in changing variables to polar coordinates, the dA in [[ f(x, y) dA R becomes r² dr do. True False

Q: Let P be the point in R^3 with rectangular coordinates (√2, −√2, 2√3). How to find the cylindrical…

A: We have given rectangular coordinates  (x,y,z) = (√2, -√2, 2√3)

Q: Set up a triple integral using cylindrical coordinates that finds the volume of the solid bounded…

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Q: For the function f(x)=ln(1−5x)​, find the Taylor polynomials of orders​ 0, 1,​ 2, and 3 generated by…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Consider the following vector function. 1, 12², 1²) (a) Find the unit tangent and unit normal…

A: The given vector function rt=3t, 12t2, t2

Q: Bottom of the page is cut off i cannot see the solution.

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Q: For the given cost function C(x) = 19600 + 200x + x² find: a) The cost at the production level 1750…

A: Since, you have posted a question with multi-parts. As per guidelines we'll solve only first three…

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Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

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Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. consider F(x, y) = (y² − 2xy) i + (2xy − x²) j. (a) Show that F is a conservative vector field in…

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Q: (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

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Q: At what time between 4 and 5 o'clock will the hands of the clock be opposite each other?

A: We have to solve given Questions.

Q: - Find the radius of convergence, R., for the power series (-1)n n²(x − 1)" 2n.n! OR=∞ OR=0 O R 8 -…

A: NOTE: Refresh your page if you can't see any equations. . here we have substitute n+1 for n

Q: Use the Fourier sine transform to solve the following BVP with 0 0 10₂4+02=0, მყ2 u(0, y) = 0, u(π,…

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Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: Find the limit. lim X→1 lim X→1 √√x² +15-4 2 X-1 2 x + 15 -4 X-1 || = (Type an integer or a…

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Q: x dy-y dx = x3 dx y" Answer: 4x + x4y + x¹y = Cy.

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Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

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Q: O O 2x4 1,34 dx +1 NIS In[x5 + 1] + € C In[x5 + 1] + C 5 In[x 5 + 1] + C In[x5 + 1] + C

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = x + 2…

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Q: Evaluate 02 3√2 0 1 3√2 0 1 |- √2 1|2 sino 4cos0 LLL rdzdrd0.

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Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: x²–2x (x+1)²* 3. Given the function f: x - a) Find the intervals on which f is increasing. b) Find…

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Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

Q: Find the exact value of the indicated trigonometric functio 2 =, , tan 8 <0 Find sin 8. cos 0 =

A: answer is in next step. please give a like !

Q: 1 1+exte -X dx

A: Yo evaluate the integral.

Q: '() = xp (x-₂x) + xp (x + xx7)

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Q: *7. Draw the region whose area is given by the definite integral. S₁₁7 = dx Which graph shows the…

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Q: A rock thrown vertically upward from the surface of the moon at a velocity of 40 m/sec reaches a…

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Q: Let f(x) = 14x + 6 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is fx=14x+6-17ex we have to find the equation of the tangent line at the point…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Write the sum using sigma notation: 9 +13 + 17 +21+ A = B = A + 45 = ΣΒ, where n=1

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Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: Evaluate the line integral [21r²yzds with respect to s along the 2 curve C : x = t₁ y = t², z =…

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Q: potential

A: Please refer to the image below

Q: Find the directional derivative of w=2x²yz in the direction of v=3i-4j at the point (-1, 1.13)

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Q: Solve the differential equation: dy = A - By. Find the general solution to the dx differential…

A: We need to find out the general solution and particular solution for the given differential…

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (14, 3,…

A: Topic- Equation of line through given points

Q: Let f(x) = x²-1 (a) Make tables of the values of f at values of x that approach x= -1 from above and…

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Q: Express the equation in logarithmic form: (a) 45 = 1024 is equivalent to log4 A = B. A = and B = (b)…

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Q: (a) Determine whether the series n=1 6n² +7 4n³ + 5n

A: As per the instruction, we will be answering the first question. For (a), Given: Now,…

Q: Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over…

A: Topic = Function

Q: Evaluate the following integral. 12 S 0 4 log 13 (x + X + 1 1) -dx

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Q: f(x) = S n=1 (7-2x)" 6n

A: Radius of convergence of the Power Series : Consider the power series                ∑n=1∞ an(x-a)n…

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: Find the Maclaurin Series representation of the function f(x) = x cos(2x). (Hint: If you know the…

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Q: Please help need asap..answer both please and i will rate high

A: We have to choose the correct option from the given options according to the given infinite series

Q: Question Find the change in surface area dA if the radius of a sphere changes from 11 cm to 10.8 cm.…

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