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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the…

A: Note: - According to the company policy we can attempt only three subparts a question so please…

Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation

Q: Find the simpler function for the function f(x)= 9x-36/3x^2-6x-24

A: To simplify the given function.

Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…

Q: 3. Find the equation of the tangent line to the graph y = f(x) at the specified point. A. f(x) = X…

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Q: Evaluate To 2 y=√x sin(y³) dy dx

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Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: Find the area of the region that is bounded by the given curve and lies in the spect r-eº, 37 ≤0≤ 31…

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Q: Find the exact length of the curve. = (1 + x²) ³/2, 18 3 20 3 10 3 y 0≤x≤2

A: To find length of the curve.

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: verify that f(x)=e-x satisfies the conditions of the mean-value theorem on the interval [0,2] Then,…

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Q: Г ID 2 те- да.

A: Given, ∫0ln(2)xe-xdx

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: Find the indefinite integral using the substitution x = 6 sin(0). (Use C for the constant of…

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Q: Q4 d. lim ²+5x+6 x²-4 x112 e. limx→∞ (1-x²)³+40x6+x 3x6 +3

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Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

A:

Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

Q: If f (x) = 6x sqrt x+ 7/x^2 sqrtx, find f' (x). Please answer ASAP and write neatly please.

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Q: For the equation, find dy/dx evaluated at the given values. y² = dy = 8x - 71 at x = 9, y = -1

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Q: 27. x² - xy - y² = 1, (2, 1) (hyperbola) 28. x² + 2xy + 4y² = 12, (2, 1) (ellipse)

A: Here not exist question 16 So i do first two questions

Q: lve the exponential equation by expressing each side as a power of the same base and then equating…

A: Given query is to find the value of x.

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s…

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: For each of the following rational functions, determine the horizontal asymptote for the rational…

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Q: Find the order Differential equation of (x-2)y'=y+2(x-2)^3

A: here we have to find the order of equation this is the question of differential equation equation…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 4 1₂2x²(x3 x²(x³ + 8)²…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: A particle moves along a hyperbola xy = 12. As it reaches the point (4, 3), the y-coordinate is…

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Q: Calculate y' if y = 4log(x³e*)

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Q: Find the area of the shaded region. 74 +3 sin(e) 0 414 D-1 41 2 32 2 41 2 EN

A: Topic = Area

Q: Evaluate each problem using your table of powers. 9) 2435 11) (25) + 10) (-27) 2 12) 144².

A: NOTE: Refresh your page if you can't see any equations. . from the table, we can write,  use the…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: x = 3t² + 3t 2t² + 5 The position of an object at time t is given by the parametric equations Find…

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Q: What is the integrating factor of (1 + cos x) y' = sin x (sin x + sin xcosx sin x 0 1 + cos x CSC X…

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Q: Use l'Hôpital's Rule to find the limit. lim X-0 2 8x² cos (x) - 1 8x² 2 Xcos (x)-1 (Type an exact…

A: Given query is to find the limit of the expression.

Q: Sketch the plane curve. (t)-4-. (0,4) y V 10 15 V 10 15

A: Sketch the plane curve

Q: The integral in this exercise converges. Evaluate the integral without using a table. 1/5 S x In…

A: To evaluate the given integral

Q: Consider the space curve r(t) = (-5t - 2, − 5t - 2, 3t + 5). a. Find the arc length function for…

A: Consider the space curve r(t) = <-5t-2, -5t-2, 3t+5>

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: Given e f* f(x) dx. evaluate f(x) = ²+1 HIN if 0<x< 1 if 1 ≤ x ≤ 3,

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Q: 4. Given f(x) = (x² – 2x − 1)²/³, determine the equation of the tangent line at x=2.

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Q: x³ dr (1 + x²

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Q: A surveyor wants to know the length of a tunnel built through a mountain. According to his…

A: A surveyor wants to know the length of a tunnel built through a mountain. According to his…

Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known are…

A: We can evaluate the definite integral .

Q: rectangular page of a textbook has uniform margins of 2cm on all four sides. If the area of the…

A: Given query is to find the dimensions of the page.

Q: (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x

A: As per the instruction, we will be answering the first question by specifying it. For (4), Given:…

Q: Evaluate So 1 y=x²/3 xe dy dx

A:

Q: A car's rear windshield wiper rotates 105°. The total length of the wiper mechanism is 23 inches and…

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Q: Find the derivative using suitable differentiation rules: + 3x + ¹) J- = 5x + sin(x² + 3x + 1)…

A: