Let a = -27 +53 + 4k. Find a.

Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

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Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: To find the derivative.

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: valuate the following integral or state that it diverges. 6 10 cos A. K|X Select the correct choice…

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Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Given a solid right circular cone having a height of 8 cm. has a volume equal to 4 times the volume…

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Q: 25 5.²5 4 Incx √x dx

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Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: Write the partial fraction decomposition of the following rational expression. 3x² - 8x + 20 X(X +…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Write the given expression as an algebraic expression in x. cos(2 cos-¹(x))

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Q: True or False: We have Select one: True False 2 1² x²dx > 2 Si 1 x³ dx 3

A: Given ∫12x2dx>∫12x3dxx3312>x4412233-133>244-14483-13>164-1473>154Multiply 12 on both…

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: e intervals on which f(x) = x² In x is increasing and decreasing, and the ervals of concavity and…

A: Topic:- application of derivatives Definition :-  Inflection point :-  The point of inflection or…

Q: cos² (x) + cos² (1) (x) cos³ IF .dx

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Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: sec 3 x tan x (sec ³x sec³x secrx S see of secxu S u ли secx u du dx let a = tan x du = sec² x dx…

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: 25. Maximum revenue. A deli sells 640 sandwiches per day at a price of $8 each. (A) A market survey…

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Q: 17. Use the method of disks/rings to determine the volume of the solid obtained by rotating the reg…

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Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Answer :- Given ,  The side of a regular pentagon is 25 cm  If the radius of its inscribed circle is…

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: The face of coin is either head or tail if three coins are toss what is the probability of getting…

A: The outcome where it's either three heads or three tails is HHH or TTT respectively.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F. I

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Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

Q: O Evaluate Je*+1 dx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: Se³x cos (2x) dx 3x

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Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: Find the derivative of the logarithmic functions: y = ln(12x-4)

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

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: 5. f 3√xdx

A: Topic = Integration

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.