sin y dy 3

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

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Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: 1. f(г) — 2? + Зх — 6, д(х) %3 2

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

Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1 xp-…

A: solution:-∫11-4x2 dx=let x=12sintdx=12cost dt∫11-4x2 dx=∫11-412sint2 ·12cost dt=∫11-sin2t ·12cost…

Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

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Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: Holly was supposed to pay Tiffany $5,600, 6 months ago, and $1,960, 5 months from now. If she wants…

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Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

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Q: The value of E +2i+1 is i-1 139 146 124 90

A: Solving

Q: *Use the following information to answer the next ques Consider the following functions y = x'+ • y…

A: We have to find the functions that meet the definition of exponent unction.

Q: Find the equation for the tangent plane to the surface x-9xyz +y= - 11z at the point (-1,-1,-1). O…

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Q: Find the area under the given function using integration

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Q: Moving to another question will save this response. uèstion 4 Consider this function: y=-5 sin(3x +…

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: ZB — 108°, а — 21, b 3 19 %3D

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Q: Sx In x dx

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

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Q: Estimate the area under the graph of f(x) : 1 over the interval [0, 4] using five approximating x +1…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Use the Quotient Rule to compute:

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: 8x -2x3+7

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Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: y = et + 5 is a solution to the differential equation: y' = y. Select one: O True O False

A: Given, y'=y ⇒y'-y=0

Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: We have to find the distance

Q: Evaluate the summation i=1 28 10 30

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Q: Find an equation of the tangent plane to the surface z = 24 3z+4y at the point (4,3, 1).

A: Use equation of tangent plane

Q: ne area A of a circle is increasing at a rate of 167 cm² /s. Find the rate of ne radius r of a…

A: We have to find change in radius

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Let's find.

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

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Q: Let f(æ) = (7 sin a + 4 cos a)tan-e f'(x) -

A: We can find the derivative using product rule as below.

Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

Q: compute J, f(x)dx 2x if x < 1 f(x) = { 4 if x2 1

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

Q: f (x) +f (1 – 4 ) = x

A:

Q: Evaluate the limits lim 5x+ 6. undefined

A: We will find the limit.

Q: Find the area of the parallelogram with vertices K(3, 3, 2), L(3, 5, 4), M(7, 11, 4), and N(7, 9,

A: We have to find the area of the parallelogram of given vertices.

Q: Work Problem . } solutions and justify your answers. : Write step by step 1), Consider the DE x²y" –…

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Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: Which of the following symbols denotes the operation of antidifferentiation? A) C) E B) F'(x) D)

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: The eraph of a function is given. Use the graph to find the indicated limit and function value, or…

A: (a)limx→1f(x)=-3becauseleft hand limit=right hand limitlimx→1-f(x)= limx→1+f(x)=-3

Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

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Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: sinh x – 1 dx cosh x

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Q: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1