What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a decimal to 3 significant figures.

Q: Solve the inequation 1 1 5 and enter your solution set in the answer box below as an interval. For t...

A: 1/(x-6) >= 1/5 solve this inequality. 

Q: 3. Let y = cot r + (cot a) In(sin a) and y" Show that -3 cot r +2y. %3D csc² r 4. Given the function...

A: Given: y=cotx+(cotx)ln(sinx)

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: (-1)" - 1 6" n = 1 3

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Q: Find the limits of the Follo CoS \im

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

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

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Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: 12. Simplify the following rational expression for the function f (x) = 5x2 f(x + h) – f(x) h

A: Given f(x)= 5x² So, f(x+h)= 5(x+h)²=5x²+10xh+5h²  

Q: 8. . cos*xsinºx dx.

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Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: Explain stokes theorem step by step and try to solve a problem using the stokes theorem

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Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

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Q: Compute the angle between the two planes 2x + 3y + 7z = 2 and 4x - 2y + 2z = 4.

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: Given query is to find the derivative of the expression.

Q: Use the formula for the binomial series: (1 + x)" 1 + mx + m(m-1)2 m(m-1)..(m-k+1), + + ... ... 2! k...

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Q: If x=sect and Y ztan t, evaluete at 1of the Following to %3D イット

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Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"  ⇒y=(x2+x...

Q: Evaluate: 2n gn+4 O 7 94 1 1 94 (7) 94 –1 (7) 18 1+94 94

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Q: 10. Given vectors ū=[-3,2,–6]and v=[5,0,8], find

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Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: (4t°y – 15t2 – y) dt + (tª + 3y² – t) dy = 0.

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Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

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Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each si...

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Q: Given: c = 10 b 24° a = 12 Find the following item (nearest whole number and degree). b =

A: Topic = Triangle

Q: Solve the following system of equations : 3x - 2y = 18 %3D -x+7y = -44 %3D

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Q: Use logarithmic differentiation to find the derivative of the function y = 8x"("), wherer (x) = 5x ....

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Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. X Cos 8x...

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Q: A region bounded by the following curves is revolved around the y-axis. Use cylindrical shells to fi...

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Q: Max bought a new video game that was on sale for 25% off. If the regular price of the video game was...

A: Topic = Algebra

Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

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Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: Solve the triangle for which ZA = 30\degree, ZB = number. Do not use a decimal point or spaces in yo...

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Q: For positive constants c and k, the Monod growth curve describes the growth of a population, P, as a...

A: Given: P=crk+r Recall: uv=u'v-v'uv2    

Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 + ...

A: Find your answer below 

Q: 2r (1- lim

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Q: The quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is...

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Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

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Q: 5. 2r2+xy2=1 *Use implicit differentiation.

A: We have to find implicot differentiation

Q: Compute the work required to stretch a spring from 7 to 13 cm past equilibrium, assuming that the sp...

A: Given query is to find the the work required.

Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.

Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect...

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of chan...

Q: Solve the triangle for which ZA = 30\degree, ZB = 45\degree, and a = 20. Round to the nearest whole ...

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Q: Let S be the region enclosed by the graphs of y = 2x and y = 2x² for [0,1]. What is the volume of th...

A: We have to find the volume of the solid.

Q: Find y' for X= cos( sinx)

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Q: Find the derivative of the function without using the Quotient Rule. y

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Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of th...

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.