5. lim x 70 x

Q: Question A toy company can sell x electronic gaming systems at a price of p(x) = -0.01x + 450…

A: Concept Used: Rate of change of profit In a function, the rate of change compares the difference…

Q: Solve the inequality f(x) <0, where f(x) = x2(x-4), by using the graph of the function. CIDS The…

A: Topic- inequality We are given, f(x)&lt;0 and f(x)=x2(x-4)and graph of f(x) is givenwe know that…

Q: Find a function that satisfies the given conditions and sketch its graph. 40) lim f(x) = 0, lim f(x)…

A: Solution: 40) limx→±∞f(x) =0 , limx→1-f(x)=∞, limx→1+f(x)=∞   Check each condition

Q: Assume that it costs a company approximately C(x) = 700,000 + 330x + 0.0004x² dollars to manufacture…

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Q: Let f(x, y) = 4√xy² + 4y + eªy. Use local linear approximation to estimate 4√(0.1)(0.9)² +4(0.9) +…

A: Given ;fx,y=4xy2+4y+exyx=0.1 then let x=1y=0.9 then let y=1

Q: Solve the differential equation. 2x dy + y dx = 9x5 dx 9 A y 2x11/2+cFx By = 9x5 + c)y= X4+ D)y= 9…

A: Here is the solution:

Q: Solve the differential equation. y' + 2y = 25 A) y = B) y= c) C 25 5 + ce²x ²x + e2x + ce-2x 25 + y…

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Q: Let f(x)=x^3 e^x/4. Find f'(2).

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Q: Simplify (x^2 y^3 z)(x^3 yz^2) and evaluate when x = 1/2  y = 2 and z = 3

A: Topic:- algebra

Q: Evaluate the indefinite integral: / - x² (2 – 9x³)5 - dx + C.

A: Here we have to integrate the given integral

Q: Is the following function even, odd, or neither? Select the correct answer below: Even Odd Neither…

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Q: Find the open intervals on which the function f(x)=24x^((1)/(3))(x+9) is concave upward or concave…

A: Given :fx=24x13x+9

Q: Let T: R² R² be a linear transformation that maps u = formation that maps = [4] Im [2²] into into =…

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Q: Consider the equation 9 sin (x + y) + sin(x+z) + 9 sin (y+z) = 0. (2л, -2л,л)

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Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

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Q: What is the derivative of the function: G(t)= 1-3t/2+t

A: Topic = Derivative

Q: Evaluate √ (3₁ - 1x 1 (3x - 5)(x − 3) dx

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Q: How many fraction terms are there in the partial fraction decomposition of x³ + x² + 20 ? x(2x −…

A: Given :x3+x2+20x2x-53x2+2x+52

Q: Solve the differential equation. y' e³x + 3ye³x = 4x 3x (A) y = 4x²e³x + ce³x B) y = 4x²e-3x + ce-³x…

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Q: Suppose that f6x² cos(x³) sec² (sin æ³) tan(sin æ³) esec² (sin z³) dx = G(x) + C = F(x). Determine…

A: The given integral is; 6x2cos(x3)sec2(sinx3)tan(sinx3)esec^2(sinx^3)dx=G(x)+C=F(x).

Q: (a) Express the area enclosed by the graph of y = cos(x) and the line y on the interval [0; 2π]. (b)…

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Q: Assume that the following has a linear cost function. Fixed Cost Marginal Cost per item Item Sells…

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Q: Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = - 1-2x x3 s…

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Q: Perform the indicated operations on the given vectors: 3 z - ().- (1). (₁₂₁). () (-³) = , V3 = U4 =

A: Given a vector v1

Q: 2x 2-3+ x - 3 Example 9. Find lim 2x x-3-x-3 and lim

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Q: Consider the following limit statement: lim (3x-8)= -2 x → 2 Find the corresponding value of ō when…

A: given that limx→2 (3x-8 )=-2ε=0.006we know that f(x)-L&lt;ε  whenever  0&lt;x-a&lt;δ⇔ limx→a f(x)=L

Q: 1 0 2 Find 2A, A - B and B+C or explain why it is impossible to do so. A = [000] ,B = " [102] 1 ,C=…

A: The objective of the question is determine the matrices oparation.

Q: Question Determine a definite integral that represents the area of the region enclosed by r = Enter…

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Q: . The average rate of change of f(x)=x² +3x+4 over the interval 0≤x≤a is: (A) 3a (B) a² +3 (C) a +3…

A: To find the average rate of change of given function.

Q: k The graph of f(x) = k is shown above. Assume that k = 4.8 6.6 1) Evaluate. f(x) dx = [mk 2.8 b 2)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use Cramer's rule to solve the following system of equations: -x + 3y + 7z = -1 4x + 8y + 4z = 4…

A: Given:

Q: f(x)= 9x 2 3x² -5x+1

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Q: Find an equation of the plane that passes through the points (0, 3, 4), (6, 3,9). U), and

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Q: Solve the differential equation. dy COS X + y sin x = sin x cos x dx A y = cos x In | sec x | + C…

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Q: Əw Find when r = 3 and s= - 3 if w = (x+y+z)²₁ x=r-s, y = cos (r + s), z = sin (r + s). ər Əw ər |r=…

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Q: Question The position of an object moving along a straight I after t seconds is modeled by the…

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Q: -10 69°F 5 10 5 O -5 -10 Evaluate lim f(x), lim f(x), and lim f(x). X→ -6 x → - 2 X→ 4 5 10

A: We are going to solve

Q: Solve the given differential equation. (The form of y p is given.) y" + 7y' +10y = 40 (Let y p = A.)…

A: Giveny'' +7y' +10y=40

Q: The graphs of f and f' are shown over the domain [-8, 1]. my Graph of f Graph of f' Part A:…

A: Given data:- The given graphs f and f' are shown the domain (-8,1)

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Experiments show that a colony of bacteria with sufficient food and no predators and with zero death…

A: We need to find time when population triples.

Q: Find the parametric equation for the line where the planes 6x + 7y4z = 2 and 8y – 2z = 10 intersect.…

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Q: 10. Find the total derivatives of the following function a) Find dz dy z = 4x² - 3xy + 2y², where x…

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Q: 43. [_xsin x dx

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Q: Solve the following differential equation dy (a) = 2+ y; dx dy (b) + sin(x)y= 2 sin(x). dx

A: Given problems:- (a) dydx=2+y (b) dydx+sinxy=2sinx

Q: Approximate the zero(s) of the function. Use Newton's Method and continue the process until two…

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Q: A person deposits $25,000 in a bank that pays 5% per year interest, compounded continuously. The…

A: The given data is: Principal amount (P)=$25,000 Rate of interest (r)=5%=0.05Withdrawal amount=$750…

Q: Verify that the following functions are solutions of the corresponding differential equations. 1. y…

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Q: Solve for x. Express your answer as an integer or simplified fraction. 5x-7 7x+3 5 2 О А. OB. O. C.…

A: To find the value of x.

Q: Use the Generalized Power Rule to find the derivative of the function. 18 x=(√²²-1)² y

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