first-order

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

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Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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Q: 3. Find a power series representation d 1 Hint: use - [In(x + 1)] x+1 dx for f(x) = ln(1 + x) and…

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Q: a. given the functions f(x)=cosx and g(x)=sqrt 10+x determine the value of g(f(pi)) options : sqrt…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: Determine the total number of arrangements of the digits 173174561737 so that no 7s occur next to…

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Q: Consider the following. u = (-2, -7, -5), V = = (-8, 3, -6) (a) Find the projection of u onto v. (b)…

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Q: 29. a) 5) The displacement of a particle is given by the equation s = 1³-152² + 63t, where s is…

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Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: Problem 7. Answer: Find #L if y = 7x45

A: To find dy/dx at point x=1

Q: √9-x Consider the following double integral 1 = So So By reversing the order of integration of I, we…

A: Mark the limits on the graph and then reverse the order

Q: 3x²+2 0 2x²+4x+3 Sort dx

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Q: Use linear approximation (or differentials) to estimate the given number. Estimate sin (5°) using…

A: 1. we have to find sin5° using that sin0°=02. we have to find ln3 using that lne=1 use the linear…

Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: -4 Challenge #1 y = 2x 0 Adjust the equation so the exponential function passes through the points.

A: topic- exponential function

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

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Q: 248 217 186- 155 124- 93 62- 31

A: topic:- calculus

Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…

A: We have to describe the transformation and mapping rule.

Q: 2. Find the area enclosed by T = @ cos 30-

A: We need to find area.

Q: Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: I have stated the used formula in the solution

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Prob. 4 (a) (6 pciats) If h(x) = (1 + f(x))³, where f(1) = −2 and ƒ'(1) = 3, find h'(1).

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Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: Select all rational functions. There are several correct answers. 7x²+2x-6 3 3 7x²+2x-6 7x²+2√x-6…

A: Rational Function : A rational fraction, which is an algebraic fraction such that both the numerator…

Q: is dropped s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin.…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: 2,0 Va Find the formula for f. f(x) = 0

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Q: So sin¹ (6x) cos (3x) dx

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Q: If f(3) = 5 and f ′(x) ≥ 2 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

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Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

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

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: The general equation of function of temperature is given by÷ D=asin[bt-c]+d Now we need all the…

Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 5, y(0)…

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Q: 2 f(t) = 2t² - 1, [3, 3.1] Compare this average rate of change with the instantaneous rates of…

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: Consider the following. u = 3i + 3j v = -3i+j+ 5k Find u x v. Determine if u x v is orthogonal to…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). C F(x, y, z) = 6zi +…

A: Let's evaluate given integral.

Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: question 1 please

A: Topic:- calculus

Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

A: Solution of given question is written in below steps.

Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: A box with no top and a square base has to be designed so that its volume must 108 cm³. Find the…

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Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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