Use the remainder theorem to determine the remainder when P(x)= 3x^5 - 3x^2 - x+ 2 Is divided by (x-3)

Q: Consider the points A(2,3,7), B(0,3,3), and C(5,2,-4). Find a) The largest angle in triangle Abc…

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Q: 6. Find the cylindrical equation for the ellipsoid 4x2 +4y²+z2 = 1.

A: The objective of the question is to convert the given equation of an ellipsoid in Cartesian…

Q: 10) Calculate the Jacobian, J, for the given change of variables: x = -½ (u + v) and y = (u + 3v) 2

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Q: (e) 2π -π/2 |sin | da

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Q: For the cost function, find the marginal cost at the given production level x. State the units of…

A: The cost function is given as:C(x) = 15,000 + 90x + 1000/xwhere x is the production level.The…

Q: d11 is not a grade is a standard!!

A: Step 1:Part(a)(i) Yes, the graph indicates that x=0 is a critical point.A critical point of a…

Q: Suppose f" (x) > 0 on some interval (a, b). Check all of the following statements that must be true.…

A: The objective of the question is to determine which of the given statements are true given that the…

Q: (a) A four-person student council is elected each year consisting of one student from each of the…

A: The objective of this question is to find out the total number of different elected councils…

Q: Find f'(x) for the following function. Then find f'(1), f'(0), and f'(-3). f(x)=-7x-2 f'(x) = ☐

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Q: Find the length of the curve Arc length = x = 1 √(y – 3), 1≤ y ≤ 9.

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

Q: 3.) Find the indefinite integral: √ 3π² + 3x √1- 3 + dx x²

A: Step 1: Step 2: Step 3: Step 4:

Q: A box with a square base and open top must have a volume of 32000 cm^3. We wish to find the…

A: The objective of this problem is to find a formula for the surface area of a box with a square base…

Q: Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x)…

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Q: f(x)= log(3-5x), determine the domain of y=log (f(x)) the y-intercept of y=-2f (x+1) • the root of…

A: Step 1:Given that, f(x)=log(3−5x). ........(1)  Step 2:Now, y=log(f(x))=log(log(3−5x)) .......(2)…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

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

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

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Q: pls solve

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Q: Test the series below for convergence using the Ratio Test. n42 6"-1 The limit of the ratio test…

A: Approach to solving the question: Detailed explanation:

Q: Find the equation of the tangent line to the graph of f at the given point. f(x) = In (1+7x) at…

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Q: A box with a square base and open top must have a volume of 131072 cm^3. We wish to find the…

A: First, we know that the volume of the box is given by V=x²h, where x is the length of one side of…

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

A: Since S  is a cone, it's convenient to use cylindrical coordinates. Let θ  be the angle measured…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, -3), (4, -3),…

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Q: × Incorrect. Suppose that the time I (in days) for a cancerous tumor to double in volume (in cm³) is…

A: given the formula for time t:T=lnVi​−lnVo​10ln2​ we are given that:Vo=22cm3Vi=33cm3Measurement error…

Q: Make a graph about the fourth photo on the moon. (JK< just answer question in photo.)

A: Method -1: Normal Maxima and minima evaluation by derivatives.    Method 2: by graphs.  First make a…

Q: Solve the following separable differential equation; write the general solution explicitly as a…

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Q: Find the average rate of change for the following function. f(x)=5x³-3x²+2 between x = -2 and x = 3…

A: The formula for the average rate of change is: Average rate of change=b−af(b)−f(a)​ Where: a is the…

Q: Evaluate, in spherical coordinates, the triple integral of f(p, 0, 0) = cos o, over the region 0 <0≤…

A: Step 1:To evaluate the triple integral of f(ρ,ϕ,θ)=cos(ϕ) over the given region in spherical…

Q: Solve the following Differential Equations x²- a) y(-1) = 1 dx y²+1 b) + 2y = 3; dx c) dy - 4y = 4y²…

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Q: SOLVE 4e In x-In (x-5) = 7

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Q: + ऐ 2) Change the order of integration for the triple integral f² (x² + In(y) + z)dx dy dz so that…

A: The objective of this question is to change the order of integration for the given triple integral.…

Q: + ऐ 2) Change the order of integration for the triple integral f² (x² + In(y) + z)dx dy dz so that…

A: The objective of the question is to change the order of integration for the given triple integral.…

Q: Use the quotient rule to find the derivative of the function. 5x-3 у y = 2 X-8 5 II dx

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Q: A sign chart for f" can be used to tell where f is [Select] [Select] positive or negative continuous…

A: The objective of the question is to understand what information can be derived from a sign chart for…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Step 1:

Q: Use a CAS or a calculating utility with numerical integration capabilities to approximate the area…

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Q: Find the derivative of the following function. 20 s=t In |t| Which rule of differentiation will be…

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Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

Q: Consider the ODE dx /+/2y1/2 + y x1/2y/2x Let g(x,y) be that monstrosity on the right-hand side.…

A: Step 1: Given ODE is : dxdy​=x1/2ye/2πxπ/e+xπ/2ey1/2+y​ Step 2: Let the right side of the ODE is:…

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

Q: Let y(x)=3 Estimate the slope of the tangent line of y(x) at the point x = 2: nonzero numbers after…

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Q: Show working please

A: To determine the level of output at which the firm's cost is minimized, we need to find the value of…

Q: A population of rabbits oscillates 20 above and below average during the year, hitting the lowest…

A: To find an equation for the population P in terms of the months since January, t, we can use the…

Q: Use the graph to find the following limits. a. lim f(x) X-➡-1 b. lim f(x) x-1 a. Find lim f(x) or…

A: By using the graph to find the following.

Q: Prove the identity 2 Sin²x = x tan ². 1 + tan²x Use a Pythagoras identity

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Q: Consider the function f(x)=x³. (a) Find f(a + h). (b) Find f(a + h) -f(a) h (c) Find the…

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Q: Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and…

A: Step 1: Given vectors are;u= &lt;2,−1&gt; and &lt;4,1&gt;∴u=2i^−j^​ and v=4i^+j^​ Step 2:…

Q: I GOT THIS WRONG CAN YOU PLEASE EXPLAIN STEP BY STEP

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Q: The dead body of a cricket coach was discovered in a prominent hotel at noon on Sunday where the…

A: The Newton's law of cooling says that the rate of change of temperature T(t) on an object is…

Q: f(x) = 2x²+1 Draw or add images here H Question Details Done 6. Find the derivative using derivative…

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Q: 2. The following table shows the estimated populations and annual growth rates for four countries in…

A: Answer 2)To find the expected population of each country in 2025, we will use the formula for…