Evaluate the integral 4 * √i(4+t) dt

Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

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A: We will find the required.

Q: Sketch the situation if necessary and use related rates to solve. A 6 ft tall person walks away from…

A: We have to find part 1, 2 and 3.

Q: Question Use the trapezoidal rule to calculate the absolute error of ₂(x² + 7) dx using 4…

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Q: Write the expression as the logarithm of a single quantity. 5) ——— In(x³ + 3x) - 2 In(5)

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Q: Evaluate the following expression without using a calculator. log 99

A: The given expressions, i) log99ii) log749 We have to find the value of the expression without using…

Q: Find the angle of inclination θ of the tangent plane to the surface 2x2-3y2+z=0 at the point…

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: 11. Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: Given, log(S)=log(C)+klog(A)

Q: How do I find the absolute extrema of g(x)=(3x2)/(x-6) in close interval of [-3,2]

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Q: Evaluate the derivatives. Do not simplify. (a) ey - y² = ln x tanz (b) y = (secx)*

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Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g>0.We need to check the differentiability at g=0.

Q: y(2x² − xy + 1)dx + (x − y)dy = 0 - - (x² + y² + 1)dx + x(x − 2y)dy = 0 - y²dx + (3xy + y² − 1)dy =…

A: As per bartleby guidelines we only give first three question answer. Please repost for other parts.

Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: Consider the function f(x) = x² - 6x +8 x-1 a. Find the first derivative. f'(x) = b. List any…

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your…

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Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: limx, y→0, 0xy2x2+y4along path x=0=lim0, y→0, 00· y202+y4=lim0, y→0, 00=0along path x=y2=limy2,…

Q: Consider the function f(x) = x³ - x¹ + ?x³ + ¾x + 20 (a) Find where the function is concave up. + ¾.

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Q: 9. You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Let f be defined as follows. y = f(x) = x² - 7x (a) Find the average rate of change of y with…

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Q: Consider the integral 1,33 x² If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Find the exact value of sin sin (*) 4) = (4) 团团团 EESTIMENT

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Q: 1) The value of a product (in dollars) increases according to the function v(t) = 2.45e0.032t in the…

A: given that value of the v(t)=2.45e0.032t

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for (a) lim X (b) lim X + +³7 - 32x…

A: Use limit concept

Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: ASK YOUR TEACHER A rectangular package to be sent by a postal service can have a maximum combined…

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Q: Find the derivative and simplify where possible for the following: a) f(x) = tanh (1 + e2x)  b)…

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Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Find the value of the logarithm. (1) In

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Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: only

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Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: Solve the queation 36x cubed + 45x squared - 7x - 4 = 0 given that -4/3 is a zero of f(x)=36x cubed…

A: Please see the below picture for detailed solution.

Q: Let f(x)=√100-2². Use a linear approximation to f at (6,0) to approximate f(6.1). Your answer must…

A: Given function f(x)=100−x2

Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: Question Determine the absolute error when using the rhidpoint rule to find ³ (8x² + 5) dx using 3…

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Q: Find the critical points of the function f(x,y) = x² + y² − 4xy + 2.

A: Given, f(x,y)=x4+y4-4xy+2

Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To find indefinite integral.

Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: 2 Given that f(x) = x² x² (a) (f + g)(x)= (b) (f - g)(x)= (c) (fg)(x)= (d) (4) (2)-[ (x)= - - 10x…

A: We can answer the composite functions in the below steps.

Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

A: Concept: The line x=L is a vertical asymptote of the function y=14x-42x2+x-12, if the limit of the…

Q: X Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: 0 -3 -2 -1 0 1 2 3 f'(0) 0.9 0.3 1.6 0.9 -1.3 0.7 1.9

A: A function is said to be increasing around a point where its derivative is positive and it is said…

Q: Suppose that the following equation defines y as a differentiable function of x: y = arctan(x²y).…

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

Q: Consider the function f(x) = x² x² + 4 You may use the facts that f'(x)= needed. = Answer the…

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