Find the indefinite integral. (Use C for the constant of integration.)      x4(5x5 + 6)3 dx

Q: 2 3 S (x+1)² 1 2 x +2x +x+2 -dx ₁

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Q: Find the critical points of the curve: y=1/3 x^3 -1/2 x^2-2x+2 and specify what kind of points are…

A: y=1/3 x^3 -1/2 x^2-2x+2 for find critical point we have to  derivate the function and after take…

Q: _ƒ(x) = 2 sin X at x = 0.

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Q: Suppose a recent college graduate's first job allows her to deposit $250 at the end of each month in…

A: NOTE: Refresh your page if you can't see any equations. . here we have PTM=250 (monthly payment)…

Q: Use the Integral Test to determine the convergence or divergence of the series. 2 Σn=15m+7

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Q: Write out the first three terms of the Maclaurin series for f(x) = 7 1 = 7 ( 1 + 2 ) - ³. The…

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Q: Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or…

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Q: Compute the radius of curvature a the curve x=2y^2-3y at (4,2). 97.15 O 6.63 O-97.15 O -6.63

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Q: Find the sum of the first 14 terms of the geometric sequence 1 9,  1 3, 1,   . (Round your answer…

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Q: Compute the coefficients for the Taylor series for the following function about the given point a…

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Q: 4. Find the critical points of the following function 2 f(x) = =+ lnr, I>0. I

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Q: bullet is fired into the air with an initial velocity of 1000 feet per second at an angle of 55°…

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Q: Draw and label diagram to help solve the related-rates problem. The radius of a sphere decreases at…

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Q: uppose f(x, y) = a) ▼ ƒ(x, y) = = 1 ⇒) ▼ƒ(-0.7, 7) = tan(x) + y and u is the unit vector in the…

A: The given function is f(x,y)=sqrt(tanx+y) Point = (-0.7, 7) Direction =<2,3>.

Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: couple received a $131,000 inheritance the year they turned 48 and invested it in a fund that earns…

A: According to the given data we have the following: present value of deferred annuity=$131,000…

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

A: given f''(x) =4x2

Q: 2. Compute the following limit. If L'Hopital's rule is used at any point in your calcula- tion, make…

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: NOTE: Refresh your page if you can't see any equations. .

Q: f(x) = x³ − 15x² +27x2. F

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Q: This figure shows the portion of the sphere whose surface area is computed in the example. Video…

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Q: How much must be invested at the beginning of each year at 12%, compounded annually, to pay off a…

A: It is given that  We need to invest some money at the beginning of each year at 12%, compounded…

Q: 22 Use the method of variation of Solu Parameters to find the particular solution of the following…

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Q: Solve the equation x² + 7x = 30. O A. x = 15 and x = -2 O O B. x = -6 and x = 5 C. x=-10 and x = 3 O…

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Q: Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: Find the derivative of the function. g(x) = 6x ² - 1 [Sx U 4x u²+1 du

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Q: mange the point (-2,2, from rectangular to cylindrical coordinates and spherical coordinates. √²-25²…

A: Given ;  Point = (-2,2,1).

Q: Find the requested value (to the nearest dollar) and tell what each of the other values represents.…

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Q: Find the most general antiderivative F(x) given the function below. f(x) = -10 sec² (x) - 6 csc² (x)…

A: ∫sec2dx=tanx+c∫csc2dx=-cotx+cwhere c is constant of integration

Q: Find the equation of the plane tangent to the following surface at the given points. 2 2 2…

A: Given surface equation:- x2+y2-z2-81=0

Q: State where the power series is centered. (-1)^(x-4)2n (2n)! n=0

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Q: Estimate f(-1.02, -0.97) given that f(−1, −1) = 3, fx(−1, -1) = −2 and fy(-1, -1) = −1.

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Q: and the length of the curve. y = x 2 + 1 10x³ 2≤x≤4

A: We know that length of curve is given by A=∫ab1+dydx2

Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x=4u+3v, y = v — 3u…

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Q: Find the derivative of the function. g(x) = 4x² 1 tan(x) V7+ 4 dt

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Q: Let ƒ be the function given by f(x) = ln (23). What is the domain of f?

A: The answer is given below

Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle in the range 0 0. A.…

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Q: Given f(x) = 6x + 3x, find intervals of concavity and the x-coordinate of any inflection points.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 3 + 2y²,…

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Q: 4 12d2= -dx = x² - 1 (A) B D 4 ln x² - 1| + C 2 ln+C 4sin ¹x + C 4tan ¹x + C

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Q: 7 п 6 S y 4 3 2 4 ·10 Average rate of change = Number 6 Estimate the average rate of change from z =…

A: To find the average rate of change of function

Q: Find the largest open interval where the function is changing as requested. Increasing f(x) =…

A: Find the largest open interval where the function is changing as requested.Increasing f(x) = 1/x2+1

Q: Which of the following expressions is equal to (A) B (С) (D) 2 1.² 2 S. ² 1.² X 2 X 5 X 3 - 3 4 3…

A: Solution: Write the fraction using partial fraction decomposition.

Q: At what point (x, y) is the function f(x) = 2 - 4x closest to the origin? Enter an exact answer.…

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Q: The value of the following limit is -1 Undefined +∞o None 1 0 -8 limn →→+∞ en+1 Senti dx x ln x

A: According to question,Given Limit,limn→+∞ ∫enen+1dxx ln x

Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

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Q: (c) You are given the point (3, 2) in polar coordinates. (i) Find another pair of polar coordinates…

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Q: 2x³ + 3x² √1+2x3 dx 2.S 2²/1

A: I = 2∫  2x^3 + 3x^21 + 2x^3dxI = 2∫  2x^3 1 + 2x^3dx + 2∫   3x^21 + 2x^3dxI = 43∫  x . 3x^21 +…