Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

Q: A recent survey conducted in a nearby town showed that 791 out of 1,495 people do most their holiday…

A: Here, the sample proportion is =7911495=0.5291 Now, for 90% confidence z=1.645

Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: rst choose the method you propose to use: O Apply Stokes theorem n arametrize th e surface and work…

A: answer is in next step

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Homogeneous Equation ( 3x + 4y - 1) dx + (18 x + 24 y + 2) dy…

A: The given DE is: (3x+4y-7)dx+(18x+24y+2)dy=0⇒dydx=-3x+4y-718x+24y+2⇒dydx=-3x+4y-76(3x+4y)+2

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

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Q: | 121 – 51" +9 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Example 3 Video Example ) Find dx. 2 - 3x2 Solution Let u = 2 - 3x2. Then du = dx, and x dx = du and…

A: Solve the following

Q: 6. Solve the following differential equations: y'=e"(1+ y* ) a. 2+(y+2)x* =0; given y(-1) = 2. b.…

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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: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: 2x + 1 (a) lim 9x2+ x

A: We have to solve the limit

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x + 1 at (6,…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: Direction: Differentiate each function with respect to x. 1) y=5 2) f(x)= 5x" 3) y=4x +x

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: Use long division of po

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Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: HA use the Ratio test to determine it the tollowing series Converyo absolately of diverges

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Q: 5. Given R(t)= 2 sin ti+5 cos tj+tk. Find T (t) and N(t) of the mov by the given vector.

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Q: Mark the critical points on the following graph. z°e-, 17 153 136 119 102 85 68 51 34 17 Clear All…

A: Here we have to mark the critical points on the given graph.

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: -2V-6 6. The gradient of a curve is given by = 3). find the equation of the curve. Given that the…

A: Equation

Q: A hot pie is taken directly from an oven and placed outdoors on a porch table to cool on a day when…

A: Solved below.

Q: Prove the given identity. tan0 + cot0 = csc@sec®

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Q: 12 4 -3 -2 -1 -- -5 4 5 -2 -6 The function graphed above is: Increasing on the interval(s)…

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Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: The set E is part of the third octant which is enclosed by the sphere r+y +z = 3. In spherical…

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Q: -ide each of the fol x-4x²+2x-3 x+2

A: Solve the following

Q: 8. The sum below can be viewed as a right endpoint approximation for the area under the curve of…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X - 2 2- a. Find lim f(x) or…

A: Given query is to find the Indicated limit.

Q: The area of a square with sides of length s is given by A = s'. Find the rate of change of the area…

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

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Q: 4 E(-1)" sin n=1

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: dx .4

A: we have to find out the integral

Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: y = y (4, 13) 12

A: We will find the exponential function.

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: Consider the function f(x) = 4 – 2x", - 4 < x < 2. The absolute maximum value is and this occurs at…

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Q: b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of…

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Q: Sketch the graphs of f and g in the same coordinate plane. (Include two full periods.) f(x) = 2…

A: Given, f(x)= 2cos(2x) For, x=0=&gt; y= 2cos(0)= 2  =&gt; y-intercept= (0,2) For, y=0=&gt; 2cos(2x)=0…

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

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Q: e-(x²+y³)(x dx + y dy) = 0

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Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: Find the cost function if the marginal cost function is given by C'(x)=x 1/2 + 5 and 9 units cost…

A: The marginal cost function is given by,   C'x=x12+5