Calculus Question

Q: a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and ...

A: fx=xlnx Differentiating with respect to x, we get f/x=dxdxlnx+dlnxdxx    Because, duvdx=dudxv+dvdxu=...

Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential...

A: Given information: Initial amount of bacteria is 1500 Bacteria doubles in size every 4 hours Use the...

Q: Evaluate the limit. Enter the exact value of the answer. 2y + 81 6. 9 lim

A: Given limy→02y+81-9y

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Given Data: x=3lnt ......1y=4t1/2  ......2z=t3      ......3 x0, y0, z0=0, 4, 1   For the specified p...

Q: Find the domain of the function : g(x) =2/(x2 + x - 12)

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Q: Other Equations Find all real solutions of the equation. 99. 2x + Vx + I = 8 101. V3x + 1 = 2 + Vx +...

A: Hey, since there are multiple question are posted, we will answer first question.

Q: If a bank offers annual interest of 7.5% or continuous interest of 7.25%, which has a better annual ...

A: Given that a bank offers interest of 7.5% or continuous interest of 7.25% To determine which interes...

Q: Differentiate the inverse trig function  y=Sin-1(Cos x/1+Sin x)

A: We use the chain rule and the quotient rule to find the derivative. y=sin-1cosx1+sinxy'=11-cosx1+sin...

Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto,...

A: Equation given in the question is: s(t) = 4.9t2 s(7.1) is value of s when t = 7.1  s(7) is value of ...

Q: As television cable is pulled from a large spoolto be strung from the telephone poles along a street...

A: Given: The truck pulling the cable moves at a steady  6 ft/sec. We have to find the rate the spool i...

Q: Area A rectangle is inscribed in a semicircle of radius 10, as shown in the figure. Find a function ...

A: Given Data The radius of the semicircle is R=10. The width of the rectangle is h.   Consider the len...

Q: 81-82 - Graphical Addition Two functions, f and g, are given. Draw graphs of f. g, and f + g on the ...

A: We have given functions f and g We have to plot the graph of f,g and f+g 

Q: Determine whether the differential equation y′ − y sin x = xy2 is linear. Explain your reasoning.

A: The given differential equation y′ − y sin x = xy2 

Q: FIND THE ZEROS OF THE POLYNOMIAL FUNCTIONS AND STATE ITS MULTIPLICITY:   f(x) = x ( 3X – 5 ) ( X –...

A: Consider the given function fx=x3x-5x-32x+13    

Q: Find the unknown lengths for the similar triangles below. 10 m 6 т 12 m 14.4 m y x = m (If needed, r...

A: By the property of similar triangles, the length of their sides will be in proportion.

Q: Find the particular solution of the first-order linear differential equation    y′ + (2x − 1)y = 0 f...

A: the given differential equation is y'+(2x-1)y=0. y(1)=2  

Q: If a function is defined by an equation, explain how to find its domain?

A: Domain: Domain is the set of all possible input value for which the function is defined. If the give...

Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a horizont...

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Q: A 11-inch candle is lit and burns at a constant rate of 1.1 inches per hour. Let t represent the num...

A: Consider the given information: Initial length of the candle = 11 inches Decreasing at the rate = 1....

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = x6

A: Power rule: ddxxn=nxn-1

Q: Simplify the radical expression if possible 5√(64x6) . 5√2x

A: The given expression is 564x6·52x

Q: Attached is a photo of my work for the following problem: t*ln(t)*(dr/dt)+r=9tet I have worked on th...

A: Given differential equation tln(t)drdt+r=9tet

Q: Obtain the DE of the family of lines passing through (2,0). Select one: о 2ydar — (z — 1)dy o (x – 2...

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Q: dy dx x + y 31.

A: we have to integrate the given definite integral ∫12∫041x+ydydx  

Q: ,6t Convert Q = 5e" to the form Q = ab' . Round your answer for b to three decimal places. Q = ? Edi...

A: Q=5e6t It can be written as Q=5e6t=5e6t=5403.429t Comparing it with Q=abt, we get a=5, b=403.429

Q: Please help me solve and show all work. Thank you so much

A: Option B is the correct option. First consider the value for the given vector r(t). Then integrate t...

Q: Showing an Equation Is Solvable 35. Assume that 1 < a < b and a/ x + x = 1/x - b . Show that t...

A: Consider the following equation: ax+x=1x-b Multiply both sides of above equation by x; ax×x+x×x=1x×x...

Q: a9,10

A: We are  authorized to answer one question at a time, since you have not mentioned which question you...

Q: If y=1000 at t=3 and y=3000 at t=4, what was y0 at t=0?

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Q: Soon after taking an aspirin, a patient has absorbed 280 milligrams of the drug. After 3 hours, only...

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Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in ...

A: Vp=1p

Q: Give a simple example of what IVT means in real language.

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Q: Determine whether the statement "Because y = sin x has an inverse function if x is restricted to [- ...

A: given: y=sinx has an inverse function if x is restricted to -π2,π2 y=tanx has also restriction for x...

Q: What is a logarithmic equation?

A: The logarithm of the number N to the base 'a' is the exponent indicating the power to which the base...

Q: Solve the polynomial inequality 3x2 - 5x ≤ 0 and graph the solution set on a real number line. Expre...

A: Given that: The polynomial inequality 3x2 - 5x ≤0

Q: I want 3no ques answer.

A: To find: The volume of the solid that is generated by the revolving the given function y=x around th...

Q: Calculus Question

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

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Q: 11. You can buy 5 T-shirts at Baxter's for the same price that you can bu 4 T-shirts at Bixby's. If ...

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation.)

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Q: Give the domain and the range of the quadratic function whose graph is described as : Minimum = 18 a...

A: We have to find domain and range of the quadratic function whose graph has minimum 18 at x=-6  

Q: Use vertices and asymptotes to graph the hyperbola x2/9 - y2/25 = 1. Locate the foci and find the eq...

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Q: Hello, can you help me on this question? I am struggling to answer the question. I don't know how to...

A: Rx=1100x2-0.3x  &  Cx=2200x2+513+600 Now profit function is, Px=Rx-Cx⇒Px=1100x2-0.3x-2200x2+513+...

Q: Based on the graph, find the set of all x-values for which the points P(T, y) are on the graph and y...

A: The graph is as shown below :

Q: Please help me with these two questions

A: Consider the statements : f(0)=0f(5)=-2x>-3-5<y≤4

Q: radical equation +22 =c+ 2.

A: