Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = (5x-1), x≤ 3 absolute maximum value DNE absolute minimum value 3 local maximum value(s) DNE local minimum value(s) DNE X X > >

Q: A function is given. f(t) = 5t²; t = 4, t = 4 + h (a) Determine the net change between the given…

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Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: The given function fx=x3-21x2+144x

Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: 1 6x² ex³ dx

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 22dx S 2 x²-1

A: This question is based on indefinite integral using partial fraction.

Q: Evaluate the following limits: a) lim 3x² - x + 7 x-3

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Q: 3 1 L ₁₂x²²49dx +9 -3 RE

A: We have to find value of given Integral.

Q: dx ylnx dy || y + 1 X 2

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Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

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Q: 1. Represent the given numbers on number line. a. -2 b. 45 c. 10 d. -6 e. 23 f. O g. -9 h. -10 2.…

A: We have to represent the given numbers on number line.

Q: Solve the following system of inequalities 2x+y-8>0 3x-y+6>0

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Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

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Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: 1 y dy Sza 3 (a²-y²)²

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Q: .. Consider the quadratic function y = 4-x². Using the limit definition, ind the derivative of the…

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Q: dy II. Use the Inverse Function Rule to find (show your complete solution) dx 1. x = y + y² + y³

A: Given

Q: given value of x. Show your complete solution.

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: 2. S dx x²-x+2

A: Given problem:-

Q: dP The population of a town grows at a rate defined by the differential equation dt population in…

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Q: IF y = u+ + 3u2 & u = 2x Find dx

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Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: 1 If A O True O false 1 2 32 is a matrix then A¹ = [13].

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Q: Find the transition points. y = 3x³ - 45x³ (Use symbolic notation and fractions where needed. Give…

A: We have to solve given Questions.

Q: 2x lim x-0 x²+5x

A: The given limit,      limx→02xx2+5x

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: 0 x cos nx dx X

A: Topic: Definite integral

Q: Find the maximum and minimum limits of the function f(x) = - X-2 (x+2)²

A: Given ,f(x)=x-2(x+2)2We know that ,Suppose that x=c is a critical point of fx then, If f 'x<0 to…

Q: y" + y = 3x sin x

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Q: Which of the following is equal to da? In(x) + c +c 20 +0 с

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Q: 7* +(7)* 2 7. If A. 2 = 1 then x= B. 4 C. -1 D. 0

A: using substitution and any number having power 0 is equal to 1.

Q: 7* +(7)*. 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 С. -1 D. 0

A: We will find the value of x in the following step.

Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

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Q: (a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of…

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Q: A rectangle fence was installed yesterday around gemma's house. The students from the near high…

A: Given problem:- A rectangle fence was installed yesterday around gemma's house. The students from…

Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Suppose x = ₁et + c₂e³t. a. Verify that x = =c₁e¯t + c₂e³t is a solution to x" — 4x' - 5x = 0 by…

A: Topic = Differential equation

Q: d) y = x453x-1

A: Given query is to find the derivative.

Q: f(1 ¹ (1 + 2/1/2) ² du u²

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Q: -1 1 3 Evaluate the following limits. Write dne if the limit does not exist. lim f(x) = x-1 lim f(x)…

A: We have to find the limits.

Q: eu [(= + e (+ + e" Inu - e" ln x) du

A: integration

Q: ex V1-e2x 1. S dx

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

A: topic - coordinate conversion x=rcosθy=rsinθ

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

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