A small radio transmitter broadcasts in a 25 mile radius. If you drive along a straight line from a city 29 miles north of the transmitter to a second city 34 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

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Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

A: Given query is to find the value of the limit.

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

Q: Find fractional notation for the infinite sum. (These are geometric series.) 0.1313131313...

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A: Solve the following

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Q: 1. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or…

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Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

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A: We are allowed to solve one question at a time. Kindly repost other problem in next questions. Thank…

Q: dx x² – 2x + 2 = dy

A: Given:      dxdy=x2-2x+2⇒dy=dx x2-2x+2Integrating both sides,⇒∫dy=∫dx x2-2x+2⇒y=∫1x-12+1dxLet u=x-1.…

Q: Find the critical numbers of the function f(x) : 6x – 15a* + 20x – 1 and classify them. Round your…

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Q: dx x+

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Q: a. -25 -5 b. -40 3. с. 40 0 d. 25 13. A bug is moving with velocity v(t)=t - 6t +8 for t2 0. Find…

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Q: Use the Root Test to determine whether the series is convergent or divergent. 1 + n- 4 Identify an…

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Q: 6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under…

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Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

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Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: Find the domain of y = log(2 – lx). The domain is:

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Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: 30° D.

A: Please see the below picture for detailed solution.

Q: Tutorial Exercise Determine whether the series is convergent on Š1+ 10" n=1 Step 1 The series 1 +…

A: To solve the following problem

Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: (a) Evaluate the double integral.

A: answer is in next step

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 lim t+ 6t2 + 7' 5t (?, ?)

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Q: If 5a + 3x + ry = 1 and y(1) = - 7, find y'(1) by implicit differentiation.

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Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

A: 2 critical points

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

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Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: -5 4 -3 -2 /-1 1 2 3 4 The function graphed above is: Increasing on the interval(s) Decreasing on…

A: topic- increasing and decreasing intervals of function

Q: In 2 10e a 4.

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Q: Find the equation which satisfies the separable differential equation dy – 15x dx with the initial…

A: Given dydx=-15xy    y(1)=-5To find solution:

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: the answer to Step 2 is very confusing.  Can you please elaborate how putting y=4 in the equation of…

A: Apologies for the inconvenience.   Given that where the two lines L1 and L2 intersect there y…

Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

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