| d²y 1. dx² Order: Degree: + dy dx - 3y = 0 Dependent Var: Independent Var: Linear: ?

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Q: lim 1 00 3+ 10 x2

A: Limx-infinity (3+10/x2)Find the limit.

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A: Given function of x.We have to find the limit as x tends to infinite.

Q: Select the true statement. options:   1)  2 is composite   2)  -2 is composite   3)  -5 is prime…

A: In option( 1)_2 is not a composite number because it has only two factors 1 and itself.so,it is…

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 2x + 4 f(x+h)-f(x) h (Simplify your…

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A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: Q-1: a) Using the definition of the derivative find dx of f(x) =

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Q: 4- x - x² if x ≤ 2 2x - 9 if x>2 Determine the following limits. Enter DNE if the limit does not…

A: The given function is .The aim is to find the value of the limit.,, and.The limit of a function at…

Q: Determine the area of the surface of z = x² + y² that lies below the plane z = 4.

A: We have to determine the area of the surface.

Q: 4-01 the (without using L'Hopital Rule).

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Q: he rate of change of the number of raccoons N(t) in a population is directly proportional to 380 −…

A: Given that the rate of change of the number of raccoons N(t) in a population is directly…

Q: A tree of height y meters has approximately B branches, where B = y - 3. Each branch has…

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Q: Find two values of the paremeter k for which y(x) = ekx is a solution of the differential equation…

A: To find the two values of the parameter  for which is a solution of the following differential…

Q: For the function g whose graph is shown, find a number a that satisfies the given description. a=…

A: the limit of a function y=f(x) at a point x=a exists when the value of y approaches the same value…

Q: If x² y/s = 2rp³/(wu), which of the following are inversely proportional to u? Question 5 Answer r,…

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

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Q: Find the explicit elementary formula for A(x)

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Q: Find the solution to the initial-value problem dy dx y = = 3y³x²e³, y(0) = 2 help (formulas)

A: The differential equation is given as ,find the solution.

Q: fn shift For the function f and interval [a, b], use definite integrals and the Fundamental Theorem…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. 2=x4 6xy…

A: z= x4-6xy + 2y3We have to find partial derivativei.e. differentiate z with respect to one variable…

Q: Find the length of the following curve. 3 N| W 2 y = 2x from x = 0 to x = 2 The length of the curve…

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Q: Find and simplify the difference quotient f(x) = -5x f(x+h)-f(x) h f(x+h)-f(x) h = (Simplify your…

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Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. 4|x,…

A: The graph is shown below:

Q: Ronny owns a rice field in Baguio. He hired tractors to plough his field. He hired 8 tractors who…

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Q: Solve the equation. Give exact answers. Do not use your calculator. e2x - 5ex + 4 = 0 X = X =…

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Q: right (or the bottom). | 100 7634 24 7 -2- (z) is displayed on the left (or the top). The graph of y…

A: To find

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 8x +4, and the price-demand…

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Q: Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: To find the product of  and its conjugate.Note: Since the student has posted two questions and has…

Q: Find the domain of f(x) = √1x + 7 Use two lower case o's for infinity. "oo" is how you type in…

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Q: 4. A boat leaves a dock at 2:00 pm and travels south at a speed of 20 km/h. Another boat has been…

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Q: For the functions f(x) = notation. (fog)(x) = Domain off og : 3 x+4 and g(x) = 11 x+2 find the…

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Q: Starting with an initial value of P(0) = 75, the population of a prairie dog t community grows at a…

A: The population of a prairie dog community grows at a rate of

Q: Solve the separable differential equation for u, u(t) du dt 1 = Use the following initial condition:…

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Q: Determine the end behavior by analyzing limits, providing graph showing asymptote

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Q: The equation defines y as an implicit function of x. Use implicit differentiation (without solving…

A: 9x2−y2=6

Q: 3. (Parametrizations) Find parametric equations for the following curves. (a) line segment from…

A: Circle has radius of 2 units.Circle centered at the origin.Initial point (0, 2)Terminal point (-2,…

Q: Let f(x)=x² - 2x + 6, g(x)= and h(x) = √26-x. Find f(0), g(0), h(0), f(a), and f(-x). √x

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 6 +…

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Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: Suppose h = fog. Find h'(0) given that f(0) = 8, f'(2) = -7, g(0) = 2, and g'(0) = 3. h'(0) =

A: Given that, ,  and .The aim is to find the value of .

Q: Check Your Understanding 2. Let f(x) = x, and let a be any real number. Sketch the Limit Law 8…

A: As per our guidelines,  we are supposed to solve only one question.  If you want more to be solved…

Q: S (3x² − 2x + 1) dx

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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: The graph of an equation is given. a. Find x and y-intercepts. b. Find symmetries (if any), about…

A: Given graph of ellipse