Q: need
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Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab
A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…
Q: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…
A: Solved below.
Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…
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Q: 18. Find the partial sum. Σ128(4) n=1
A: Given problem:-
Q: 6) If nP3 = 2 nC4 then nC6 = A. 1716 B. 3003 noituloa s ni fluash blud C. 5005 D. 8008
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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…
A: Topic:- exponential growth function
Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…
A: I am attaching image so that you understand each and every step.
Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value
A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k
Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =
A:
Q: Solve for So So Szyzdzdydz. 0522 108
A: To solve for ∫03∫02∫15 xyz dz dy dx.
Q: dy Find the general solution of the differential equation: dt What is the integrating factor? µ(t):…
A: topic- differential equations
Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices 19.7(cos23.96°+ ?…
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Q: Find the area of the region bounded by the curves y = x² and y = - x² + 4x. 9/4 11/3 12/15 8/3 none…
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Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…
A: Given; curves y=√x , y=x/2 rotated about x=5
Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…
A: According to our company's guidelines I can only answer first question (b), since (c) is not…
Q: Which of the following correctly represents the plane region in the first quadrant bounded by the…
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Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…
A: Given: logc1+2logc5+logc2+logcc-12logc100
Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.
A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.
Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…
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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.
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Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…
A: In this question, we want to convert the polar equation in Cartesian equation.
Q: Given the function G(x)=√x² - 4, G(x - 1) = √x² 2x 3 x² 3 x²+2x-3 x²-3 O
A: Solution is done in step 2
Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…
A: Integration
Q: 21 = 106 55 104 102 ܐ
A: We have to find the sum of the series.
Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…
A: Finding consumers surplus
Q: Evaluate the integral. (Use C for the constant of integration.) It t sin(t) cos(t) dt
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Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…
A: Consider
Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…
A:
Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]
A: Topic = Area
Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h
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Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…
A: simple integration are ...
Q: 26/ Given the triangle 39° 11 answer to 4 decimal places. x = x find the length of side x using the…
A:
Q: 3. y= (sec ³x + tan ²x)
A: Topic:- application of derivatives
Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103
A:
Q: Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)
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Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…
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Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…
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Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?
A: We have to find the number of ways in which the letters of the word algebra be arranged in…
Q: 2) Sketch the solid whose volume is given by the integral and evaluate the integral. ∫0 to pi/2 ∫0…
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Q: The curve C has the equation y = x³ 3x² - 24x. Find the turning point of the curve. (a) (b)…
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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…
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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…
A: To find out the volume of revolution.
Q: A number is chosen at random from the first 20 integers. Find the probability that the number is a…
A: Topic = Probability
Q: Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select…
A:
Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…
A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…
Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…
A: The objective is to find the indefinite integral.
Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…
A: Topic = Geometry
Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…
A: Concept: To find the limit of x put equate the values of y The volume of the solid in the x-y plane…
Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)
A:
find y'
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