38. 6x² + 7x-6 (x² − 4)(x+2) - dx

Q: y = f(x) = = x = g(y) = 4 – 7x 9 - 9x h

A: step 1: Write f(x) as y . step 2: swap 'x' and 'y' . step 3: solve for 'y' .

Q: lim sin x-0 sin(. If sin ¹(cot ¹(cos(x))) COS -¹(tan-¹(sin(x))) then find the value of a a) = π/4

A: Given expression limx→0sin( sin-1( cot-1( cos( x ) ) ) cos-1( tan-1( sinx ) ) )α ) = π4As we know…

Q: For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine…

A: Domain of  -9x2+9x-33 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range of -9x2+9x-33:…

Q: The graph of f'(x) is shown below. The graph of f '(x) NOT f(x) Area - 12 (b) Area = 16 a) [5 F²(x)…

A: according to bartleby guideline we do only first three parts of multiple questions. graph of f'(x)…

Q: Use L'Hopital's rule to evaluate the following limit. The format below allows you to enter the…

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Q: 3 Use the definition of the definite integral to evaluate (5x+1) dx. Use right Riemann sums and…

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Q: Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: To solve the following

Q: Use the remainder theorem to find the remainder when f(x) is divided by x+3. Then use the factor…

A: Given f(x)=3x6-27x4+x2-8 to be divided by x+3. To find the remainder using the remainder theorem.…

Q: Find the limit a) lim (x³ + 4 sin x) X--0 c) lim sex-s X->>0 S+sex b) lim (3 cos x + 3 sin x) x →/…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Compute the volume of the solid formed by revolving the given region about the given line. Region…

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Q: Use the graph of y = f(x) to find lim f(x). X18 a) JU 2+ lim f(x) = y = 0 y = -3 1. -2 −2+ x = -3…

A: (a) By using graph to find limx→∞ fx. (b) By using graph to find limx→3+ fx

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

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Q: Prove that if (c, f(c)) is a point of inflection of the graph of f and f''bexists in an open…

A: To prove that if c, fc is a point of inflection of the graph of f and f'' exists in an open interval…

Q: Consider the function f (x) = ln(x2 + 9). Find where f is increasing, decreasing, concave up, and…

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Q: The derivative of f(x) = 18xe is-18xe (Type an exact answer in terms of e.) +18e

A: We know that the product rules of the derivative d/dx(uv)=u*dv/dx+v*du

Q: 1 In a parallel electrical circuit the impedance Z can be calculated using the equation Z= 1 Z1 Z2…

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Q: Suppose a product's revenue function is given by R(q) = −8q² + 200q. Find an expression for the…

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Q: A collector of antique motorcycles is planning to enclose an exhibit in the shape shown below. The…

A: The sides with length x will use a material that costs $5 per foot while the sides with length y…

Q: If sinh x = 20 99 3 find cosh x, tanh x, coth x, sech x, and csch x. Given that sinh x = cosh x = 20…

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Q: Evaluate the following integral given f(x) f(x) dx = log 9-8 4 = X X if x < 1, if x ≥ 1.

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Q: X 4. Determine the exact equation of the tangent line to the function y = 3-4 cos 2 at x = T 2

A: given, y=3-4cos(x2)  at  x=π2

Q: f(x) = x2, dan g(x) = x² - 2x + 1, antara x = 1 dan x = 4 g(x) f(x) 15 0 2²-2x+ A = (2.84, 3.37)

A: The given curves are: f(x)=2x12     and     g(x)=x2-2x+1

Q: 35. Seve √x dx Hint: Let u = x¹/²

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Q: A particle moves with a velocity of v(t) ft/s along an s-axis. Find the displacement and the…

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Q: a) For event A, P(A) = TT Write down P(A'). Give your answer in terms of . b) In a group of 13…

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Q: Find the derivative of y with respect to x. y=9 sinh X 6 The derivative of y with respect to x is

A: Given

Q: Use implicit differentiation to find exy = 6y dy dx

A: The given equation exy=6y. We have to find dydx using the implicit derivative.

Q: find the radius of convergence of the series x^n/n+1

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Q: Q2.1 If f'(c) = 0, then f has either a local maximum or a local minimum at x = c. True False Q2.2 If…

A: Three statement is given. Say about the statement is true or false.  Statements are,  2.1 if f'(c) =…

Q: 1² 2t 1+1² 1+1² A submarine is traveling such that its position vector s(t)=, where s is in miles…

A: A submarine is traveling such that its position vector st=t21+t2, 2t1+t2, where  s is in miles and t…

Q: Q2-Find arclength of the curve u=v=t on the surface x(u, :(u.v) =(u.₁v.,tan-¹2) from (1,1) to (2,2)

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Q: Find the work done by F over the curve in the direction of increasing t. F = 3xyi+yj-4yzk r(t) =…

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Q: Sketch the given plane vector field and determine its field lines. F(x,y)=xi-yj Which of the…

A: We have to find the vector filed of the f

Q: Use curl to determine whether the vector field (5xy, x² + 5y³z, y) is conservative. = (a) Find curl…

A: Given

Q: Find all solutions of the equation. to the nearest thousandth. SEE EX 29. log_(2)(4x+5)=log_(2)x^(2)

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Q: f(x) = 6x from a = 1 to b=2 (a) Calculate the Riemann sum for the function for the following values…

A: To find the area of given function.

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = -1x² +800x -…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 2x + 5 3x + 3 Consider the function f(x) function there are two important intervals: (− ∞, A) and…

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Q: A model for the surface area of some solid object is given by S = 0.253w0.9020.461, where w is the…

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Q: Find the derivative of the following function. 5. f(x) = - cosh *3x

A: The given function is ƒ(x) = - cosh5(3x)

Q: 10. Find the Taylor polynomials P3 and P4 centered at a = 0 for f(x) = (1 + x) −³.

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Q: 3. The voltage of the power supply in an AC-DC coupled circuit is given by the function V(t)=150…

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Q: 7. The width of a rectangle is decreasing at a rate of 1 cm/s and the length is increasing at a rate…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: Solution: Given function, f(x)= 3/x + 1 ,[1,5] n =4

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: Question 11 2x cm 3x cm b) Show that the volume of the cuboid, V, is given by h cm NOT TO SCALE…

A: Figure 2 shows a cuboid of length 3x cm, width 2x cm and height h cm. The sum of the lengths of all…

Q: How would you obtain the real and imaginary part of the following function: F(z) = e²?

A: Real &amp; Imaginary part of the function, F(z) = ez.

Q: Hi, can you please help me complete the table

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Q: Solve the system of linear equations The solutions have the form x = a + bt, y = c + dt, z = t,…

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Q: Find the derivative of the function. y = x²ex - 2xex + 5ex y' = x² et + 3et 2

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