Use the graph of y=f(x) to graph the function g(x) = -f(x)-1. y = f(x) Ay d 2 Choose the correct graph of g below OA OC. 1 Q OB. OD. 1

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

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Q: Determine the solution of the DE=0. z = c + √t a. b. z = c√t c. z=c-√t d. z = c/ e. Cannot be solved…

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Q: verify that det(A B) = det(B A) and determine whether the equality det(A + B) = det(A) + det(B)…

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Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a…

A: Let's find value of L.

Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x>2

Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 3 O-1 0 1 O 2 T- O Does…

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Q: What value should be multiplied to (y + x³y³) dx + xdy = 0 to make it an exact? 1 (xy) a. b. (x+y)-3…

A: We have to choose the correct option from the given options according to the given information

Q: Exponential and Log Derivatives "hat is the slope of the line tangent to the graph of y = 2 In(x) at…

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Q: Find the solution to the given (y + x³y³) dx + xdy = 0¹ a. 2x²+y²(x-c) = 1 b. 2x² - y²(x-c) = 1 c.…

A: We will find the required.

Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: Luke is now twice as old as Alex. Four years ago, Luke was three times as old as Alex then. How old…

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Q: Find the derivative of each of the following. A) f(x) = 128x f'(x) = B) g(x)=x¹8x g'(x) = C) h(x) =…

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Q: Given the symmetric formula:   (x + 8)/2 = (y − 6)/3 = z − 7   Find the parametric formula of the…

A: The parametric formula can be obtained by equating the equation of given line with t

Q: 1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in R³…

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Q: 1. The following table gives the estimated stature (length, in cm) of human fetuses at various times…

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Q: Find the partial fraction decomposition of 12x³ - 37x² +48x - 36 (x - 2)² (x²+4)

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Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: cide whether the limit exists. If it exists, find its value. lim f(x) and (-1)¯ 6 2 T 09 lim f(x)…

A: We will find the required.

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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

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Q: 2x + [2x] x+ 2+ x²+x-2 aluate lim 2x + [2x] x-2- x² + x - 2 and lim

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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: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

A: Given that a mold grows at a rate that is proportional to the amount present.Initially there is 6 oz…

Q: (b) xy' - 4y = x, (c

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Q: Express the integral in terms of the variable u, but do not evaluate it. 1 e7x-6 dx; u = 7x - 6…

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Q: xy'= y inx

A: xy'=ylnx

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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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: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

Q: Frequency 8 2 15 9 13 data Class width = Q Based on the histogram above, what is the class width?…

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Q: 2√x 1. y = 5√x 2. y = e²x+lnx

A: Basic identities of derivative are used after some manipulations.

Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: Evaluate 1 lim x+h h 1 X

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Q: Given: f(p) = 2 Choices: (2p+3; p1 Evaluate lim f(p). P-2 a. b. 5 7-2p Limit does not exist c. 2 d.…

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Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: Find and draw the domain of the partial derivatives əm ¹ of m(x, y) = √x − y + √x+y. əx

A: We can find partial derivative of the given function .

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: lim [[ 2-y]] + x2 z-k+zk _2-4h (!) Y→-2+ _zy + [[2-y]] y² +y-2

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Q: Evaluate the limits. lim 12= X-7 lim X->-1 lim (5+3)= +->5 X= lim (4₂³-3₂) = X-7-1 lim X-7 lim X-7-3…

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Q: -5 -5-4-3-2-1 Evaluate. 45 lim f(x) x-1 45

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Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x<-2 x ≥ −2…

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Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x