Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: Find the given limit. 2 lim √√x² - 1 X→1+

A: Limx-1-1).

Q: (d) h(-3) (e) lim_h(x) x → 0~ (f) lim h(x)

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Q: -8-6-4-2 -2- 2 4 6 X C

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

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Q: Use an exponential model and a graphing calculator to estimate the answer to the following problem.…

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Q: Let J(x) Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: an icosceles triangle has its base along the x-axis with one base vertex at the orgin and its vertex…

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Q: evaluate the following integrals please

A: We have to evaluate the given integral.where C is integral constant.

Q: (d) lim f(x) x-6 (e) lim f(x) x→6+ (f) the equations of the vertical asymptotes (Enter your answers…

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Q: Identify any points of discontinuity for the following functions. Indicate if the discontinuity is…

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Q: Sketch an example of a function of that satisfies all the following limits and function evaluations,…

A: given conditions to sketch function

Q: A two pound weight is hanging in a system that has acheived equillibrium (not moving. Find 7₁ and…

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Q: Find the length of the following curve. 3 2 y = 3x² from x = 0 to x = 8 The length of the curve is…

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Q: For the function g whose graph is given, state the following. 10 a. lim_g(x) = x→∞ c._lim_g(x) =…

A: As we can see from the graph, So we can write,

Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: The unit cost, in dollars, to produce tubs of ice cream is $8 and the fixed cost is $8004. The…

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Q: Complete the table to find the derivative of the function without using the Quotient Rule. Function…

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Q: f(x) = 45.183(0.831x) + 60 thousand farms where x is the number of years since 2000, based on data…

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Q: d) f(-12) = e) lim f(x) = 118 f) lim f(x)= +8-个H g) lim f(x) = x4-8 h) f(-8) = i) lim f(x) 8118 = =…

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Q: Evette creates a coordinate grid and plots 4 points on the grid. a) Which point is at 3,2? b) Write…

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Q: The graph of f is given below. Use the graph of f to determine the given limits and function value.…

A: Solution is following in step 2.

Q: find dy/dx, when y=13(20-x4)5

A: To find , when .

Q: 3. vx-1 1 lim x+1 x- 1

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: since you have posted multiple questions in this question which are vey lengthy so i have solved…

Q: A concert loudspeaker suspended high off the ground emits 30.0 W of sound power. A small microphone…

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Q: Give a possible formula for the function shown in the figure below. Y 20+ 14 28 (35,9) 42 t

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Q: Help please

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Q: d) f(x) (-5,8) = = x² - 1 3x - 40 Domain:

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Q: Use the Theorem on Limits of Rational Functions to find the limit. If necessary, state that the…

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Q: 1) Find the Laplace transform of the following functions 1. e¹¹t+5

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Find a. x and y-intercepts. b. symmetries (if any) about the x-axis, the y-axis, and the origin. AX…

A: We have to find the x and y- intercepts and symmetries of x,y- axis and origin.From the given graph…

Q: H.W. Salve the diff. eque (4y-cosy) dy/dx=3x² = 0, y (0) = 6₂

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Q: MY NOTES The given function is analytic at x = 0. Find the first four non-zero terms of a power…

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Q: The average amount of time that a customer waits in line for service is given by the function shown…

A: The Average amount of time that a customer waits in line for service is given by the function where…

Q: The unit cost, in dollars, to produce bins of cat food is $8 and the fixed cost is $23798. The…

A: Since you have posted questions with multiple sub-parts, we will solve the first three for you. To…

Q: Let y = log3(7t +27) - 4. (a) Find the vertical intercept. Express your answer as a point. (b) Find…

A: The given equation of function

Q: b) Question 23 from the textbook: Use the given graph of f(x)=√x to find a number 8 such that if…

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Q: 0 The initial substitution of x = a yields the form exist. 3 X-729 x-9 lim X-9 Select the correct…

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Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

A: The equation of line passing through two points  is given by .The equilibrium point is where the…

Q: a) Describe the following formula in words: c=5+2x where c is the cost of a taxi ride in dollars and…

A: As per the guidelines I am answering one question at a time.Given formulac=5+2xWhere c is the cost…

Q: Let f(x) -5 -4 - The graph of f is given below. Use the graph of f to determine the given limits and…

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Q: Determine lim f(x) given the definition of f(x) below. x→-3 f(x) = 2x² x² + x - x + 2 x² +3x+1 if if…

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Q: Population Growth The graph of P(t) below shows the population (in thousands of people) of a city t…

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Q: (b) C'(x) = 0.03e0.01; Fixed cost is $8.

A: To find the cost function for the following marginal cost function.; Fixed cost is $8.

Q: for B- 6- NO -10 8 6 4 26 (13) (8.6) X $10

A: A relative maximum point is a point where the function changes direction from increasing to…

Q: Write the differential equation of the following satisfying the given conditions. 1. Family of…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly re…