The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is to be solved using t 2_ r 2 dh. What is the expression circular ring method. The formula for solving for the volume is given by V= - Sox (r ₂²-1, ²) ah. I a corresponding to "? ,2

Q: 1. Write the polar form of the following complex number Z = 3

A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)

Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: 1

A: We will solve the problem.

Q: 0 %16 0 رجوع > ۸:۲۹ م 4 من 4 sin x 6. f(x) = x2 + sin x ه الكاميرا ...| - = Find-f'(x)

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Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

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A: Here we have to find the equation of the tangent line of the function…

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Q: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

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Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

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Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: 5. Suppose f is continuous on [2, 8]. Use the table of values of f to f(x) dx using a left, right,…

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Q: Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A: The function is given by y = x2sinx+xcosx-2sinx To evaluate: The first derivative of the function.

Q: Find the slope of the tangent line to the graphof the polar equation 1 r = at Ø= 1-sinø 6

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Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

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Q: Given: 3zxy Find fx O xy/3 O y/3 O x/3 None of the choices

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: remaining

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Q: The polynomial function f is defined by f(x) = −2x² + 3x³ + 5x²-x-5. Use the ALEKS graphing…

A: We need to find local maximum.

Q: 1- Find the inverse of 2=2-51.

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vectors A and B such that A is parallel to 2, 1,-1, B is perpendicular to 2, 1,-1…

Q: 18

A: We will solve the problem

Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin² z, Z = [0, π]

A: Given.   x^2+y^2=sin^2z

Q: Exercises To Solve [No.5] Lim 9-5 a -4 dx ·8X-15 6 Sinx+25inx+5

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Q: QUESTION 6 ·S. sece tane de sece - 1 The integral cose de 1-sine sec²0 de 1+tano sine de 1+ cose x…

A: Let's transform given integral.

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x→1 x+3 a. Find lim f(x) or…

A: Here is the solution of the given problem. To, solve this problem we use the simple criteria of…

Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The function y=x-523

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Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Use the slopes of tangents to determine whether the function -6x2+36x is increasing, decreasing, is…

A: Given function, f(x)=-6x2+36x We know that function is said to be increasing when f'(x)>0, and…

Q: The gradient of a curve is dy/dx + (x^2)/2 = 3x. Find the equation of the curve if it passes through…

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Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

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Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

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A: We want to find the differential of g(x)

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Q: need the answer quickl

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Q: Question 1 S x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form:…

A: The objective is to find the right option.

Q: Newton's Law of Cooling a) A cup of coffee has temperature 95° C and takes 30 minutes to cool to 61°…

A: SOLUTION-

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A: We have to find out the slope

Q: 1. The derivative of a constant is equal to A. -1 C. 1 B. 0 D. 2 2. If ƒ(x) = −5π, then ƒ'(x) is…

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Q: c) 3,-1, -3, 3, -9, -27, ...

A: If the difference between two successive terms of a sequence is constant, then the sequence is…

Q: a) 66, 54, 42, 30, ...

A: The given sequence,      66, 54, 42, 30,.....

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Using the tangent line to the graph of the function f(x) = In(x2 + 1) at x = 2, what is an…

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Q: y = (1+x)² 2 x² 2

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