Evaluate the following integrals: dx 1. Vzax-x2

Q: Which of the following represents the derivative of f(x) = 4x3 4 1? x2 Select one: 2 f'(x) = 12x² + ...

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

Q: 35. (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent ...

A: Our Aim is to solve Question-35, in which we have been given the curvey=11+x2 -(i) also called as a ...

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + y +4...

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Q: Write the first five terms of the sequence: +oo {Vn2 + 4n – n}n=1 Determine whether the sequence con...

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Q: Sketch a graph of a function having the given properties. f(2) = 2, f′(2) = 0, f′(x) > 0 on (−∞,2),...

A: the function has the properties,f(2)=2f'(2)=0f'(x)>0 on -∞,2f'(x)>0 on 2,∞f''(x)<0 on -∞,2f...

Q: k=1 1) Your answer is incorrect. Try again. This series can be rewritten in which way? 43 7 k=1 k-1 ...

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Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1. N...

Q: (a) A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to t...

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Q: AnSwer O Solution 42. Show that the unit vector ð = zi + vj is not parallel to i = yi – aj for any c...

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Q: To evaluate the / sin-(x) + sin(x) cos2(x) -dx using basic formula of integration (without using sub...

A: We need to find values of f(x).

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. Show all work! 2x 1 lim X...

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Q: Find the transition points. f(x) = x(3 – x)/3 (Use symbolic notation and fractions where needed. Giv...

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Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Explained below 

Q: Find a linearization that will replace the function over an interval that includes the given point x...

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Q: Find the derivatives of R(v)=(14r-3)

A: We will handle the power of function and than function itself. Given R(v)=(14v2-3v)-2          

Q: 63. Use the determinant to determine whether A= [; ] 1 2 is invertible. If it is invertible, compute...

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Q: Suppose h(x) = f(g(x)). Given the table of values below, determine h' (-1). f(x) g(x) f'(x) g'(x) -1...

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Q: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, a...

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Q: Determine the point(s) at which the given function f(x) is continuous. 8 f(x) = x-4 - 7x Describe th...

A: The objective is to determine the set of x values where the function is continuous. 

Q: Find K, B and r for H.W Find K, B and T for 1. r(t) = (3 sin t)i + (3 cos t)j + 4tk %3D 2. r(t) = (c...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Answer the following questions given the function f below. ху if (x,y) # (0,0) f(x,y) = X +y if (x,y...

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Q: A student drew the graph of y = f(x), y = f'(x), y = g(x), and y = h(x). Unfortunately, they forgot ...

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Q: Evaluate: dx, xV16x2-5 141 arcsec V5 |16| 1 arcsec V5 V5 V5 Option 3 none of the choices 14| 1 arcse...

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Q: 9. 7) cosho do cash? e-1

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Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: cot dv 3. cot (v²+9) 1-cos² - Iem

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Q: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the x-...

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Q: csch (2 sin 2x)dx 1. V1-4x

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Q: a) Verify that the function = x + is a solution of the differential equation xy' + 2y = 4x², (x > 0)...

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Q: Determine whether the following equation defines y as a function of x. x +y = 121 Does the equation ...

A: The objective is to determine whether the given equation defines y as a function of x.

Q: 5. Which of the following functions is NOT continuous everywhere? A. f(x)= mx + c, where m, c eR x² ...

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Q: (a) Write out the first four terms of the sequence {1+ (-1)" }, starting with n = 0. %3D (b) Write o...

A: a). Given sequence is {1+(-1)n} Write the first four terms of the sequence. Starting with n=0 b). Gi...

Q: 0.08e* Determine p' (x) when p(x) = Select the correct answer below: 0.08e* %3D (x),d O (12)(x^)-( 1...

A: topic - derivative of a function

Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k k=0

A: The given series is  ∑k=0∞ (x-3)k2k

Q: find f'(t) and f"(t).

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Q: 2t+9 dt (t2–14t+46) 2t + 9 2t + 9 dt (t – 7)2 – 3° J[(t – 7)2 – 3]² Option 2 Option 1 2t + 9 dt [(t ...

A: Here, to rewrite the given integral: ∫2t+9(t2-14t+46)52dt...(1)

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of...

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Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum sur...

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Q: The below curve is rotated about the y-axis. Find the area of the resulting surface. x7 y = 1s* 10, ...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: someone help me out, may you also write the work and answer legibly or type it out if possible pleas...

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Q: Find the average rate of change of the function f(x) = 7x from x, =0 to x = 3. %3D The average rate ...

A: Use the slope formula to find the average rate of change -  m = y2-y1x2-x1, where x1,y1 and x2,y2 ar...

Q: 7 Let f(x) = 7 The slope of the tangent line to the graph of f(x) at the point - 3, is The equation ...

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable....

A: topic - functions and derivatives

Q: 2. -4 let u= dx=

A: Indefinite Integration using substitution

Q: ydx-4xdy=y^6dy when y(4)=1 solve using linear equation

A: This question is based on solution of linear differential equation.

Q: find the general solution I need answer within 20 minutes please please with my best wishes

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Q: cot e dv cot ( +9)1-cos? e Irm

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Q: *00 エ くO LL R の (X)f where f(x) = x +1 and g(x) = x² + 3x – 2. What is h' (x)? = (x)y ə7 (x)8 Select...

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