O 8 C 48 Use differentials to estimate the change in when x=5 and dx = -1/6. Use this f(x)=√√3x+1 to estimate √15.5.

Q: Consider the graph of a rational function f that is shown below. -5 4 -3 -2 Preview Preview Preview…

A: Part a. Observe from the graph that the function f approaches -∞ as x approaches the point -2 from…

Q: (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x

A: As per the instruction, we will be answering the first question by specifying it. For (4), Given:…

Q: For each of the following rational functions, determine the horizontal asymptote for the rational…

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Q: If f (x) = 6x sqrt x+ 7/x^2 sqrtx, find f' (x). Please answer ASAP and write neatly please.

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Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A: To solve the given logarithmic equation.

Q: Let f(x)= In (x^4) f'(x)=

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Q: If x = f(0) cos(e) and y=f(8) sin(8) then the dy derivative with polar coordinates, where dx f(0) =…

A: Topic = Derivative

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

A: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

Q: Please

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: Solve the DE. (1 + y²) dx + (1+x²) dy = 0 O tan x + tan y = C e + ey = C O lnx + lny = In C arctan x…

A: Topic = Differential equation

Q: m: b: (______) TAKE A TOUR y =____X +.

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Q: 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 -6 7+ 2 4 66 Over which interval of a values is f'(x) >…

A: we need to find out the interval of x values where f'(x)>0

Q: Consider the following. 7x8+y³ = 5x (a) Find y' by implicit differentiation. y' = (b) Solve the…

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Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…

Q: Find the distance between the points A(1,3,5) and B= (7, 12, 7).

A: find the distance between two point  this is the question of vector geometry  we have to find the…

Q: Evaluate the definite integral. 7 1 √₁² 36 + (x + 5)² dx

A: Here, we have given a definite integral and be have to find its value so we will find it by using…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Find equations of the following. 2(x-7)² + (y - 9)² + (z - 2)² = 10, (8, 11, 4) (a) the tangent…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√5-x² dy= -2x² + 5 5-r

A: Given function:- y=x5-x2

Q: 63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is…

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis. Use the trapezoidal rule with…

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Q: Find the solution to the boundary value problem: The solution is e¹ cos 2t + ܘܢܢ e sin 2t d'y dt² dy…

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Q: 5. Determine the point(s) at which f(x) = x³ + 2x² + 3x+5 has a horizontal tangent line. Then…

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Q: 1. Find the second derivative of f(x), then find the x-values at which f(x) is concave up and the…

A: concavity of the fx=3x3+12x2+5x+7

Q: Find the equation of the tangent line to the curve y = 10x -x^2 at the point x =1

A: To find the equation of the tangent.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Use sigma notation to write the Maclaurin series for the COS TTX.

A: Maclaurin series of f(x) about is given by, f(x)=f(0)+(x-0)f'(0)/2!+(x-0)²f"(0)/3!+...

Q: A bank features a savings account that has an annual percentage rate of r 3.3% with interest =…

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Q: . A 24ft. ladder is leaning against a house while the base is pulled away at a constant rate of…

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Q: Consider the function f(x) = 6√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem.

Q: Given: (x³ – 3x − 2) ÷ (x² + 2x + 1) = x − 2 Therefore: (x - 2) (x² + 2x + 1) = x³ - 3x - 2 True O…

A: Let P(x),Q(x),R(x) be polynomials such that, P(x)/Q(x)= R(x) Then doing cross multiplication we get,…

Q: 3.0 Given 2x + 6 3x -6 Find the inverse function f-1, the domain of f-1, and the range of f-¹. f(x)=…

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the…

A: Note: - According to the company policy we can attempt only three subparts a question so please…

Q: You are stationary on the ground and are watching a bird fly by horizontally at a rate of 10 m/sec.…

A: Here we have to use the concept of derivatives

Q: What is the slope of the line that passes through (1,-1) with y-intercept -2 2 -2 P

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola ?=1−x^2.…

A: The given parabola: y=1-x2

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Part I. Find the derivative of the given functions. Show your solution and express your final answer…

A: To find the derivative.

Q: Let F(t) = (4t¹ +4, t² − 4t³, 2tª). Find the line (L) tangent to r(t) at the point (68, 36, 32) L:…

A: Given vector:- r→t=4t4+4,t2-4t3,2t4

Q: Let f(x) = If we use the method of logarithmic differentiation to find f'(x), we obtain f'(z) in the…

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Q: 7 Newton's laws of cooling proposes that the rate of change of temperature is proportional to the…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be  a side of the package square base and y be the length of the package.

Q: The length of one square is 70% larger than the length of another square. The perimeter of the…

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Q: Find the derivative of the function g(x)=(x^2+4x+5)e^x g'(x)= Please answer ASAP and write neatly…

A: To find the derivative.

Q: Starting at point (1,0), you move along a distance t along a unit circle until you reach a terminal…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  so we can write it…

Q: Dave borrowed $5700 from his uncle with simple interest of 13% and eventually repaid $8664…

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Q: sing technology. from smallest to largest x. If an answ lest to largest x. If an answer does no

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate . If not,…

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Q: Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel…

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