Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

Q: 7. Use a change of variables to evaluate X 1 ² ₂ 2 ²4+ 8 da. -dx. +8

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Q: Find the critical points of the function f(x) = x³ + 1¹5 x² + 50x + 8. Use the First Derivative Test…

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Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals…

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Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: b) Find the cube roots of 27%. Leave your answer in polar form. c) Let z3 = 1+√√3i. Write z3 in…

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Q: 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

A: see below the answer

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

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Q: Consider the matrices shown below: A [閒 Compute tr((CTB)AT) 25

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Q: Forces of 36N and 50N act upon a body at a 50° angle. Find the magnitude of the resulting force and…

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Q: The equation N (t) = 500 = models the number of people in a town who have heard a rumor 1+49e-0.7t…

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Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: As per bartleby guidelines we only give first three subpart question answers.

Q: f sech³x tanhx dx

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Q: The region bounded by the ellipse 16x^2 + 9y^2 = 144 is revolved about the x-axis. Find the volume…

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Q: Evaluate the triple integral [ 2³ dV, where E is the solid tetrahedron with vertices (0,0,0),…

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Q: Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y =…

A: Let's find definite integral of arc of length of given parabola y =4-x^2.

Q: X1 (-1, 2) & (-3,0) Y₁ ; X₂ = m m 11 -C Y2 =

A: Solution of given question is written in below steps.

Q: dy dw y-w W y+ W

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Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-9x 6 What is the general…

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Q: I. Evaluate each of the following iterated integrals. /2 siny 1. f/dxdy inx 2. ² ye²dzdxdy

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

Q: 4 √25-x² X 3 dx

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Q: X₁ = X1 X2 = (1, 4) & (3, 8) У1 = m= m= Final answer: Trend: Y2 = ||

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Q: Əw ax Find a. y dw ax (-1, -2,2π) a. and b. = Əw at the point (x,y,z) = (- л₁ − 2,2µ) if w = x² + y²…

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Q: Find the transition points. y = 3x³ - 45x³ (Use symbolic notation and fractions where needed. Give…

A: We have to solve given Questions.

Q: (6xty2) dx ty (2x-3y) dy = 0

A: To solve the given exact differential equation.6x+y2dx+y2x-3ydy=0

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: 4. Let z = x2 + y³, x = 2st, y = s - t2, s = u", and t = u sin w. Compute for Oz ду and дw ди

A: Let z=x2+y3, x=2st, y=s-t2, s=uw, and t=u sin w.To compute for ∂z∂w and ∂y∂u.

Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: 7. Determine the volume of the region that lies under the sphere x² + y² +2²=9, above the plane z =…

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Q: The population of a small city is 90,000. 1. Find the population in 20 years if the city grows at an…

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

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

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Q: X₁ = (-1, -2) & (3, 1) Y₁ = ; X2 = m m Final answer: Trend: || Y2 =

A: Slope of a line is = y2-y1x2-x1If the slope is positive then the trend is that as x increases y…

Q: 4.3√√√7

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Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

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Q: 5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x +…

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Q: (a f (x) + b g(x)) '= a f (x) + b g'(x)

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Q: S 10dz 4z³-4z² + 5z

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Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: (b) Find the chromatic polynomial of G G

A: The number of distinct ways to color the vertices of a graph with certain number of colors is…

Q: 3dx 2. S (x+2)√x²+4x+3

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Q: Suppose f'(x) = 12√/1+4x where f(0) = 5. 1) Find the general antiderivative, f (x). 2) Use the…

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Q: π/3 7. Sp² sin 0 de dp π/6 8. (2-y)dy dx 9. 5/¹¹² x cos y dz dx dy

A: Since you have posted multiple sub parts question in this question which are not interlinked so i…

Q: dz dw || Z-W z+w

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Q: 3 п 2 2 cos² 4x dx

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Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C