What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

A: We have to transform the given function in given form function.

Q: Differentiate exp(sec(x^2)

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

Q: Determine if the vector field F is conservative. F=xyi + yj+zk Conservative Not conservative

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Q: The curve x + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: Find the sum of the first 7 terms of the following series, to the nearest integer. 6, 12/5, 24/25,

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Q: dy Solve of y = log3 (2x + sin a). %3D da A. y' cos(x+2) 2x In 3+ln 3 sin(x) %3D cos(x) +2 2x (2 In…

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Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: 2. Given the points X(-3, -1, 5) and Y (4, 4, -9): A. Write the position vector OX in vector form:…

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: (iii) Find a vector equation for the tangent line to the curve of intersection of the cylinder a² +…

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Q: Answer the following True or False. Let f(x)be a decreasing positive function. Then the right…

A: topic - area under curve

Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

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Q: Use Newton's method to approximate a root of the equation 3x' + 3x* + 2 = 0 as follows. Let r1 = 2…

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

A: topic- matrix operations

Q: For the points P,(4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

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Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: -7 -3 A 87 23 Find the eigenvectors of the given matrix: -.1 1 1 i 3 - 15

A: Solution

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

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Q: The integral of the given function sin³x cos x dx is equal to a. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

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Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: Find the first 5 terms of the following sequence and then write the sequence in list form. b 26 –1 –…

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Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

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Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

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Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: Find the derivative of the function. 3 ew r = 8w dr dw II

A: Solving the problem by finding the value of the derivative.

Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: Express the vector 2u + 5w in the form v = v,i+v2j+ V3k if u = (4, - 5, 2) and w= (-3, 2, - 4). 2u +…

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Q: M(x,y)dx + N(x,y)dy is an exact differential when: M N В. M N C. IN M N D. E. None

A: Topic:- differential equations

Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

Q: x2 +y? +z? - 4x + 8y – 2z = - 12

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Q: In x Find lim x o x2 Find lim x In x.

A: 2.

Q: 19 Four different roads from Town A to Town B, and three different roads run from Town B to Town C.…

A: We will Break this question into two parts.

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

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Q: a) Test the series 7-1)" for n=1 convergence or divergence (show all your works) b) Test the…

A: We have to find series convergence test

Q: The demand function for a particular product is given by D(x) = V0.5x² – 2x + 110 dollars, where x…

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Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: 12" +2 2 (- 1)"-b,. where b = n=1 (n+2) 14"+3 a) Find and simplify bn+1 bn b) Test the given series…

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: The graph of the first and second derivative of the function y = fx is The statement is f is…