☐ 1. Find the volume of the solid formed by revolving the region bounded by the graphs = x² about the x-axis. y = 3x and = y

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

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Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

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Q: I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point…

A: Image attached.Explanation:a)  b)

Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² -…

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Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation…

A: The objective of the question is to find the vector equation of a line that passes through a given…

Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and   fx​≡fx​(g(t),h(t))

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: Calculate the expected value of X, E(X), for the given probability distribution. -6 -3025 10 E(X) =…

A: E(X) = 1.2Explanation:The expected value of a random variable X, denoted as E(X), for a given…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: Use the Chain Rule to find the indicated partial derivatives. дл მs дл z = x² + x²y, x = s + 2t-u, y…

A: To express    dz/ds  , dz/dt and dz/du using the chain rule without substituting x and y: Apply the…

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units…

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Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: The graph of a function is given. Choose the answer that represents the graph of its derivative…

A: We need to determine the graph of the derivative from the given graph.

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Find all critical numbers by hand. f(x) = x²-7 x+3

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Q: Question 1 For the function g whose graph is given, arrange the following numbers in increasing…

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Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

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Q: What are the absolute max and min values for the following function: f(x,y) = x3+x2y+2y2 on the…

A: Answer:Absolute maximum value of function = 2Absolutely minimum value of function = 0The detailed…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: Determine the intervals where the graph of the given function is concave up and concave down.…

A: To determine the intervals where the graph of the given function is concave upand concave down.

Q: #6 Find an passing through points (0,3,6), (1,3,9), (-5,3,-1). equation of the plane 72

A: Equation of the plane passing through the given points is y=3.Explanation:To find the equation of…

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: Let an and ag = 9. n+1 a) Determine whether the given equation is explicit or recursive. The…

A: Recursive means a function that repeats or uses its own previous term to calculate next terms forms…

Q: Use the Chain Rule to find Əz/ǝs and Əz/ǝt. z = x5y5, x = s cost, y = s sin t Z Əz || дл at ||

A: Answer is given below.Explanation:Step 1:--Step 2: Step 3: Step 4:

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

Q: find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

A: The length or arc length of the given curve is 129 units.Explanation:

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: (a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² =…

A: For part (a), the surface integral evaluates to(−332π​). For part (b), the surface integral…

Q: (b) Compute the frequency and probability distribution of X. x P(X = x) Frequency 50 125 150 225 300…

A: The objective of the question is to compute the frequency and probability distribution of X, where X…

Q: The random variable X has the probability distribution table shown below. x 46810 12 P(X = x) 0.2…

A: The objective of the question is to find the missing values in the probability distribution table…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

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Q: help

A: So, the consumer's surplus is $30.Explanation:To find the consumer's surplus, we first need to find…

Q: 2. Find the volume of the solid whose base is the region bounded by the circle x² + y² = 9 and whose…

A: Volume = 62.35Explanation:Explanation:

Q: Use a sketch to find the exact value of the following expression. tan cos 10 26 Which of the…

A: Answer:Option C. The correct triangle to find the value of the expression is Option C. Here's…

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

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Q: | x- and y-intercepts Z #9 Find f (x,y,z) if f(x,y,z)= 32²x² - 13y²+212 Pzy +XZ хуг у de ху

A: fzy​=(x2+y2)22y​−y2x​Explanation:Hope it helps youplease ask if you gets any doubt please give your…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

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Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: - #13 Given z= f(xy) = ex+2y= en (-x-y) +xy² a) Evaluate f(-2, 1), (b) Estimate the "error" in the…

A: a) -1b) (-1.15,-0.85)Explanation:a)  b)

Q: Use the table of values of f(0) = cos (40) 0 to estimate lim f(x), if it exists. 0-0 0 -0.1 -0.01…

A: From the definition of limit, limit does not exist when the left hand limit and right hand limit is…

Q: Express the given rational function as a sum or difference of simpler rational functions

A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4: