Consider an ellipse E with semimajor axis a and a semiminor axis b. Show that the ellipsoid that results when E is revolved about its major axis has volume V παb2

Q: Simplify the expression. 29.z-5 Z

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Q: Let f be defined from f(x) = from image. Find the limit for lim(x->1) f(x) / ln x

A: Step 1: **Use the rule of L'Hopital:**  The expression…

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A: Since m=n=2; h=10 and k=14; A=10*14=140then we get the depth of water along the points designated…

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Q: Use the Fundamental Theorem of Calculus to find 8 cos() da

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: typing

A: To solve these questions, we can use the diode equation:V=VBIAS​−ID​×Rd​Given that \( V_{BIAS} = 3.7…

Q: Find the derivative of y y = log2s e-logs√x (-x-1)/(xln5) ○ (x-1)/(xln5) (x-1)/(2xln5) ○…

A: Step 1: Step 2: Step 3: Step 4:

Q: 8:55 PM | 50.0KB/s ← اله. الله. Assignment 2 DEMC_... Q Assignment 2 1. Solve (D²-4D+4)= e² + cos…

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Q: Evaluate the indefinite integral. cos(x) 8 sin(x) + 40 dx

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Evaluate the line integral F dr, where C is given by the vector function r(t). F(x, y, z) = (x + y²)…

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Q: 2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at…

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Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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Q: Question 5

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Q: Question 17. Use logarithmic differentiation to find dy for the implicit function た dx (1+x)5 (1 −…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series and find the…

A: Step 1:​ Finding Maclaurin series of 4cos(x)​​Step 2:​ A Maclaurin series is given by…

Q: if f(x) = 15 - g(x) for [-2,2], then what is the integral of (f(x)-g(x))

A: To find the integral of f(x)−g(x) over the interval [−2,2], we first need to express f(x)−g(x).…

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A: Step 1:Step 2:

Q: Determine if the series Σ(-1)" n=1 5m³/2 + 3 3n² - 3 converges absolutely, converges conditionally,…

A: Using the Limit Comparison Test:We compare the given series with a known series whose convergence is…

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Q: The contour plot below shows the elevation in feet above sea level of a mountain in West Virginia.…

A: Sure, I can help you with that. The question asks you to set up and evaluate a Riemann sum to…

Q: Given the following points: A (4, -2, 0) and B (-2, -4, 2), find: 1. The length of the segment AB…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 2. NO Calculator allowed: At the beginning of 2010, a landfill contained 1400 tons of solid waste.…

A: Step 1:Step 2:

Q: 4. Find the sum Σ-4 2-4-- n n+1

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Q: The rational function V (t) = 390t t +4 models the velocity, V (t), in miles per hour, of a dragster…

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Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A: Step 1:Step 2:Step 3:Step 4:The integral is Divergent and ∫0∞​xln(x)dx=∞

Q: 3. h(2) = re* (a) Determine the domain (b) Determine if the graph has any asymptotes, or any kind(s)…

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Q: Rewrite the following integral as a Type 2 integral. Draw a clear, detailed diagram of the domain of…

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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: Question 6

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Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

A: 2. 3.

Q: 2. Definition: The angle of inclination is the angle, 0, made with the positive x-axis and 0°≤0≤180°…

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Q: Find the open intervals where f (m) is concave up and where it is concave down. Enter the your…

A: Step 1: Step 2: Step 3: Step 4:  Thanks.....

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A: The total setup cost for the year is $200 × (20,000 / x).

Q: Find the area of the region. two petals of r = sin(60)

A: Therefore, the area ( A ) of the region bounded by the curve (r=sin(6θ)) can be calculated as…

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A: Now:∴answer is: -1

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Q: Suppose S is the upper hemisphere z = √√√1 − (x² + y²). Evaluate the surface integral 1 al (x² +…

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Q: Homework

A: {if you have any queries please feel free to ask..}

Q: Find the smallest number n of terms needed to obtain an approximation of the series 8 accurate to…

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Q: Consider the elipse with equation x^2+4y^2 =4  (a) Find a parametrization of the elipse that…

A: Step 1:a).To parameterize  the ellipse in a counter clockwise direction starting  from (2,0). use…

Q: The area R in the plane is bounded by the curves given by (x = y^2 + 2), (y = x - 4) and (y = 0), as…

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Q: Use the geometric definition of the cross product and the properties of the cross product to make…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

A: Step 1: Step 2: Step 3: Step 4:

Q: find the first 3 terms of f(x)=In(1+x)*e^x

A: Note: The Taylor series expansion of a function f(x) around x=a is given…