[csc x]=-csc x cot x by using the relationship of CSC X=

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A: Given that: limx→11f(x)=-5, limx→11g(x)=-12

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A: Note:  After seeing the previous solution, we observe that the expert has provided the wrong…

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A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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A:

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A: Let the length of fence be L feetLet the width of fence be W feet

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A: According to map's direction indicator below side is in souh direction and upper side is in west…

Q: 2. 8[][

A: The objective of the question is checking the convergence or divergence of the given series.

Q: 22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

A: The given figure is:

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A:

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A: Here we have to draw the graph of given parametric equations. We have x(t)=sint+sin(t)…

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Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

A:

Q: Integrate the following. 6° 0 8x 12e dx =

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Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

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A: Please see the below picture for detailed solution.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x, y)-(0, 0)…

A: Given:- limx,y→0,0x2+y2x2+y2+81-9

Q: graph each equation.   3x - 2y = 12

A: Given data:- The given equation is, 3x-2y=12

Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If an…

A: From graph f(x) goes towards 1 at left end of graph

Q: 1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

A: y'+ytanx=cosxy(π)=0proove that  solution isy(x)=(x+c)cosx

Q: Find the given limit (x² - 1)(y² - 4) lim (x,y) →(1,2) (x - 1)(y-2)

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B.…

A:

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: Use the formula for nCr to evaluate the expression 11C4.

A: Given data:- Here, n=11, r=4 Use formula:- Crn=n!r!(n-r)!

Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

A:

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

A:

Q: Geometry A semicircle of radius r is inscribed in a rectangleso that the diameter of the semicircle…

A: Area of the rectangle=length×breadthPerimeter of the rectangle=2(length+breadth)given :-Radius of…

Q: If f(x)=−1x^3+6e^x then f′(x)=  and f′(3)=  If f(x)=−1ln(x)+2/x then f′(x)= and f′(5)=

A: Topic- derivative of a function We are given, Iff(x)=−1x3+6exf(x)=−ln(x)+2xwe know…

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A:

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: We need to set up integral.

Q: Check that the point (−2, 2, 4) lies on the surface cos(x + y) = exz+8 (a) View this surface as a…

A: To find the normal vector to the surface.

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Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

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A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

Q: Enter your answer as an ordered pair. Provide your answer below: f(x) = 7x² - 12x - 8

A: The given function is  f(x)=x2-12x-8

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A: Solution

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Q: Solve by the method of your choice:Fifty people purchase raffle tickets. Three winning tickets are…

A: Given data, n=50 r=3

Q: Find the slope of the tangent line to the curve f(x) = x³ - 4x at the point where x = 0. A) 0 B) - 4…

A:

Q: 3. If 4. If the total cost function, in dollars, is C(x) = 2x³ -1 . Find the marginal average cost…

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Q: State in interval notation where the graph is differentiable. A) (-∞, -1) U (-1,3) U (3,00) B)(− ∞,…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Order: The highest order derivative of dependent variable present in the differential equation is…

Q: Generate differential equation by elimination of arbitrary constants. 2. y=x+c₁e* + c₂e-*

A: Given: Now,    y'=x+c1ex+c2e-x' =1+c1ex-c2e-xy''=x+c1ex+c2e-x''=c1ex+c2e-x

Q: On the day of a child’s birth, a deposit of $P is made in a trust fund that pays 8.75% interest,…

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Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: DIRECTIONS Indicate the degree and determine the solution of the following equations. 3. (x² + 2xy…

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Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

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Q: An offshore oil well is 5 kilometers off the coast. The refinery is 4 kilometers down the coast (see…

A: Solution

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for - 00. 32x 3 - 6x (a) lim 16 (b)…

A: