draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular prisms) (6 marks) a. op(4,6,3) b. oq(2, −7, −3)

Q: The trajectory of a bullet is given by x=vo cos(a)t, y = vo sin(a)t m where vo = 500, g = 9.8- m Ꭶ…

A: Please see the attached image for the solution.Note: sin4π​=22​​ and cos4π​=22​​  If there are…

Q: Your last submission is used for your score. 6. DETAILS MY NOTES 0/5 Submissions Used Find the…

A:

Q: Sketch a graph of x = = t²+2t, y = t2,t> -1. 4. 3 2 -5-4-3-2 1 Clear All Draw: my -2 -3 -4 - What is…

A: When we change the value of t (t>=-1), the graph shifts to Right.

Q: 4. Use the Alternating Series Error Theorem to estimate f₁ cos(x²) dx with an error of less than…

A: Step 1:Step 2:Step 3:

Q: Find the solution of the differential equation s' = √t - 1+ 2s2s' that satisfies the given initial…

A: Step 1:s′=t−1​+2s2s′ i.e., (1−2s2)s′=t−1​ i.e., (1−2s2)dtds​=t−1​ i.e., (1−2s2)ds=t−1​dt  Step…

Q: Find the absolute extrema of the function. h(x) = ex²-9 on [-3,3] Absolute maximum value: at x = ±…

A:

Q: PLS HELP ASAP ON ALL

A: Step 1:

Q: Write an equation of the form y= a sin bx or y= a cosbx to describe the graph below. ☐ Π sin 句 ☐ COS…

A: Step 1: Step 2: Step 3: Step 4:

Q: help with math question please and thank you steps

A: The center of the hyperbola is:C(3,5)One of the vertices is located at:V1​(6,5)One of the foci is…

Q: The Problems 1. Dealing with Physical Challenges (Rate of Change) Copper concentrated falls from an…

A: The objective of this problem is to find the rate at which the height of the copper concentrate is…

Q: a. A rectangular pen is built with one side against a barn. If 1000 m of fencing are used for the…

A: Step 1:Step 2:Step 3:Step 4:Step 5:

Q: Evaluate the surface integral 50 F. ds for the given vector field F and the oriented surface S. In…

A: Given that the functionF(x,y,z)=xyi+yzj+zxk  and also 0≤x≤1, 0≤y≤1The surface integral ∫∫S​F.dS of a…

Q: 1. Consider the area enclosed between the circle x^2 + y^2 = 4, the line y = 3, y = x, and y = -x…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL

A:

Q: Please some for problem 1 part c

A:

Q: on 1 Given f(x, y) = 2x-3xy³ + 4y³, find faz(x, y) = fzy(x, y) = Question Help: Video Submit…

A:

Q: Need help

A: First define the Taylor polynomial of degree 2 and degree 3 centered at x=a Taylor polynomial of…

Q: Explain how to solve this question and show the steps properly.

A: Step 1: I used Newton Raphson method in Python .You can use online python compiler. It would be more…

Q: The Venn Diagram below represents the percentage of students in a survey that like a genre of movie.…

A: Step 1 :The total percentage of all students is 100%.It is given that, 3% students said they like…

Q: If g'(x) = f(x) with g(-12) = a, g(−8) = b, g(−3) = c, and g(-2) = d, express the value of -4 1 f x…

A:

Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

A:

Q: Tutorial Exercise The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the given integral by changing to polar coordinates. -π 2 -x2 y2 dA' where D is the region…

A:

Q: Verify that F Vy and evaluate the line integral of F over the given path: F= (xy², x²y), 4(x, y) = ½…

A: Step 1: Step 2: Step 3: Step 4:

Q: tan(using = ½, and ǝ is in quadrant IV, determine the value of tan (2) using Given cos(0) = = 5,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Three different forces act on an object. They are: F₁ = F₂ = F¾³ = Find the net force Fnet on the…

A: Net force on the object…

Q: Thinking x 2 s+2t 23. Find a normal vector of the plane: y = 3 + 4s - 3t z=4+s+ 4t 24. The point…

A: Solution:solution 29:I hope this solution helps you, thanks!

Q: Use calculus to find the absolute maximum and minimum values of the function. f(x) = 3x − 6 cos x,…

A: First, let us recall the following definitions:The absolute minimum is the smallest value of a…

Q: (x = 1-2t 27. In 3-space, find the distance between the skew lines y=1+t and [x, y, z] = [4, 7, 1] +…

A:

Q: the bases of the rectangles in the image are all the same size. Taking the difference between the…

A: Approach to solving the question: The method is approximation of area under the curve with…

Q: Please find the volume for the following problem and show how to solve using the graphing…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL

A:

Q: Find the minimum value of the function f(x, y) = 22+ y² subject to the constraint zy = 11. Submit…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the volume V of the solid obtained by rotating the region bounded by the graphs of the given…

A: The First graph represents the given region bounded by y=x3 and y=x.And second option in 3d graphs…

Q: 10) Find the area of the surface generated by rotating about the y- 1 axis the curve y= + ; 0≤x≤1. 2…

A:

Q: A vector with magnitude 6 points in a direction 370 degrees counterclockwise from the positive x…

A: Step 1: Given magnitude 6 points , and angle is 370   Step 2: X-component of velocity is |v| cos…

Q: 7) Let F(x,y) = (xy²+2y) + (x²y+2x+2)j be a vector field. a) Calculate curlF and divF, is F a…

A: solution of the given question is like as:

Q: Car A is 80km east of Car B and begins moving west at 40km/h. At the same moment, Car B begins to…

A: Step 1:Given car A is 80km east of B at t=0. After that car A moves towards west by 40km/hr. Car B…

Q: A Math 110 student decides to make semiannual payments of $1,500 into a retirement account paying 4%…

A: To calculate the account balance after 30 years with continuous compounding, we can use the formula…

Q: Determine whether the integral is convergent or divergent. 1 41 4y-1 convergent O divergent dy If it…

A: To determine if the integral ∫01​4y−14​dyis convergent or divergent, we can use the limit…

Q: Consider the equation below. f(x) = x4 − 2x2 + 4 (a) Find the interval on which f is increasing.…

A: The objective of this question is to analyze the function f(x) = x^4 − 2x^2 + 4 in terms of its…

Q: You are driving a car on a flat surface around a curve to the left. The tangent vector T is pointing…

A: Here's the direction of each vector when driving a car on a flat surface around a curve to the…

Q: Find the value of the constant C for which the integral 3x 3C dx 4x + 1 (11) + converges. C =…

A: You can simplify it more by putting value of ln( 2 ). Depends on your need .ln(2)= 0.6931471806

Q: find the limits of the following sequences

A:

Q: The formula provided in the question is a power series representation for g(x)= e-x^2

A: Step 1:​The power series of g(x)=e−x2:e−x2=n=0∑∞​n!(−x2)n​​Step 2:​e−x2=n=0∑∞​n!(−x2)n​Expanding the…

Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

A: If you find this answer good please rate it helpful. If any query then raise it.Thank You!

Q: For the following fields, calculate curl F: 1. F(x,y,z) = 〈x2 -y, 4z, x2〉 2. F(x,y,z) - 〈-3y,3x〉

A: Step 1:(1) The given field is:F(x,y,z)=⟨x2−y,4z,x2⟩To compute the curl of a vector field, we can use…

Q: Maximum Revenue When a management training company prices its seminar on management techniques at…

A: Step 1: For part 1,Given that the price per person is $400 and the number of people is 1000.Let x be…

Q: 2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the…

A: Given the polar curves,r1​=4−2cosθr2​=2+2cosθ (a) Solving for the intersection point between 2…

Q: > Next question Get a similar question You can retry this question below Let f(x, y) = x² + 2y +…

A: To find the critical points of the function f(x,y)=x2+2y4+40xy, we need to find where the gradient…