O Use L'Hopital's Rule. x²-25 x-5x²-9x+20 5. lim

Q: Suppose that 43 of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: The line that is normal to the curve x² + 4xy-5y2 = 0 at (4,4) intersects the curve at what other…

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Q: Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x).…

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Q: Which equation choice could represent the graph shown below? 8241228 20 16 10 -10-9-8-7-6-5 -4 3-2-1…

A: solution:-according to the given graph of f(x)roots of f(x) is at :x=-3,…

Q: Q5. (Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of…

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Q: (₂x), _UIS L y = 7

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Q: implicit differentiation to find 1+ siny=2y-x³ dy dx and then d'y 2 dx Write the solutions in terms…

A: Find dydx  and d2ydx2  1+siny=2y-x3

Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: Use the chain rule to find the derivative of 6√10x8 + 8x7 Type your answer without fractional or…

A: Topic- Derivative of a function We are given f(x)=610x8+8x7Formulas used:chain rule:…

Q: Find the general solution of the differential equation xdy + (x^2- 2y)dx = 0. O y + (1/2)x^2= c O y…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: 2пх2є 2πx²e³dx 0 akes a negative value? or example, an (incorrect) answer would be c ≥ 3π. Notice…

A: Given query is to find the value of c for which integyis negative.

Q: Find the critical numbers of f(x) = 5x³ + 6x² - 4x + 120

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Q: скоеалете 11 Tuesday # How many tangent lines to the curve y=x_q x-9 1 pass through the point (1,…

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Q: Use the Rational Root Theorem to determine the possible rational zeros for the function f(x) = 3x¹ +…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: solution:-r(x)=x-1x+3x+1x-7x-interceptr(x)=0x-1x+3x+1x-7=0x-1x+3=0,   x+1≠0, x-7≠0x=-3, 1x-intercept…

Q: Suppose that f(x) = 15x - 8 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

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Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: dors de lim (3x - √90c²-5x+7 84∞

A: Topic - Limits We are given limx→∞3x-9x2-5x+7

Q: Answer the following questions about the function whose derivative is f'(x)=(x-2)(x+5)(x-9). a. What…

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x² + 2y² = 24 Please…

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Q: Find the derivative of the function f(x) = f'(x) = sin x 1 + cos x 2

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Q: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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Q: The edges OP, OQ and OR of a tetrahedron OPQR are vectors p, q and r, respectively, where p = 2i +…

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Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: Evaluate the triple iterated integral. 2 [² [²xyz³ dx dy dz 1

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A: Given function: fx=x8/9 on the interval -8,9.

Q: 2. Evaluate the integrals 1 zx+z a) b) c) 6xzdydxdz 000 3 1 √1-z² SSS zey dxdzdy 000 1 2x y [ […

A: To find:- ∫01∫0z∫0x+z6xzdydxdz ∫03∫01∫01-z2zeydxdzdy ∫01∫x2x∫0y2yxzdzdydx

Q: Find the limit. 7 lim (1 + 2x)2 Inx X-8 7 = lim (1+2x)2 Inx | (Type an exact answer X→∞

A: Given query is to find the Indicated limit.

Q: Consider the following function, f(x), on the interval [-1, 8]. Absolute Maximum 1. Find the x value…

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Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: Find the point on the line 4x+3y−4=0 which is closest to the point (2,−3)

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Q: 3. (a) Evaluate lim 818 3x¹ - 4x² + 7x - 1 -7x4+x³+4 (b) Determine the equation of horizontal…

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Q: Evaluate (2x−y) dx + (x + 9y) dy. C: x-axis from x = 0 to x = 6

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: Given ysin(x)-xy2=c

Q: B. Solve the following word problems. Express all answers in simplest form with the correct units.…

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Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: The number of users on a website has grown exponentially since its launch. After 1 month, there were…

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Q: tan(x) – 4 sec(x) f'(x) = cos(x) + 4 sin(x) If f(x) = f'(-3) = -.43 then: I q X

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Q: A landowner has 475 m of fencing material with which to enclose a rectangular space divided into two…

A: Topic - Application of derivatives We are given, Maximum length of fencing material to be used =475m…

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A: The given function is: f(x)=e-x      over the interval  0, 4

Q: A commercial cherry grower estimates from past records that if 45 trees are planted per acre, each…

A: Topic - Application of derivatives We are given A commercial cherry grower estimates from past…

Q: C Suppose a company's revenue function is given by R(q) = q³ + 280q² and its cost function is given…

A: Part A) Write the profit function Pq as the given cost function Cq=290+12q subtracted from the given…

Q: (1 point) Consider the following function, f(x), on the interval [5, 9]. Absolute Maximum 1. Find…

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Q: Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential…

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