1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

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Q: p.564/ use Trapezoidal method and Simpsons' rule to evaluate.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: Solve the following

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

A: we are given the function f(x)=cos(x) and the interval -π3,π3.The function f(x) is continous on the…

Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

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Q: Find the Yalue + Cas

A: Using inverse trigonometric formula achieve this expression

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: Solve the following

Q: 1 dx X +x13

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value

A: Solve for the value of X

Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

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Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: 10 %3D1

A: Formula Given

Q: Use Laplace transforms to solve the following initial value problem S y( (t) – y(t) = 8 (t) y(0-) =…

A: We need to find out laplace transform of the initial value problem, which is described in step 2 .

Q: %3D Find the area of the region bounded by y = 5x² + 1, x = 0, x = 2,y = (

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

A: Given query is to find the series converges or diverges.

Q: nd lim l Nx-3 and simplifu X-79

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

Q: Evaluate the limit using L'Hospital's rule if necessary sin(4x) lim z→0 sin(6x)

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Q: Determine the area of the gtven reglon. y = x + sin X Step 1 Note that for the glven reglon, x…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use series to evaluate the limit. X-In(1 +x) lim

A: Find your answer below

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

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Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A: This question can be solved using the concept of geometric series test and p series test for…

Q: 2. Use suitable linearization to find the approximate value for the function at point P. f(x,y) (x-…

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Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: Use series to approximate the definite integral I to within the indicated accuracy. 1/2 x arctan(x)…

A: We have to find the value of integral.

Q: Use the limit comparison test to determine if the series converges or diverges. 00 8. 23) E 8 +…

A: We can solve as follows

Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

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Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: ind the average value of the function over the glven Interval and all values of x In the Interval…

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Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

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Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: 8. Find the limit: lim E1(1 130 noisieoq Isisinle bna baoes 1aq d00

A: The detailed solution is given below Thank you

Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. Find the…

A: A detailed solution is given below.

Q: If we apply Rolle's Theorem to the function f(x) = 2x? – 4x – 7 on the interval [ – 1, 3], how many…

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Q: Use L'Hospital to determine the following limit. Use exact values. In r lim glnz

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Q: Find the limit, If it exists. x- 1 lim X---

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Q: SxV9-2x2 dx god Find .000.8S

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Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Calculate the following derivative if f(x) = 5e* - x³. %3D (Use symbolic notation and fractions…

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Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…