What is the slope of f(x) = (3x+2)(4x-5) at x =-2

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: 16. A curve whose slope at any point is 4x +1 passes through the point (-1,4). What is its equation?...

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Q: Find a particular solution to the ODE below using undetermined coefficients. Use t as the independen...

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Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: We say that the vector field F is conservative if and only if V × F = 0.

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Q: lim + sin(x)cos(x) 1+ In (x)

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Q: f(x) = x2−4x+7  What are the steps to find this in standard form, finding the vertex, x and y inter...

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Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) >0 for every x on some interval I , then f(x) is increas...

Q: Given the following function f(x,y) and a positive number ɛ, find the largest possible value of ô >0...

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Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

Q: The functionf is graphed below. State the values that fulfill the following requirements. If there a...

A: As per bartleby guidelines we are supposed to answer only 3 subparts per question. This question con...

Q: Hind the valve of a and b that make f Continuous evergehe overyuhere fex) = sacs Itb ?f I<X Cos e

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Q: sin³ydy |1+ cosy The is equal to 1 A.cosy +, cos²y+C 1 B. –cosy +, cos²y + C 1 C.-cosy -, cos²y + C ...

A: ∫ sin3(y)dy/(1+cos(y)) here put the value sin2(y) = 1-cos2(y)           = (1+cosy)(1-cosy) put this ...

Q: #11

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Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: A graph of y= f(1) is shown. In the same coordinate system, sketch a graph of the derivative functio...

A: The given graph is of a parabola with the vertex (0,-1). So, its equation is: y=a(x-0)2-1⇒y=ax2-1......

Q: D Screen Shot 2022-03-09 at 6.16.05 PM 山 Q Search An equation for a cubic function with zeros 1, -2,...

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Q: Question 3: Evaluate the following limits, if they exist, by using the graph -5 -4 -3 -2 -1 3 -1 -2 ...

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Q: s2-2s+4 4. F(s) = s4 –1

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Q: z = 3x1 + x2 sujeto a x1 + x2 < 4 min X1 + x2 2 2 X1 – X2 2 2 X1, X2 2 0

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Q: If y = e2 then y = e² Select one: O True O False

A: We will check if the problem statement is true. 

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). -3 -2 -1 0 ...

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Q: Let R be the region bounded by the following curves. let S be the solid generated when R is revolved...

A: Volume of solid of revolution

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and U = %3D = cos î + sin r î. Use the Theorem above to find...

A: Here, the given function is: f(x,y)=3x2-4y2 which is differentiable. And, U→=cos 13π i^+sin 13π j^

Q: f (t) = t5 e(1-t)

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Q: Question 1: Find the limits of the functions below a) lim,-3 2x3 sin x b) lim,

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Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos (x' y)j. (Give an exa...

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Q: 1 + 10/x| dx 3x3

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Q: The statement g(x) dx = S" g(y) dy is, A true B. false C. sometimes true D. neither true nor false

A: To Check : ∫abg(x)dx=∫abg(y)dy is true or false

Q: (a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magn...

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Q: Evaluate 4dx (5x – 3) O 4/5 In(5x-3)+c O 5/4 In(5x-3)+c 5 In(5x-3)+c O 4 In(5x-3)+C

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Q: The voltage V across a resistor in an electric circuit is the product of the resistance and the curr...

A: We have to find dv/dt at t=5 seconds.

Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: (i) f(t) = (t³)(t°) is an odd function. (ii) L",(sin x) dx # 0 . (iii) Given the Fourier transform p...

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Q: dy sec x.tan x dr

A: Please refer to the image below

Q: Please answer with solution help

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Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: 2. Find the domain of the following functions: 3 a). h(2) = %3D 4-2 b). f(x) = VE– 4 c). g(u) = 4.

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Q: Differentiate: y = 2sinx/e O a. y' = (cos x- sin x)/e O b. y = (2e*cosx - 2e*sinx)/e2x O c. y (2e*si...

A: Please see the solution below.

Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are perpendicul...

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Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A: The given data is: The rope is pulled in at a constant rate of 2 ft/s, and the capstan is 4 ft verti...

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

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Q: 2 1 2 A = = | 3 -2 4 -3 -5]

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Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.8 10.7 17.1 24...

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Q: 1. f(x) = (5x2 + 3)(2x³ = 3x – 4) 2. f(x) - (3x4 – 4x3 + 2x – 7)3 -

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Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: Given x+2y+3zi=20+5i Equation 1 5x-3yi+12z(1-2i)=-50-180i Equation 2 x+yi+2z=20-10i Equation 3

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4. Th...

A: Topic:- function and derivatives   

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ + 1...

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the solutio...