Find the derivative of the following functions. Whenever possible, express answer in factored form. 8 8. y= 4x 2x+1

Q: Write the function, y = |x| after the following transformations: 1) Reflect the function about the…

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Q: 2. Determine dy/dx of the following equation. y = a. C. dy dx = dy dx Cees || ees e2 ee² e O b. dy…

A: See this solution in below.

Q: Write a simpler function that agrees with the given function at all but one point. Then find the…

A: Given, limx→0x4-5x2x2

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient That is: If h = 0,…

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Q: 1. A balloon is released from the ground 30 feet from an observer. The balloon rises directly upward…

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: limx→ -142x

Q: Find the derivative of the function. 3 5)³ - (₁ y = 8x²-5 4-X

A: y = (8x2 -5/4-x)3  we have to find dy/dx here we use chain rule and make differentiation d(u/v)dx =…

Q: 2 12. S', [|x + 2 + 1] ²¹ dx | X -4

A: The objective of the question is slove the definite integral.

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1) = 5 Calculate f'(-1). | Hint: Use the product rule and…

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Q: K Does the graph represent a function that has an inverse? Choose the correct answer below. O No Yes…

A: Here we have to choose the correct option.

Q: Find the first partial derivatives of the function f(x, y, z) = 3x sin(y-z). 1. 2. 3. af Әх of ду af…

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: 4. y= 4-9x 4+9x

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Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: The point P(3, 20) lies on the curve y = x² + x + 8. If Q is the point (x, x² + x + 8), find the…

A: Given P(3,20)y=x2+x+8Q(x,x2+x+8)

Q: What is the value of k so thate(x-1)=4e²³x-k? dx

A: givenddxek(kx-1)=4ek2x-k

Q: g) Describe the behaviour of y=-2 x 4x+¹-6 as x → +∞o.

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Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: The given integral is 9ln(x2-x+4).

Q: Consider the curve defined by x² + xy + 2y² = 8 dy (a) Use the formula for implicit differentiation…

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Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

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Q: Calculus Distance between point P (2, -1, -3) and line 11 with equation given by (parametrically): {…

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Q: 9. For each set of equations (part a and b), determine the intersection (if any, a point or a line)…

A: I am attaching image so that you understand each and every step.

Q: Given functions f and g for which f(- 6) = 1, ƒ'( – 6) = 1, g( – 6) = 6, and g'(- 6) = 2. Evaluate…

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Q: Find an equation of the parabola with vertex (2,-4) and focus (2, -7). 2

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Q: Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

A: Given lines:- l1:r→=4,-2,-1+t1,4,-3 l2:r→=7,-18,2+u-3,2,-5

Q: Solve AABC subject to the given conditions, if possible. Round the measures of the angles (in…

A: By law of cosines c2=a2+b2-2ab cos (C)or cosC=a2+b2-c22ab

Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: Evaluate the integrals 4. /2 tan xơ

A: We have to evaluate the integral.

Q: -3 -110 lim g(x) = x→2- lim g(x) →2+ = lim g(x) = = x→2

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Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a…

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Q: The graph of f is given. 0 1 X (a) What are the domain and range of f-¹? (domain) (range) (b) What…

A: Here, note that the domain of the given function f(x) is [-3,3] which are the x values for which the…

Q: Finding the Domain and Range of a Function: f(x) = 2+4 Domain: all x 2 Range: all y-1 Domain: all x…

A: Solve for domain and range

Q: √√2 7. So 0 dx √ 2 4-x²

A: We need to find out the integration.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: See this solution in below.

Q: Do NOT use the difference quotient, find the derivatives via formula. y=4

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Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: Let f(x, y) = (- (x+y))³. Then 82f о дхду 23f дхдудх ә3f 22 || о

A: The given function is   f(x,y) = (-(x+y))5 Find the following values  ∂2f∂x∂y, ∂3f∂x∂y∂x and ∂3f∂x2y…

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: Question 1 Finding the limit: lim, 3 이를 O ㅇ 티 25 O 35 D 37 Vx+6 2+2:

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Q: Plot the points (2,0),(2,-3),(2,4),(2,1),and(2,-1).Describe the set of all points of the form (2,y)…

A: To Plot the points on the coordinate axes and to describe the set of all points of form 2,y.

Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: Problem 5. Find in two ways: (a) (b) (c) S sin 2x dx Using the u-sub u = 2x. Using the identity sin…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. ff(x)dx 0 Area…

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Q: Write and find the general solution of the differential equation that models the verbal statement.…

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Q: y = 3x³-2 5x243

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Q: Find the formula for the graph of the function f(x) given in the graph above. f(x) = 5sin(pix)+2 AN…

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Q: Question 3 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (x + y + 1) dx + (2x + 2y + 1) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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