Find dy/dx. dy dx x=√t y = 4-t

Q: Let f(x) = 5x6 if x ≤7 -8x+b if x>7 If f(x) is a function which is continuous everywhere, then we…

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Q: The mass of the part of a metal rod that lies between its left end and a point x meters to the right…

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Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number s.  S=…

A: We have to find the point x,y on the unit circle associated with S=-π3

Q: Consider the following function. f(x) = 2x³ + 3x² - 36x (a) Find the critical numbers of f. (Enter…

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Q: Write the following statements as an equation  Sam knows that 1 of his fertilizer tanks holds 4…

A: we need to find the number of gallons in both tanks.

Q: Use the first and second derivatives to sketch the graph of the function (4-x2)5. Make sure the…

A: Given fuction is f(x)=(4-x2)5

Q: c. f(x) = 2* ln(x³ - 8)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1). Type here to search

A: Find the f'(1) if  f(x)+x2[f(x)]3=10 and f(1)= 2

Q: what is the volume of the solid generated by revolving the region bounded by x=6y-y^2 and x=0 about…

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Q: 3 cot2 0-4 csc 0 = 1

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Q: Find the area of the region that lies inside the curve whose polar equation is r = 3 sin θ and…

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Q: Use implicit differentiation to find y² + 9x³ = 7y - 5x² dy da = Submit Question dy dz Jump to…

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Q: Use f(x) = 5x - 4 and g(x) = 3x² to evaluate the expression. (a) (fof)(x) (b) (g o g)(x) Need Help?…

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Q: 1 In the equation y = -x + 2, if x = 6, y = ?

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Q: Use Descartes's Rule of Signs to determine the possible numbers of positive and negative real zeros…

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Q: Find the derivative at the specified point. Hint: first find an expression for f'(x) and then…

A: Given that f(x)=ex -(i)Our Aim is to find an expression for f'(x) and then substitute x=10 intothat…

Q: Let an be the number of {A, B}-strings of length n with the property that every A is followed by an…

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Q: The product of two positive numbers is 16. If the sum of one and the square of the other is minimum.…

A: Topic:- application of derivatives

Q: Simplify completely. Assume all variables represent positive values. (25/7) 2/3 a) Write the…

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Q: Find the derivative of y=3√x- 4 3

A: Topic: Differentiation

Q: The solution of DE y' - 2y = y² O a. In y + In (y+2) = x-C O b. y(y+2) Ce O c. y/(y+2) = Ce d. In y…

A: To solve: y' -2y = y2 ⇒dydx  = y2+2y⇒dyy2+2y  = dx

Q: Calculate each of the following approximations for ſo 5(1 – e-²x) dx. LEFT(2) = RIGHT(2) = TRAP(2) =…

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Q: 1 using simpson rule with n estimatel = 4 steps to

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Q: dy 1. Find Do not simplify. de (a) cos (x + √y) + tanh-¹ (sin² x) = ln 3+ y sech (¹). 1 22 (b) y =…

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: Use the divergent test to analyze the given series. Each answer should either be the serie diverges…

A: NOTE: Refresh your page if you can't see any equations. . use the series integral test: if an is…

Q: The volume of a cylinder is changing with respect to its radius. Which of the following equations is…

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Q: Given the quadratic function in blue and the line tangent to the curve at A in red, move point A and…

A: Detailed solution is given below

Q: 6x + 9 each answer as a comma-separated list of values. The order of the values does not matter.…

A: we will find the required.

Q: There are 1,000,000 bacteria that being cultures in a laboratory. The bacteria has a continuous…

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)t2,…

A: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=…

Q: Lim 6 (os (cos) 0-0 Sec O

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Q: A single vent in a volcanic crater's floor shot lava 1000 ft straight into the air. What was the…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is…

Q: Let f(x) = 1 x +3

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 9."…

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Q: Evaluate((5x² + 7)e-x) at x = 0. × Submit Answer

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Q: dy Find when e + 7y² = 2³. da 0 dy dz O dy da 3x² 2 (ev+14y) Ody da 3.x² ev + 14y Oe+14y=3x² 32² -…

A: We can find the derivative and hence the correct option in the below steps.

Q: The dimension of a box are a, a – 1, a + 4 inches, Find how fast the total surface area S increases…

A: The total surface area of a box with length l,width w and height h is given by S=2(lw+wh+hl).

Q: For the part of the solution to the DE shown below, y ln x ln y dx + dy = 0 [y ln x lny dx + dy =…

A: The given part of the DE is ∫ln x dx+∫dyy lny=0 We have to find the next step of the DE

Q: Explain why or why not Determine whether the following statements are true and give an explanation…

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Q: According to the Transport Accident Commission, 90% of Victorian drivers are over 25 years old and…

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Q: Write the equation. Equation of degree 5. Roots at x = 3 and x= 1 both of multiplicity of 2 and  x =…

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Q: Consider the given function and the given interval. f(x) = (x-4)², [2, 5] (a) Find the average value…

A: a)    favg=1 b)   c=3  (smaller value)       c=5  (larger value)

Q: Determine the domain of the function algebraically (use algebraic methods, not a graph). Give your…

A: The function is given by fx = 29-4x+1 To evaluate: The domain of the function algebraically.

Q: Please show your complete solution and write readable thanks. 1.) Determine the nth term of the…

A: nth term of a geometric sequence with first term a and common ratio r is given by, an=ar(n-1) Sum…

Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

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Q: 17. h(v) = V + Oldsi

A: Given query is to find the derivative of the expression.

Q: Differentiate 5* sec (e*).

A: Given query isto find the derivative of the function.

Q: 1. Given a function f, (a) show (by a suitable computation, not by viewing the graph) that f is…

A: One-to-One function:- A function is said to be one-to-one if it is one-one and onto.One-one function…

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: we will find the required.