[3. 3 dx dy 1+x4

Q: 4x² √3-16x³ S- dx

A: Given query is to find the integral.

Q: Estimate the area under the graph of the function f(x)=√x+4 from a = -1 to 2 = 4 using a Riemann sum…

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Q: Design a rectangular milk carton box of width w, length 1, and height h which holds 494 cm³ of milk.…

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Q: Determine whether each series is conditionally convergent, absolutely convergent, or divergent

A: We need to find convergence.

Q: Determine whether the following series converges. Justify your answer. IM8 (4k)! k=1 (k!)4 Select…

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Q: Find the interval in which the function given by y = 4x³ - 6x2 - 72x+30 is concaved downward. O A.…

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Q: Question For the point plotted on the polar graph below, which of following is a correct set of two…

A: For the point plotted on the polar graph below, to determine the correct setof two polar ccordinates…

Q: 1. Given that sin(ryz) = x + 2y + Arctan(y), use implicit differentiation to find

A: note : -  since you have asked multiple questions but according to bartleby guideline  i only have…

Q: Find h'(x) given h(x) = 6x√√x. 3 O ○ 6x² 09√x 6x7 6+x7² None of these

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Q: Solve for t. Give exact simplified answer(s). (e-2t + 6) (e-5t - 13) = t =

A: Given query is to simplify for t.

Q: -= (x²-2x)tax (use logarithmic differentiation)

A: Given query is to find the derivative.

Q: Question For the point plotted on the polar graph below, which of following is a correct set of two…

A: For the point plotted on the graph below, to determine the set of two polar coordinates for the…

Q: Find each of the following indefinite/ definite integrals (a) [ 4v³ dv

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate the line integral, where C is the given curve.     Cxey dx, C is the arc of the curve x =…

A: NOTE: Refresh your page if you can't see any equations. . where C is the arc of the curve x=ey from…

Q: 1-2 h(r) = 1=7²³²₁ 2-3 . Find h' (1).

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Q: b. lim 2 sin(x-3) x²-3x

A: The given limit limx→32sinx-3x2-3x. We have to find the limit.

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: To determine the given limit of the function

Q: Find a parametric description r(t) for the following curve. The line segment from (6,4,8) to…

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Q: Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue-5.…

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Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

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Q: Find an equation of the ellipse with the following characteristics, assuming the center is at the…

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Q: Using x-axis, (b) y-axis, or (c) the origin. (a) Is the graph symmetric with respect to the x-axis?…

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Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter oo, type infinity with a lower case i…

A: The given limit limx→0+11xlnx. We have to find the given limit.

Q: Suppose y (a) The midline of the graph is the line with equation (b) The amplitude of the graph is…

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Q: east one real value of x? =x² +1 لاح * 1T for all real values of c. h(x) = |x| d. j(x)=x²-3x…

A: Function is differentiable everywhere on R if it's derivative is defined everywhere on R.

Q: (c) Is the graph symmetric with respect to the origin? Choose the correct answer b OA. Yes, because…

A: Solve by origin symmetry property

Q: sosyos!! ¤¤¹0 dzdxdy 1+x² 1

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Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim tan(52) Number

A: ∂tanx∂x=sec2x∂xn∂x=nxn-1by using L'hospital rulelimx→0tan(5x)x=limx→0∂tan5x∂x∂x∂x

Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

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Q: Find the area of the surface. The part of the surface z = 7 + 5x + 3y2 that lies above the triangle…

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Q: A producer of door snakes has determined that the revenue from the production and sale of x units is…

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Q: Let g(x) = = f(t) dt, where f is the function whose graph is shown. = 8 6 4 2 -2 -4 2 4 f 00 8 (a)…

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Q: Find the Maclaurin series of the function f(x) = 8x³ − 9x² - 4x +9. Determine the following…

A: We need to solve Maclaurin series.

Q: Use an appropriate test to determine whether the series converges. 8 k! Σ k=1 5 k Select the correct…

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Q: 4 √² (²+ (2 + √ 4 − (x − 2)²) dx.

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Q: 2. A spring with a 4-kg mass has natural length 1 m and is main- tained stretched to a length of 1.3…

A: Let's find position function of mass at time t.

Q: Evaluate the following integral in cylindrical coordinates. 6√36-x² 5 S S -60 0 1 1+x² + y² -dz dy…

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Q: Combine into a single logarithm: -2log(x) + log(x + 1) + 5log(y)

A: lnxn=nlnxlnab=lna-lnblna.b=lna+lnb

Q: Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment…

A: Let's evaluate given integral.

Q: Write an equation of the parabola given to the right. The equation of the parabola is 10 8 6 10-…

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5, where the value ab is as…

A: Let's find point by using Lagrange multipliers.

Q: Suppose z = x² + y5. Then dz/dt = O dx O dy dt 2r +5y- dt dx 2r + 5y dt dx 10 ¹(1)(ª) dt dx 2-+5- dt…

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Q: Find a power series representing an antiderivative of f(x) = e-(x^4) Use the power series to…

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2a cos 0 9π X π π

A: To find length of polar curve.

Q: Express x = = 3t, y = tan¯¹ (t² + e*) in the form y = f(x) by eliminating the paramet y =

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Q: Let f be the function given by f(x) = −4|x|. Which of the following statements about f are true? 1.…

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Q: Find the magnitude of the cross product A x B for the vectors A = 3.0 + 4.0j and B = 21 Drawing a…

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Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

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Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: A small house was built on an island off a perfectly straight shoreline. The point B on the…

Q: At a computer store, a customer is considering 6 different computers, 8 different monitors, 9…

A: The answer is given in step 2   Topic: Multiplication rule of counting