Q3. Sketch a function that satisfies the following properties: f(1) = 2 f'(x) < 0 for all x f"(x) > 0 for x < 1 f"(x) < 0 for x > 1 i. ii. iii. iv.

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Q: (b) Compute the characteristic polynomial for the following two matrices: 0 1 D = (₁-²). E = (1 ²²³)…

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Q: Suppose that C = f(x, t) = 24te¯(4-²)t represents the concentration (in mg/liter) of a drug in the…

A: Here we have given that C=f(x,t)=24te-(4-x)trepresents the concentration ( in mg/liter ) of a drug…

Q: Find the length of the curve x(t) = est cos(t), y = e5t sin(t) for 0 ≤ t ≤7. Give an exact answer,…

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Q: Use Separation of Variables to find the general solution. 2 (1 + x²) y′ = x³y (Express numbers in…

A: Given that the differential equations  2(1+x^2)y'=x^3y

Q: whether the sequence converges or diverges. If it converges, find

A: n2e-n

Q: A rectangular cardboard box is made with a square base and an open top. The box has a volume of 864…

A: A rectangular cardboard box is made with a square base and an open top. The box has a volume of 864…

Q: Please write the answer in exact values, not decimals!

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Q: (b) Σ 4n n!

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Q: Let y = e²/3 Find the differential Find the differential dy when x = 1 and dx = 0.3 dy when x = 1…

A: y=ex3To find :           Find the differential dy when x=1 and dx=0.3           Find the…

Q: The function f(x) = 8x + 3x¯ maximum. This function has a local maximum at x = with value and a…

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Q: Find the critical numbers and absolute extrema for y = interval [1, 4]. Type DNE if an answer does…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Use implicit differentiation to find 1. x¹y+xz+y²z² = 9 əz əx

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 In(x) (a) Find the…

A: Consider the given function. fx=x4lnx

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A: Given: Marginal profit of the product is P'(x)=16-0.011e0.2x x is the number of items produced and…

Q: The following limit represent the derivative of a function f at a point a. Find a possible f and a,…

A: let function is f(x) given is derivative f'(x)=limh→0(1hsin2(π4+h)-12

Q: Inside r = 3 sin 0 and outside r = 1 + sin 0

A: We have given two polar curves and we have to find the area of region.

Q: Consider the following function. f(x) = 2x 1 - -10 X 0.5 0.9 0.99 0.999 y X 5 10 100 1000 -2 f(x) L…

A: We are given the function f(x)

Q: Solve the triangle. If two possible triangles exist, solve both triangles and list information for…

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Q: A bag contains three red marbles, two green ones, one lavender one, four yellows, and three orange…

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Q: 12 64° 14 X (Round the answer to the nearest hundredth.) The length of side x is

A: Let triangle ABC

Q: Use the chain rule to find the value of   dz dt when  t = 1. z  =  3x − 4y2,     x  =  t2 + 3,…

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Q: Suppose that f(x, y) = ²/3 on the domain D = {(z,y) |0 ≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double…

A: f(x, y) = e(x/y)       Where domain D = { (x,y) l 0 ≤ y ≤ 1 , 0 ≤  x ≤ y3 } Find the double intergal…

Q: 2. (a) Verify that all members of the family y = 2x³ + Cx-³ are solutions to the differential eq…

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Q: If akxk converges for x = -8, then which of the k=0 following must be true? I. ax* converges for x =…

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Q: 2. Find the absolute extrema for the given function on the interval [1.2, 3.7]. Write your answer in…

A: fx=5x4lnx

Q: Instructions: In problems 1-15, use the derivative rules to find the derivative of y in each case.…

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Q: Find the present value of $80,000 due in 4 years at an interest rate of 5% /year compounded monthly;…

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Q: 8 Σ (—1)k+1xk k

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Q: Find the absolute maximum and minimum values for the given function over the specified domain. 1…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 1 4√2 9√3 16√4…

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Q: Given that f(3) = −7 and f'(3): = 1, find an equation for the tangent line to the graph of y = f(x)…

A: f(3)=-7,and f'(3)=1

Q: r=90 s=90 the radian measure of the central angle

A: r=90 , s=90To find : Find the radian measure of the central angle.We know that,…

Q: Solve the following inequality. 2x² <5x+25 Select the correct choice below and, if necessary, fill…

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Q: Given y2 - 2xy = 1 a) Find y' b) Find y" and make sure your answer y" is in terms of x and y only.

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Q: The following data represent the weight (in Candy Bar grams) of various candy bars and the…

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: What is the value of log (243) A 2.39 B 5 C 7.16 D 81

A: We have find the value of log3(243)

Q: nd the point of the form (x, f(x)) closest to (0,0), where                                    f(x)…

A: f(x)=1x

Q: ∞ <=1 k¹/4 k7/4 + ln(k)

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Q: Evaluate (x + y)ds where C is the straight-line segment x = 3t, y = (12 - 3t), z = 0 from (0,12,0)…

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Q: This  is incorrect

A: ∫∫D cos(x2 + y2 ) dA  = ?      Where D { (x,y) l 4 ≤ x2 + y2 ≤ 46 }

Q: a. Write row 8 of Pascal’s triangle, and explain how you found it.  b. Write the 11th row of…

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Q: 45° P = |P|=49 a Find the component form of the vector shown above.

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Q: Find a²z ds, where C' is the line segment from (0,-3,3) to (-3,2,-1) C

A: We have to find the integral ∫Cx2zds, where C is the line segment from (0,-3,3) to (-3,2,-1).…

Q: Find the area under the graph of f over the interval [1,6].   ​f(x)= x+5, for x≤5 15−12x, for x>5…

A: find area of the given function over the interval [1, 6] .

Q: Find a linear approximation of the function f(x) = 1 x at a = 0.

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Q: Find the volume of the solid bounded by the paraboloids z=-3+2x² + 2y and z=3-32²-3y².

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Q: in. long and 7 in. wide, find the dimensions (in inches) of the box that will yield the maximum…

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