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Q: Using appropriate substitution, csC x cotx the integral S dx is equal to: e+csc x

A: ∫cot(x)csc(x)csc(x)+edxSubstitute u=csc(x)+e→dudx=-cot(x)csc(x)→dx=-1cot(x)csc(x)du=-∫1udu=-ln(u)

Q: determine the vatie 84 + 5C of 206 90 12

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′(x) = e^x(x −2)^3(x + ...

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Q: 2. 조우 X*-xy y-3 Find van d

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Q: 2022x dx x2 + 6x + 18

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Q: d²z 2+ 3-2z = te-2t ; z(0) = 0 z'(0) = -2 dt2

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Q: sinx dx TI cosx t ecoSX 2

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Q: Question 2: Differentiate the functions by using product or a) f(x) = (3 – x²)· sin5x

A: Given: a)f(x)=3-x2sin5xb)f(x)=3cosxx-5

Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2 discontinu...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...

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Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: Topic:- integration

Q: The Statue of Liberty is 305.5 feet high. When the angle of elevation of the sun is 50, what is the ...

A: Solved below

Q: 5. Classify each quantity as a Vector or a Scalar. Circle the correct response: a) a car drives 50 k...

A: Topic = Algebra

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: Using the figure shown, find tang

A: Here we have to use the figure to find the value tanθ=?

Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: ()" e n n=0

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

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Q: y – y = e3t y(0) = 1

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Q: Find the radius of convergence and the interval of convergence. k(k + 10) k=1 Radius of convergence:...

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Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: 1. Find the y" of y = (4x - 3x + 1) (5x + 7) 2. Find y" given y = cosx + sin 3x 3. Find all the deri...

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Q: Question The derivative of the function tan(In(vx² – 6x +1)) is: -

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 3 %3D P4(x) ...

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Q: Find $Y if y = x-3 x -7 ond X=2++1 %3D

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Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: Find the longer diagonal of a parallelogram having sides of lengths 10 and 15 and an angle measure 6...

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Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: Given: (-8, 6) cote = -3/4 O 4/3

A: Find your answer below 

Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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Q: A lighthouse rotates its light in a circular motion with a constant speed. If the beacon of light co...

A: Given ,  A lighthouse rotates its light in a circular motion with a constant speed If the beacon of ...

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: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: 2.(Subtle) Suppose p(x) is continuous on some interval I and a is a number in I. What can be said ab...

A: The given equation is: y'+p(x)y=0 which is the linear homogeneous differential equation. That has th...

Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: 2x 3. Show that f(x): | V16+ t4dt has an inverse, and find (f-1)'(0).

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Q: The shaded region, R, is bounded by the graph of y = x² and y = 4, as shown. a. Find the area of R. ...

A: 1.Area of the region R:A=2∫04x dyA=2∫04 y dyA=2 [y3232]04A=43[y32]04A=43(8)A=323 square units

Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: Given that f(0) = 1, f(1) = 3, f(3) = 55, find the %3D %3D %3D unique polynomial of degree 2 or less...

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Q: Find the in tervals on which f are: (il In creassing and decreasing Con cave uP and con cave down an...

A: Here, the given function is: y=sin22x, [0,π]

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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