Find the derivative of the following function given

Q: Determine whether the conversard or arguil Gre your divergend. Justify @ 1 + 1/8 + 2/27 + 2/64 t...…

A: Note: Since, the student has clearly mentioned to solve only question no. 1, so we are solving…

Q: Question 2 What is the value of lim x-0 O-6 o too 00 x² x +9-3 ?

A: We need to find here limit of our function. We can find value of limit by first rationalizing the…

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: Find the area of the given region using any method. y 1 49 - x² y

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 2. Evaluate J dx (cos³x sin³x)

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

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Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: 1. Evaluate x57x¹+192³-10r² - 19r+18 x45x³ +9x² 12²- da.

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Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a…

A: If the tangent line of a curve at a point is vertical line then its slope is infinite.

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find distance between two car

Q: 3. Arctany dy

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Q: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: 3) [3 Consider the DE: -(4x³y – 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: For a differential equation Mdx+Ndy=0  to be exact if ∂M∂y=∂N∂xand solution of a exact differential…

Q: 23. Given the triangular numbers 1, 3, 6, 10, 15,... Find the 7th and 8th term of the series. a. 26…

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Q: Which one is an improper integral? O 6 sin(x-5) x-5 S₁º O none O 6 sin(x-5) x-3 O S 6 sin(x-5) x-7…

A: Improper integral:- An improper integral is a definite integral that has either or both limits…

Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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Q: 1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges,…

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Q: Determine whether the statement below is true or false. If the statement is false, make the…

A: Given statement, logb(x3+y3) = 3logbx + 3 logb y

Q: 18 (x² +9) (x+3) -dx

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Q: f '(t) = 10 cos(t) + sec2(t),    −?(pi)/2 < t < ?(pi)/2,    f(pi/3) = 4 find f

A: Taking anti-derivative,

Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

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Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

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Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

A: We know that (a)    sinφcscφ=1(b)   1-sin2φ=cos2φ see below the calculation

Q: circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour…

A: Here we have to use the concept of derivatives

Q: Evaluate 1-(In x) x In x -dx

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Q: Given A = -1 0 22]₁ compute 3A

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Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: Find the particular solution of the differential equation that satisfies the initial condition(s…

A: Given that f''x=sinx , f'0=9 , f0=15Solution :f''x=sinxintegrate both…

Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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Q: 2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

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Q: the answer is 3+6N but i dont know why, so please go step by step/explain how you get that answer.

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Q: An equation of the form t²y" + aty' + ßy = 0, t > 0, where a and are real constants, is called an…

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Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in…

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Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base…

A: Given,       Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It…

Q: 1. (x³y³ + x²y² + xy + 1)ydx + (x³y³ – x²y² - xy + 1)x dy = 0

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Q: H III mmm WEDNE UNE CUNE . . ON 1 rs is equivalent to the yo

A: Given vector  Initial(0,0) Final(2,3) v= (2-0,3-0)= (2,3)

Q: Consider the series Σ +∞ (-1)" n=1 n Which of the following statements is true? The series diverges…

A: Correct option (b)

Q: Determine the area of the shaded region given in the following figure. The area of the given figure…

A: We have to find the area

Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: Find the largest open intervals where the function f(x) = O (-∞, -1), (-1, ∞) O (-∞, -1) none O…

A: We have to find the largest subset where function concave upward

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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