Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4.

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A: Note:- As you write only set up the integral to find the volume by method of cylindrical shell and d...

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A: we will take logarithm on both side of the function and after solving the limit, take antilogarithm....

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2+4q−46P(q)=-0.03q2+4q-...

A: This question can be solved using the concept of maxima and minima.

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below 

Q: Which two numbers should come next in the sequence 18, 23, 28, 33, ..? Select the correct response: ...

A: Find your answer below 

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Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family o...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: xdx Evaluate Vx-16 Vx2+16) +. Vx2-16 + C A. In In +C C. In In ) x-16 x--16 в. In In + C D. In In + C...

A: Given

Q: 2x +1 ds x2 - 7x + 12 A. -7ln|x – 3| + 9ln|x – 4| + C B. 7ln|x + 3| + 9ln|x + 4| +C c. -7ln|x + 3| –...

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Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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

Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years.

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Q: dx Evaluate J x+5 A. Arcsin ( x +2) + C B. Arcsin (x +1) +C C. Arctan (x + 1) + C D. Arctan ( x + 2 ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-1, ...

A: Find your answer below 

Q: 6-2x Prove by definition that lim 4. 3

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Q: Determine the open disk of convergence and radius of convergence of 2n (z – 1+ 2i)" -n + 1 n3D0 8.

A: Here we have to find the radius of convergence and open disk of convergence. 

Q: Let an​ be an arithmetic progression. If a1​=4 and a2​=7, determine a11​

A: Arithmetic progression

Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: r(x)=(6−x)3 Step 1 of 2 :   Determine the more basic function that has been shifted, reflected, str...

A: Solved below

Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

Q: Find the equation of the circle that passes 3 points (1, 2), (-3,8) and (-9,6).

A: It is given that, 1,2,-3,8 and -9,6 are the three points.   The objective is to find the equation of...

Q: then the distance from a point P to the line L is equal to the length the component of the vector AP...

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Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х? ...

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Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: Let's find. 

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

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Q: a) Generate an irregular figure (original) using a grapher and with the help of two functions. b) D...

A: We have to generate an irregular figure with the help of any two functions and then have to determin...

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

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Q: 3. Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x + 1 (x-1)6'

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the area of the parallelogram that has u = 1 v = 3j+ k as adjacent sides. NOTE: Enter the exact...

A: Given query is to find the area of the parallelogram.

Q: Detemine f the series n(in(n)) Show you work separately and submit it using the link in the Exam tab...

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Q: The equation of the circle is X² +Y? = 11 what is the center of this circle (11,11) (2,0) 3 4 خيار 6...

A: Center of Circle Formula The center of circle formula is also known as the general equation of a ci...

Q: y 10 9 8. 6. 5 44 3 2 1 1 2 4 5 6. 7 8 9. The graphs of f and f can be seen to be reflections of eac...

A: The domain of a function f(x) is the set of all values for which the function is defined, and the ra...

Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3 ...

A: To find given integral.

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it, 

Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: Determine if the series comverges or diverges. If the series converges, find its sum. If it Σ 4n 4(n...

A: This is a problem related to series and sum calculation Based on the available method we will find o...

Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: 120 150 30 360 11 240 300

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Q: Que of the component of the vector AP that is orthogonal to the vector AB. Math Grap P Qu Mat Vi Use...

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Q: s opposite direction to the vector u = .

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence....

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