1. Sketch a graph of a continuous function that satisfies all of the following conditions. i) f "(x) < 0 for -3 0 for x > 2, and x < -3 iii) f(0) = 2 and f(-3) = -5

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: Suppose that the demand of a certain item is q = 50e-0.02p. Remember, elasticity is given by the…

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Q: 12. R(y) = fr 1³ sint dt

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Q: (2) Compute the volume of the solid between the surfaces z = 100 − 4(x² + y²) and z = 0. - 4(x² +…

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Q: t on the interval [-3, 0]. 1² +1+1 (Express numbers in exact form. Use symbolic notation and…

A: Given, R(t)=tt2+t+1

Q: 8 If f(x) = 14 +₁ 7 0 O f(x) 14+ f(r) x", then f"(x) is co

A: Please refer to the image below

Q: 2. Let f(x) = x − 2 cos x on the interval [0, 2π]. (a) Find all critical numbers of f(x) inside [0,…

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Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

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Q: Using Integral test, determine convergence or divergence for Σn (Inn)³3 * n=3

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Q: 6.(x-2) dx

A: Definite Integration is the area under curve.

Q: part 1 of 3 Evaluate at 2. g(x) = part 2 of 3 Find g(-5). part 3 of 3 Find g(6). 1 x −6, x≤2 x-5,…

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Q: Use the divergence theorem to find the outward flux of the vector field F(x, y, z) = 3x²i + 4y²j +…

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Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

A: Determine the derivative

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: A supply function has the equation is p = · -q²+20, and the demand function is decribed by the…

A: for equilibrium point  supply and demand are equal there for  12q2 +20=86-6q-3q2

Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  the equation of…

Q: Question Determine the derivative of the parametrically defined curve represented by the equations x…

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Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Calculate the integral approximation Se for √₂ 741 dx. S6 =

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Q: Determine if the series below converges or diverges using the alternating series test. If the…

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Q: 7. Make a substitution to express the integrand as a rational function (a quotient of polynomials)…

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Q: Problem 6. The series n=2 1 n+1 diverges. (a) You cannot show divergence for this series using NTDT.…

A: The series ∑n=2∞ 1n+1 diverges.a To explain why you cannot show divergence for this series by using…

Q: Find an angle with 0° < 0 < 360° that has the same: Sine as 250°:0= Cosine as 250°:0 degrees degrees

A: we need to find out the angle that has same sine and cosine value for the given angle has.

Q: 5. Using geometric series, 1 1-z =1+x+x² +· Στ TL=0 find a power series expansion for the function,…

A: To find the power series expansion of given function

Q: + C NOTE: Your answer should be in terms of x and not u.

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Q: 4. rectangle has an area of 180 cm² and a perimeter of 54 cm. What are the dimensions of the…

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Q: Calculate the integral approximation S6 for 1 Så 21 dx. zº+1

A: we have to calculate the integral ∫4911+x6dx  using S6 here   a = 4   and  b = 9  and n = 6    here…

Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: If a 180-mile trip took 7 1/2 gallons of gas, how many miles can be driven with a full tank of 14…

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Q: em by insp

A: Given:   The initial value problem is (D2+2D-3)y=12    and y(0)=1 and y'(0)=3

Q: Sketch the graph of y = x³ - 6x² + 9x + 1 by first finding the following a) the intervals on which y…

A: Given :   find first derivative  equate to zero to find critical point

Q: Help please Calculate the total area of the region described. Do not count area beneath the x-axis…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  so we can write…

Q: 5/2 (b) fcsc² x dx 77/

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Q: Consider the following demand function with a constant slope. Let Q(p) describe the quantity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: For f(x, y) = e²z+15y, find the second order partial derivatives fry and fyr of the function. O…

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Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: 1. Solve for G.S. () 24" + 184 = 6 tan 3x

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Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

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Q: Determine if the sequence find its limit.) 1 { ( ₁ + 3 / 2 ) ² } 3n is convergent. (Hint: see if you…

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Q: 2. Find each indefinite integral. Show all steps. of si a) sin²(6t) · cos5 (6t)dt

A: As per the Bartleby guidelines, answering only first question because the other questions are not…

Q: Prove that, a.) lim X10 b.) lim X O 3x + 1 X+1 sin x X 1 1

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Q: man wants to set up a 529 college savings account for his granddaughter. How much would he need to…

A: Given: The future value, F = $50000 Interest rate, i = 8% Time, t = 15 years

Q: The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a…

A: Given that , ru,v=ucosvi+usinvj+vk and 0≤v≤8π , 0≤u≤1 find the surface area.

Q: 6. Use a series to find the limit. x-In(1+x) x² a. lim x-0

A: Not Since you have asked multiple question As per our policy, we will solve the first question for…

Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

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Q: Questions 4 and 5 only please

A: Topic:- calculus

Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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