1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y = √²-25 at the point (13,12) 2

Q: Let f(x) = {3x + 2, x < c {2x -3, c < x < 8 Find the value of c so that f is continuous at that…

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Q: 1. Calculate the following limits (showing all working): log₂ (n) + 2n no log3 (n) + 3n (a) lim √7n7…

A: We have to find the limits.

Q: An airplane traveling at 600 mph at a cruising altitude of 6.5 mi begins its descent. If the angle…

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Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: Let z дz ?x дz ду = = Gexy³. Then:

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Q: Straight line whose y and x intercepts are equal

A: Here is the solution:

Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of…

A: Since, we have been asked to solve through increment method which state that:-limh→0fx+h-f(x)hAs we…

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

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Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

A: Given query is to find equation of the line L.

Q: (Initial Value Problems) Solve the following initial value problems: dN (a) d = t-, t≥ 0, N (0) = 60…

A: Given IVP   is dNdt=t-13         t≥0 , N(0)=60

Q: Which of the numbers 1, 2, 3, 4, 5, and 6 are critical numbers of the function graphed below?…

A: Given,

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. = e-4/√n lim…

A: Given  an = e-4n.

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Use the graph off to determine each of the following (a) the domain off (b) the range of f (c) the…

A: determine the following by using graph

Q: A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two…

A: Given that : The bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood. The…

Q: Problem 6. Find a function f(x) whose derivative is f'(x) = x² √√√x³−1+x³ and which satisfies f(2)=…

A: Given,            f'x=x2x3-1+x3 and f2=1To find : Find the function fx.

Q: Evaluate the integrals 2. 88 1 Ĵ dx 3 x(lnx)³

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Q: Find the value of the constant c that makes the following function continuous on (-∞o, ∞o). if s €…

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Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

Q: 9. Simplify each vector operation. a) j-(-)) ī b) (ixj).k 1 c) (ixj)xk ī

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Q: Question 10 Powermakz Telephone Co. charges P7.50 per minute for the first 5 minutes of local…

A: Given :Charges for first 5 minutes = P 7.50Charges after 5 minutes = P 0.12

Q: Answer

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Q: G(r)=3r^3/2 + r^5/2 /r  *differentiate the function How do I approach problems like this? Like…

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Q: Using the limit-ratio test, showt that a) 3n+2 lg n+1 = 0(2¹gn) b) 2 = (n² + 2n)

A: The following results will be used for the given asymptotic relations will be used: Consider two…

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: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: solve  log10(x+3)-log10 X =1

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Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: solve ABC subject to the given conditions, if possible. Round the lengths of the sides and the…

A: here three side of triangle are given a = 16.1 b = 18.3 c = 28.5 apply cosine formula and get angle…

Q: Directions: Consider the following function f(x) at a = 4. f(x) = -2x - 10 Part 1 - Difference…

A: Here we have to solve the 3 parts

Q: Let f(x) = 4√ If g(x) is the graph of f(x) shifted up 2 units and left 4 units, write a formula for…

A: find the equation of g(x)

Q: Let -x+b, f(x) = { 1, Answer: b = (a) For what value(s) of b is f continuous at -3? −3, Answer: b =…

A: As per Bartleby rules we are supposed to answer the first three subparts at once. Please post the…

Q: 8) (4+8)+16-9+24÷6 10) (2+8)+10² +60÷10 =12

A: Given expression, 8. (4+8)+16-9+24÷6 10. (2+8)+10²+60÷10

Q: 7μ Match the point in polar coordinates -2, 4 OA (2.) OB (2, 3) oc(2.- OD(-2,7 X $ to the points A,…

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Q: Solve the DE (2xy+y)dx+(x^2-x)dy=0 hint: Variable Separable a.y=cx(x+1)^-3 b.y=cx(x+1)^-3…

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Q: Evaluate the integrals 4. /2 tan xơ

A: We have to evaluate the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) [sin³2 sin³ 20 √ cos 20 de

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Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: Given, B(t)=3.0+0.25sin2πt5.2

Q: Solve AABC subject to the given conditions. Give an expression for the exact value of each side in…

A: We can find the required values in the below steps.

Q: 1. Given the algebraic function x² xy + y² = 3

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Q: (a) Is it true that cos (2-60°)=2 cos 60°? Give exact answers in simplest form. (b) Expand cos…

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Q: 10) (2+8)+10² +60÷10

A: BODMAS Rule As per the BODMAS rule, we have to solve in the sequence of Bracket, Order(Powers),…

Q: Determine the equation of the line tangent to the curve y = 4( 4(x+3) y = at the point (5,64).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. A log is dragged along the ground using a 120N force on a rope attached to the log and making a…

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Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: Let's solve. Two integration statement given.

Q: Find the derivative of f(x) = 2x³log3(2x5-9). O O a.) b.) c.) d.) ƒ'(x) = · 16x7 (2x5-9)In3 f'(x) =…

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Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by 5x340x² +…

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

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