Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(2, 4, 2), R(1, 4, −1), S(3, 6, 4) cubic units

Q: The graph of f(x) is given below. Which of the conditions for continuity are true for f(x)? Select…

A: The graph of  is given below.To determine the conditions for continuity that are true for .

Q: Let f(x) = x Then the expression -5 where A is a constant and A= f'(x) = lim h→0 Using your answer…

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Q: 2 2 Given the series + 9 81 2 729 Does this series converge or diverge? O converges O diverges If…

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Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

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Q: Consider the series lim n→∞ n=1 an = an where an = Find lim an. Enter DNE if the limit does not…

A: The given series  where

Q: |Given f (x, y, z) = x4ყ326 find მნ } მყმ:2მ/მ2 Ans: 2160x2yz*

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Q: Determine the area of the surface of z = x² + y² that lies below the plane z = 4.

A: We have to determine the area of the surface.

Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: In the first bag of mixed vegetables, the ratio of the number of pieces of carrots to sweet corns to…

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Q: B. A circle is tangent to the line 2x -y + 1 = 0 at the point P(2, 5), and the center is on the line…

A: The figure

Q: Let f be an integrable function such that ff(x) dx = 4 and 2 f(x) dx = 5. Using properties of the…

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Q: Find the domain and range of the function. f(x) = -7+√√x

A: Domain is like the set of all permissible inputs you can feed into a function.Range is like the set…

Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: given that company has total cost function C(x)=45x+1280 and the total revenue function R(x) = 80x,…

Q: 8. Suppose the parabola y = 9 - x^2 is shifted three units to the right. Find the slope of the line…

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Q: x²e-3x dx

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Q: Find the solutions to the equation in the interval 0 ≤ t ≤ π. Enter your answers as a…

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Q: Calculate the physical area between y = sin(x), x = 2 and x = 5 Area = units² Simplify area to one…

A: We have to find the area between .To find the area under the curve we integrate the function y=sinx…

Q: Consider the series an where an = n=1 4n² 7n5 +2 Find lim an. Enter DNE if the limit does not exist.…

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Q: ك n=1 (-2)"-1 u9

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Q: 7. 4 Given the region R bounded by y = 9 - x² and the x-axis, find the horizontal line y = k that…

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Q: Calculate the area under this function over the specified interval: f(x)=3x² +6x + 1; [-4,2] Show…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 9t, y = 2t,…

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Q: Question Determine all intervals on which the graph of f is increasing. -6 -4 -3 -2 -1 -2 -3 -4 -6 1…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: 8. Calculate the double integral [²[²² yey drdy.

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Q: Calculate the integral approximation Se for 6 S₂ 72²1 dx. 2

A: ∫abf(x)dx≈Δx3(f(x0)+4f(x1)+2f(x2)+⋯+4f(xn−1)+f(xn))Δx=b−an.f(x)=1x2+1,a=2,b=6, and…

Q: Consider two functions, f and g, on the interval (-10, 10). Their graphs are depicted below:…

A: The condition of a function f(x) continuity at x=a

Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the…

A: We have to set up the integral for volume of solid and find the volume.

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Find the area of the region enclosed by the curves y = 5 cos x and y = 5 cos 2x for 0≤x≤t. O A. Jody…

A: Given Functions

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Given the series ∞ n= 3 8 n-1 Does this series converge or diverge? O converges O diverges If the…

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Q: Define f(8) in a way that extends f(s) = 3 s - 512 S s²-64 2 to be continuous at s = 8.

A: The objective of the question is to determine the value of " f(8).

Q: 5. For the function: x + 3 (x² - 4) f(x) = a) Find the domain. ƒ'(x) = -x² - 6x-4 (x² − 4)² f"(x) =…

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Q: Find the area of the surface generated by revolving the curve x = 3 3 2' 0 sy≤4, about the y-axis.…

A: Styg

Q: d) Evaluate the definite integral, correct to 3 significant figures: ₁-5 lm (42) dz

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Q: The desert temperature, H, oscillates daily between 45°F at 5am and 85°F at 5pm. Write a possible…

A: The formula for H is AmplitudeTime period here Midline

Q: A Beginning with the graph of y=sinx, use shifting and scaling transformations to sketch the graph…

A: In this question, we will draw the graph of the trigonometry functions.

Q: Considera x sin x dx. (a) Evaluate the given integral using integration by parts. Be sure to include…

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Q: Find the area of the region described. 1 X The region bounded by y = 17 4 and y = x. The area of the…

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

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Q: A machinist is required to manufacture a circular metal disk with area 1000 cm². (a) What radius…

A: Area of the circle with radius r is given by

Q: Let f(x,y,z)=x² √²+z² Compute f(2, -3,2) and f(7,8,-6). f(2,-3,2)= (Type an exact answer, using…

A: we given a function

Q: To test the series series, so we could investigate convergence using other methods.) if the Find the…

A: The given series .The aim is to check the convergence of the series using the integral test.

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. 11x 7 - 2x (a) lim x→ 7+ 2…

A: To solve the following limits.

Q: Find the following limit: lim x→3 x³ − 7x² + 17x − 15 x - 3 Answer:

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Q: [r³√x x³√x² + 1 dx V

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Q: Find the function y₁ of t which is the solution of 100y" - 9y = 0 with initial conditions y₁ (0) =…

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Q: 12. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n!…

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Q: Select all that apply: -7-6-5-4-3-2- LO ← Of(x) is continuous at x = 1. 3 N N 2 + 29 1 2 3 4 5 6 7…

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