1. f(3x + 2)¹4 dx 2. S 4t³ (t¹ + 4)³ dt 3. √ √2x - 1dx

Q: ƒ (x) = 3x² + 3, x = 7|

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Q: function of x and y sin (x²z + y²) + 2x³ = y2²+2= If 2 is a differentiable satisfying the equation…

A: sinx2z+πy2+2x3=yz2+2 We have to find ∂z∂x at (1, 3, 0)

Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: let   p=amount of bacteria present   thendpdt=growth rate

Q: Find the LT of each of the following and use inverse LT to bring back the original function. a. y=ex…

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Q: total cost (in dollars) of producing xx golf clubs per day is given by the formula…

A: Given query is to find marginal cost function and marginal cost at level of 55.

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

A: Given :cosx cosy - cotxdx-sinx siny dy=0

Q: Assignment: Find a possible function f(x) which gives the following graph: -14 -12 -10 -8 6 8 10…

A: If the graph of the function f(x) intersects x axis at x=a, then (x-a)m is a factor of f(x) and will…

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→C+ X-C¯ |x + 111 f(x) = (x +…

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Q: 12 лухари у-х2-2х-я сил не 2x-9 and the tangent to the wave curve at the point whose X- coordinate…

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Q: (cos x-cosy-cotx) dx-sinx.

A: Topic:- differential equations

Q: Solutions

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Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: It is known that f g (x) dx = e³, f₁ g(x) dx = 4, and g(x) dx = 12. Find g(x) dx. O e5 - 8 e6+16 es…

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Q: Evaluate the definite integral. Give the EXACT ANSWER. (no decimal approximations) 4 (2x²-4) dx =

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Q: 5. Find the exact value of each x = [0, 2π) for which sin (2x) = √3 cos (x). Leave answer in exact…

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Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.)…

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Q: Evaluate fi f(x) dx if f(x) = 06 O 12 O 14 08 (2x x-1 if x ≤ 3 if x > 3

A: We need to choose correct option.

Q: A large rectangular fish tank has width 4 ft and length of 8ft, the sides are 2 ft high, and tank is…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. y = √36x², -5…

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Q: Consider the following complex numbers (b) (cle. Complete the following table Complex number 21 22…

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Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: Solve for the particular solution: 4e-32-2 y = e-6x +3e-3x+2 ; y(0) = 1

A: Given differential equation  y'=4e-3x-2e-6x+3e-3x+2  ; y(0)=1 Rewrite the differential equation as…

Q: D Question 5 Find dy/dx, given the following: y = | L y P (x²+2x)² 3 (3x²+2) (2³+2x)² + = V (2x-4) 2…

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Q: For what value of a is the following function continuous at every x? a²x-6a, x≥2 x<2 f(x)= 20,…

A: Given fx=a2x-6a20x≥2x&lt;2

Q: b. 14-x²|dx

A: I am attaching image so that you understand each and every step.

Q: 19) Find the average rate of change of the function from x₁ to ₂. f(x)=x²-8 x₁ = -3 to x₂ = 5.

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Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: If you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

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Q: The table lists the number of phones sold in millions in the first 5 years on the market. Find a…

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Q: 9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The…

A: Volume of the cylinder , V =πr2h ; where , 'h' is the height and 'r' is the radius of the circle.…

Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: X Find the area of the surface generated by revolving the curve y = 18 The area of the surface is…

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Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

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Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: The weekly demand for Xbox Math-Hero video games is given by p= x³ 180x + 1250 where x is the number…

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Q: 1. Given the algebraic function x² - xy + y² = 3 a. Find dy/dx v= O Option 4 y Option 2 y - 2x 2y +…

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Q: 2. Evaluate the following limit (tabulate). 4- x² lim x→² 3 − √√√x² + 5 O It does not exist O -1 O…

A: Solve the limit

Q: Given the demand equation p+ = 48, where p represents the price in dollars and x the number of…

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Q: Use linear approximation to approximate ✓49.1 as follows. Let f(x)=√x. The equation of the tangent…

A: Tangent line equation of fx=x at x=49

Q: etermining the Maximum and Minimum Values of Quadratic Functions rocket is launched in the air. Its…

A: Given query is to find the maximum height attained by the rock.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: #1 Cπ/2 ST 0 (8 + 4 cos x) dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: S + (2 + ² + 2)²³² de 호 t

A: Given, ∫t2t2+2-12dt

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

Q: A tank with a capacity of 300 L is full of a mixture of water and chlorine with a con- centration of…

A: We need to find amount of chlorine.

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: Calculus Find the volume of the solid generated by revolving the region bounded bythe graphs of y=x,…

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Q: Evaluate the indefinite integral S -10x² X dx

A: