Let f(x) = 3 cos x f'(x) = ƒ'( -5 ) 6 = 7 tan x

Q: Intervals on Which f is Increasing or Decreasing Consider the following. y = 3x³ + 33x² + 57x Find…

A: Concept: If a number causes the derivative of an expression to equal 0, it is critical. For a given…

Q: questions

A: *Note: As per policy only first question is answered. Question 4. Given: G(z) = (z-6)lnz

Q: | Find the general solution to the DE (x + m)dy = (nx - py)dx

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Q: Compute A³, A-3, and A2 - 2A+ I. 5 11 NOTE: Write the elements of each matrix exactly. A³ A-3 A ? ?…

A: Answer in step 2.

Q: Horizontal asymptote(s): y = f(x) = Find the horizontal and vertical asymptotes of f(x). If there…

A: We need to find asymptote.

Q: 7. Find the derivative for the function f(x) =(√√√x)" 8. Find for √3x² +1(3x² +1)³ dz for Y 3x3x 9.…

A: 7) f(x)= sqrt(x)x 8)y= sqrt(3x2+1) (3x4+1)3 9) y= 3x3x

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

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Q: dy dx For the equation +7x²y = 0, y(0)=, the value of y(1) is 3

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Q: x - 3 im →3 x² – 3x

A: Evaluate the limit of the function x-3x2-3xas x tends to 3 .

Q: The solution of a certain differential equation is of the form where a and b are constants. The…

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Q: If f(x)=x+8 and g(x)=6x^(2), find (f+g)(x) and (f+g)(2) By definition, if f and g are two functions,…

A: To find out (f+g)(x), (f+g)(2).

Q: Solution of the differential equation - ytanx = sinzcos² z y² is

A: dydx-ytanx=sinxcos2xy2

Q: Evaluate [sin(5x) cos(4x)dx COS X 2 cos 9x 18 -+C (b)

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Q: Find in rectangular (Cartesian) form all square roots of the complex number w = -15+8i Give your…

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

A: To prove that the general solution to n dm+m dn+mn3dn+dm=0 is cmn=e-3n-m.

Q: 3. A ball is thrown vertically downward from a height of 240 feet with a velocity of 32 ft/s. How…

A: We know that height "h" achived by a particle with initial velocity u and accelaration due to…

Q: Find the indicated partial derivative. Please enter exponents as fractions and not as decimal…

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Q: (A) True (B) False The differential equation f(x) dx + g(y)dy = 0 is exact.

A: We know that a differential equation of the form  Mx, y dx + Nx, y dy = 0 is exact if and only if…

Q: Solve the initial value problem y′=(2x^2+2y^2)/(xy), y(1)=5

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Q: dx 2. Evaluate the improper integral S Why is it an improper integral? (x − 1)² 3. Find the arc…

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Q: Using x = tand Show that coś²o do S GEHT dbx = {cos

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Q: dy Which of the following is the general solution of x ln x +y = ln x² ? dx

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Q: Use a table of values to evaluate lim 2x³-250 Olim x+5 x²-25 2x³ - 250 Olim x+5 x²-25 2x³-250 Olim…

A: a^2-b^2=(a-b)(a+b)

Q: 4 c) f₁ 3 f(x) dx = d) fº | 5ƒ(x) | dx =

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Q: 2. Use the Method of Lagrange Multipliers to find the minimum and maximum values of the function…

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Q: A product is introduced to the market. The weekly profit in thousands of dollars of that product…

A: We have given weekly profit as  M(p) = 90 e-0.05 p

Q: lim x→∞ 8x³2x²: 9-3x - 2x² 8x³ - 2x² - lim x-∞ 9-3x - 2x=

A: We have to find the limit  according to the given information

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. x²+x-1 x² - 1…

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Q: Use the graph to estimate the slope of the line tangent to the given graph at (-3,2). 2 ㅇ 3 ㅇ O 32…

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Q: (20 points) Suppose that an object moves along the y-axis so that its location is y = x² + 8x at…

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Q: 3. A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the…

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Q: A B -3 -2 2 3 The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ +…

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Q: lim tan 7t t→0 t sec t ||

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Q: Find the present value of the ordinary annuity. 40) Payments of $450 made annually for 13 years at…

A: Given: Value of each payment = $450 Number of Periods = 13 Interest rate per period = 6% = 0.06

Q: The triangle represents one-fourth of some whole shape. What might the whole shape look like?

A: The triangle represents one-fourth of some whole shape. To determine how the whole shape will look…

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: substitution u = √x to evaluate √√√x+1 s X dx

A: The objective is to evaluate the integral.

Q: Solve the initial value problem 11 -x dx - y = ¹²e³; y(0) = -1 dx 8 Find the general solution ● (x²…

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Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 3 s = ²²…

A: Concept: Velocity is the rate of change of displacement that is  v(t)=ds(t)dt Acceleration is the…

Q: 5) Given the following triangles AABC, solve for the remaining sides and angles. (If the triangle is…

A: We need to solve for triangle. NOTE - As per Bartleby guidelines we can solve one question. Please…

Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

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Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Concept: Starting from the point (0,1) a child circles around counterclockwise If it takes 1minute…

Q: K Evaluate using integration by parts or substitution. Check by differentiating. [(5x²-2x) e 7x dx…

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Q: -1 B) 0 C 1 Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x,…

A: We need to find out the result after the multiplication of the integrating factors of both the…

Q: 2. A survey line AB crosses a river obliquely. P and Q are two points selected on the line one at…

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Q: Question 5. Use the substitution u = √x to evaluate the integral √√x+1 | √√₂ X dx

A: Here we have to evaluate the given integral.

Q: 3 divided 5

A: Topic- division we are given, 3 divided 5

Q: Remaining Time: 00:38:21 Find the polar form re 0 for the complex number z = -√2+i√2 Give your…

A: The objective is to find r and theta.

Q: Evaluate lim (x,y,z)→(π,0,3) ze -2y cos(2x)

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Q: Which of the following is not a first order linear differential equation? dP dt = y²-y +2Pt = P + 4t…

A: In a differential equation, when the variables and their derivatives are only multiplied by…