Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square units 56/3 square units O 24 square units O 21/2 square units

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: Consider the following function. f(x) = ;x = 1 (a) Use any method to estimate the slope of the tange...

A: Explained below 

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

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Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: 10t2 Suppose the height of an object is given by h(t) = experiment begins. 8t + 3 meters, t seconds ...

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Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square unit...

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Q: 26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, ...

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Q: on 9 e slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the c...

A: Please refer to the image below

Q: Consider the line perpendicular to the surface z=x^2+y^2 at the point where x=3 and y=2. Find a vect...

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Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: S- 10 -dx may be written as Aln secB* + tanB" +C. where A, B, and C are constants not equal to zero....

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Q: nd the equation of the curve for which nd (2,3).

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Q: Question 1 sinx sinx +x The integral COsx - e +e dr may be written as mensinx prt gerxLC. where m, n...

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: sin-cos-sino de has the form 2 -F(e) +C. What should be the value of e to make F(e): The resulting i...

A: We will find the value of theta. 

Q: Find the local maxima, local minima, and saddle points of z = f (x, y) = x2 + y* + 2xy Identify a,y,...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the c...

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Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

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Q: Which of the following are exponential functions? Select all that apply.

A: Given,           To check the exponential functions.We know that,           An exponential function ...

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

A: Solved below

Q: The equation gives the position s = f(t) of a body moving on a coordinate line (s in %3D meters, t i...

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Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: A ball is dropped from a height of 64 feet. Its height above the ground (in feet) t seconds later is...

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Q: point

A: We will find the curve equation 

Q: If F(x) is an antiderivative of -2+x-1, then what is the value of F (1) – F (-1)? -2 O O O

A: Please see the below picture for detailed solution. 

Q: dA Evaluate the integral where Ris the region: {(x,y)|0 <x < 1,-3 <y< 3} R

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Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: sin x 16 y = e* + cos x solves y' = cOs x + y

A: we have to verify the solution.

Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: Question 17 b --x" + -xP +C. a d The general antiderivative of (3x2–4) 2x² can be written as m p Wha...

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Given cost and price (demand) functions C(q) = 100q + 40,000 and p(g) = - 2q + 870, what is the maxi...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

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Q: Which of the following is an improper integral? A) In(1+x*)dx -dx -4 x² – x – 2 В dx C 2x + 8 C In(3...

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Q: dx Evaluate 3x-12 A 0. B 8.

A: Solution is here

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical a...

Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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Q: 25 is what percent of 44? (truncate the percent at tenths)

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