Find the general solution of each of the following. 1. tan x dx + y cos² x dy = 0

Q: Find the difference quotient Ci f(x) = 5x²+6x 1:G f(x+h)-f(x) h much a poccible F where h#0, for the…

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Q: If ƒ and g are continuous functions with ƒ(5) = 2 and, lim[2ƒ(x) − g(x)] = 5 find g(5)

A: Given:- limx→52fx-gx=5 and f5=2if f and g are continuous functions then need to find g5

Q: 3. f(x) = tan(sin x²)

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Q: Find the average rate of change of the function over the given interval. R(0)=√40+1; [0,12] AR ΔΘ 11…

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

Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

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Q: 7. Use linear approximation to approximate the value of 82 without the need for a calculator.

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Q: If an equation of the tangent line to the curve y = f(x) at the point where a = 3 is y= 7x - 3 find…

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Q: (2p+3; p1 Given: f(p) = 2 7-2p Evaluate lim f(p). p-1-

A: Given: fp=2p+3 ; p<12 ; p=17-2p ; p>1   From the given piece-wise function, when p approaches…

Q: 2.) If x= 3, lim In(x+h)-In(x)

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Q: Claire, Blanch, and Cam can mow the lawn in 5, 7, and 8 hours respectively. How many hours will it…

A: Here is the solution

Q: Find all the second-order partial derivatives of the following function. 2 2 w = 2x tan (x

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: How do I use the Bernoulli sub for the eq:   (  x^2 ) (dx/dt)= x^2t+3x^3 and where x( 0) =2 thanks…

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: the value X, I when solving the system X+27=82X+59= 21 in the manner of cards True Error -2,-5

A: we need to solve the system of equation.

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: How did you obtain 8x?

A: Let's solve.

Q: Iff and g are continuous functions with ƒ(7) = 10 and limx→7 [2f(x) — g(x)] = 7, find g(7).

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Q: Evaluate 9x³ cos² (¹) dx ·f92³

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Q: Does it mean that the limit of the function 2y + [[2-y]] / y^2 + y -2 as x approaches -2 from the…

A: limx→a+f(x) represents the Right hand limit )L.H.L)and  limx→a-f(x) represents the Left Hand limit…

Q: (x − 2y + 2) dx + (2x + y − 6) dy = 0 In((≈ – 2) + (y – 2)*) — 4arctan In((z − 2) + (3 −…

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Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

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Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

Q: MULTIPLE CHOICE 1. Let f(x) = x² + 2x - 5. What is the x-coordinate of a point where the…

A: Let fx=x3+2x-5. To determine the x‐coordinate of a point where the instantaneous rate of change of f…

Q: Part 2. Sketch the graph of a function satisfying all the given conditions. • The domain of f is…

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Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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Q: Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0)…

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Q: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: 1 @ lim (7² noo + 2 + 20 FABER-CASTELL Sw ☺ com nystarzen Tut 2 + + n- 24

A: as per company guidelines we solve only first question when multiple question being posted

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The function is given by fx = xx-62 To evaluate: maxima, minima and point of inflection.

Q: (-4-x)²+2 if x # -5 Let f(x) = 2x + 12 if x = -5 Calculate the following limits. Enter "DNE" if the…

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Q: or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which…

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Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: What is the interval notation for the solution set of: |8-3x|>2

A: In this question, we need to find the interval notation for the given solution set.

Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

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Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: 4. x = y² +6, x = 2, y = 0, y = 1 rotated about the line y -3

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Q: -7x lim 200 2+ 2x 15x-9 lim 1-∞ 2³ + 3x - 15 lim 818 lim 818 = r² - 2x - 10 7-13x2 lim 8118 T²+ 13x…

A: Concept: Unique real numbers are limits in mathematics. Take into account a real number "c" and a…

Q: if x ≤ 1 if r> 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

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Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: I--2+ b. lim (x+3) --2 2+2 |z+21 2+2 5 2+0+ cos 2-1/ b. lim cos z-1 2-0 cos 2-1/

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Q: Find y" for 18 = 4x² +9y² and simplify.

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Q: Question Evaluate 2x²y³ when x = 1 3 and y 1 4

A: Topic =Algebra

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: Find the General Solution G.S. 1. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0

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Q: efine the function f(x) = 3x + x 8x at 0 so as to make it continuous at 0.

A: Given function f(x)=3x3+x8x. Clearly it is not continuous as x=0

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³-5.2t where x is in feet…

A: We have to find v and a.

Q: 5. y = sec(In x) 7. y = tan (ln(5x))

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