16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mil away from the station.

Q: S(x + ex+1) dx 0 2. Sx5¹2 (x³ + x² - 7) dx 0 2x + 1 3. dx 2 0 e

A: Topic = Integration

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Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

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Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

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A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…

Q: Let F(x) = [² costdt. Find F'(x).

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: a. Set up an integral for the length of the curve. b. Graph the curve to see what it looks like. c.…

A: Explanation of the answer is as follows

Q: 1215 + 1² + t³ - tdt

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Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

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Q: 6. Integral Df ef

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Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

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Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: if a = 7 and b=4, whats the value of f'(7)? 8|77|80 IN TA O a) Ob) Oc) =/ a) 1/2

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Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

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Q: The following differential equation (+1)² + 2²/ x2 dy x² has an order of 02 3 01 = sin x

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Q: Evaluate the following antiderivatives. S 4x dx 4e e8x +4

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Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

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Q: Use the matrices below to perform the indicated operation if possible. 6 B-[-3.0-[1] C [89] -4 = If…

A: Performing the indicated matrix operation

Q: Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2.

A: Area enclosed by curve r=f(θ), α≤θ≤β is given by  Area = 12∫αβr2dθ

Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

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Q: A region bounded by f(x) = 3 − x, y = 1, and x = 0 is shown below. Find the volume of the solid…

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Q: Graph the linear inequality. 4x-y < 4 CIB Use the graphing tool on the right to graph the…

A: Here we will draw inequality,

Q: 15. integral sin 4x cos 4xdx

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Q: Evaluate the limit given below. lim 9ti+ 1²-16 1²-4t j+ k 2 (→ 4

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Q: SSF-n de of F-xy 1-2 k outward (normal away from the z-axis) through the cone z-6√ Use a…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: We will use calculus of two variables to find the required information about the function.

Q: ƒ (t) = -{ 5,03

A: We know the followingLf(t)=∫0∞e-stf(t)dtLeat=1s-aLtn=n!sn+1Lsinat=as2+a2Lcosbt=ss2+b2

Q: Write in sigma notation and evaluate the sum of terms 2¹ for i = 3, 4, 5, 6.

A: Topic = Series

Q: sint do соби Ө

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Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = (4…

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Q: Test the following series for convergence or divergence. State the test you are using and show all…

A: We need to check whether the given series diverges or converges.

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A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: 2 2. √(√x-3) dx

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

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Q: Find the slope of the line, and sketch its graph. 7x-6y=42 Find the slope of the line. Select the…

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