the point (1, -1, 2) and has speed 2 at time t...
A: Given,
Q: The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. a. Show that the planes are orthogon...
A: Given,
Q: Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0), C(0, -...
A: Draw the diagram roughly
Q: Evaluate the integral: x6(3x7 + 5)7 dx
A: Given,
Q: I'm not sure how to start it.
A: Recall the following fact.A domain of the function is the set of all x values such that the function...
Q: In Exercises 33–34, find the distance from the point to the line. 33. (2, 1, 3); x = 2 + 2t, y = 1 +...
A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...
Q: #12
A: (12)Consider the provided question,
Q: a. Find an equation in polar coordinates for the curve x = e2t cos t, y = e2t sin t; -infinity<t ...
A:
Q: 50. Fungal Growth As a fungus grows, its rate of growth changes. Young fungi grow exponentially, whi...
A: We are given the model :
Q: What are box products? What significance do they have? How are they evaluated? Give an example.
A: Box product is defined as follows.
Q: Use this fact and find the acute angles between the lines in Exercises 47–51. 47. 3x + y = 5, 2x - ...
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...
Q: Find parametric equations and a parameter interval for the motion of a particle in the xy-plane that...
A: It is known that,
Q: Calculate the derivative: y = sin2xln(sin22x)
A: The given function is,
Q: How do you graph equations in polar coordinates? Include in your discussion symmetry, slope, behavio...
A: Description:The polar equations are sketched in the polar coordinates by analysing the symmetrical s...
Q: In this section, we used the product-to-sum formulas to write sums and differences of trigonometric ...
A: We are given the Fourier series (later we are writting y = f(x) )
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- —_— —_—+/ /7( S //7: G X+ /¢ - ZXTH /;3 /oA S X 2 _Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled by P = 40 + 20x / 1 + .05x where x is the time in years since introducing the deer. Determine the time required for the deer population to reach 200.F(x)=195(.806)^x how do particular region where X is the year and X=0 corresponds to 1962 estimate the year when the number of surgeon reaches 42,000
- Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f(t)= 89- 4log10(t+1), 0 ≤ t ≤ 24 What is the average score on the original exam? What was the average score after 6 months? What was the average score after 18 months?6.Differentiate. f(x)=x 6+x5 d/dx[f(x)]=nothing Enter your answer in the answer box.If x3+y3=19, find the value of d2y/dx2 at the point (-2,3). The value of d2y/dx2 at the point (-2,3) is.....????