3.2 Differentiate 3.2.1 y= x¹ tan 3x. 3.2.2_y=ln(2x²+1). e +1 3.2.3 y=- -1 the following with respect to X: Simplify your answer.

Q: Q3/ Using shifting and reflection to draw the following functions. 2- y = √1 ex 2- y = sin(x) + 1

A: As per bartleby guidelines we only give first question answers.

Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: Find all points where the function has any relative extrema. Identify any saddle points. f(x,y) =…

A: f(x, y) =4x2+6xy+3y2-4x-8 In this question, we need to find all the points where the function has…

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Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: Evaluate the following integrals using a trigonometric substitution. Hint: complete the square for…

A: Please see the answer below.

Q: It is projected that the population of a certain town will be P(t) = 2t+4+³/2 + 5000 where P(t) is…

A: Rate of increase of population=P(9)-P(0)9-0

Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

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Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

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Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

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Q: P(x, y) = 10x + 6.1y-0.007x² -0.035² where x is the number of pounds of Kisses and y is the number…

A: ∂P/∂y is the derivative of P with respect to y taking x as a constant..

Q: 4 -dx converges or diverges, and find the value if it converges. Determine whether the improper…

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Q: Find the volume of the parallelepiped determined by vectors , and

A: Find the volume of the parallelepiped determined by vectors <3,1,4>, <2,0,2> and…

Q: So x² (a²-x²) ³¹/2² dx

A: A detailed solution is given below.

Q: u=-5), v=-1-√31 (a) Find u-v. U-V= (b) Find the angle between u and v to the nearest deg 0

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Q: (6) Sketch a graph of a function, f, that has the following properties: • lim f(x) = 3 and lim f(x)…

A: Given information:  ----------------------------------------------------------------------------…

Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

Q: FIND X: 6.95460 = -0.658 + 1.41853 + 9.36 (log10 (X + 1)) + 0.40+ -0.20091 1094 (X+1)5.19

A: Given:  6.95460=-0.658+1.41853+9.36log10x+1 + -0.200910.40+1094x+15.196.19407=9.36log10x+1 +…

Q: Evaluate fx² cosh x dx

A: To evaluate the integral.

Q: Convert the degree measure to radian measure. Round to three decimal places. −46.23°

A: Convert the degree measure to radian measure. Round to three decimal places. −46.23°   Please show…

Q: Use the linear approximation to estimate In (√0.99).

A: Given problem:- Use the linear approximation to estimate In(3√0.99).

Q: If (2, 1) is a critical point of f and fzz(2,1)ƒyy(2, 1) < [ƒzy(2, 1)]², then ƒ has a saddle point…

A: Here, the given statement is: If (2,1) is a critical point of f and fxx(2,1)fyy(2,1)&lt;fxy(2,1)2…

Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Find the 4th midpoint Riemann sums of function f(x) = x³ +3 on (0,2) Blank 1 with respect to a…

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Q: sinhr²-² 2 1. lim r+0 sinhr−r

A: To evaluate: limx→0 sinh⁡x2−x2sinh⁡x−x Given limit is of 00 form L'Hospital's rule tells us that if…

Q: २ -2 el dy ely +2 e. 2

A: To integrate.

Q: Sketch the graph of y = x-2 (x+3)²

A: The horizontal asymptotes by comparing the degrees of the numerator and denominator. Vertical…

Q: Evaluate the limit using the L'Hopital's Rule 1 - cosh x lim x+0+ ln(x² + 1)

A: SOLUTION-

Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

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Q: I. Directions: Determine if the function is continuous on the given interval 1-3. f(x) 2 12-x² ; [1,…

A: 1. fx=212-x2; 1,32. fx=2-x+3; -3,-13. fx=1if x≤2x2-3if x&gt;2; 2,4

Q: Compute ff 24xyd A where R is the region bounded by R x = 1, x = 2, y = x, y = x².

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Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: note : as per our company guidelines , we support one question in one request (because these two…

Q: Evaluate the improper integral or state that it diverges. P -dx Select the correct choice below and…

A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Solve

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Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: 2 = 2(0)+7(0) + ²₂ D 6. Use a(t)=-32 feet per second squared as the acceleration due to gravity. A…

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Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2

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Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y=x³.

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Q: The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² =…

A: We need to differentiate the equation and calculate the unknown.

Q: Test for exactness, then solve.  ey dx + (2y + xey) dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: evaluate lim x →0 sin x-x 3 x

A: Given, limx-&gt;0 (sin x -x)/x³ SInce we have a indeterminate form, Applying l'Hoptials rule we…

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Q: A group of management students are creating a business plan for their proposed shoe brand Sole…

A: Marginal profit is the profit earned by a firm or individual when one additional or marginal unit is…

Q: Evaluate (2x + 3√/Y) ds where C is given in the accompanying figure. (2x+3√/Y) ds- (Tyne an exact…

A: ds = dxdt2+dydt2 dt

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: TU Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Evaluate the limits using the L'Hopital's Rule. lim (tan x)(sin x- x-1) x+2+

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