Q: (Simplify your answer. Type an exact answer, using radicals as needed.) b. y = (Type an exact…
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Q: [² 11. [(2 sinx+cos.x) dx 9. 13. 15. x¹/3 19. 21. 3 x2/3 - dx 17. [(3 cos x - 2) dx [(5x- 2²/1) dx…
A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…
Q: 12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0
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Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…
A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…
Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³ Part 1 of 4
A: In this question, we will plot atleast six points to sketch the given function.
Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x
A: Since multiple questions are asked, I am answering first question
Q: cos¹3 xdx 2. Dễ sin12xcos®xdx 1.
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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…
A: Topic = Functions
Q: Let g=yf(xy). Show that: - მყ У ӘУ дд - X- = g дх
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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…
A: The differential equation is given by, t2 y'' - 4t y' + 6y = 0 Given, y1 (t) = t2
Q: Let r(t) = (3t², 6, 2t). Find the curvature when t = 0.
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Q: | dx X æ /æ2+100
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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…
A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…
Q: Suppose r' (t) = (cos(t), et, 2t) and r(0) = (1, 0, 3). Find r(t).
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Q: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…
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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…
A: We have to find out equation of tangent
Q: Use the limit definition of partial derivatives to find fx(x, y) and fy(x, y). f(x, y) = x2 − 4xy +…
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Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…
A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2
Q: 6. (2y²x−y) dx + x dy = 0
A: 6. 2y2x-ydx+xdy=0 Note: Multiple questions are given, we are answer with only one question. If…
Q: (4) fxe-x dx
A: We solve this integral using integration by parts method .
Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: X y = x + Ae^ + Be - 2x
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Q: Find dy ду é^sinx in sx
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Q: 8 If f(x) = 3 + = + x 6 x2 find f'(x). Find f'(4). Round to 3 decimal places if necessary.
A: Given that f(x)=3+8x+6x2-(i)Our Aim is to find f'(x) and f'(4).
Q: 9. f dx 3x²√√25-x² 10. √ √² + 2tdt 11. f 3x+1 -dx 3x³-2x²-4 12. x²(x-1)(x+2) dx
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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…
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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…
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Q: Given the space curve r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4 B
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Q: (B): Find the tangent equation to the curve y = sin² x at point x F.
A: We can find the tangent equation at the given point as below.
Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…
A: Given :y=2x2
Q: The half-life of Strontium-90 is 28.79 years. If a sample contains 490 mg, how many mg will remain…
A: Given half life is 28.79 years Initial mass =490mg To calculate mass after 180 years.
Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x
A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x
Q: f(x) = x+2-e² Use the initial estimate x1 = 0.5: *1 = 0.5 x2 = I3 = C4 = I5 = I6 = 27 = Submit…
A: To find he root of the equation using newton method
Q: 3. (x³+xy²-y)dx + (y³+x²y+x)dy =0
A: We need to find the solution for (x3+xy2-y)dx+(y3+x2y+x)dy=0
Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…
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Q: x+2 3.) (x²-1)(x²+1)² of factor. dx; Solve by using partial fraction. Indicate the type
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Q: (-3,-2); find tan
A: tan = y/x tan = y component/x component here y = -2 x = -3
Q: 1) - 7x²+14x+15 (x²+3)(x+7) dx
A:
Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (1 + s)i + j K = (No…
A: The given problem is solved below in detail.
Q: Use Linear Approximation to estimate the quantity 1 80.5
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Q: Σ(1-1) η n +1
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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…
A: Given data÷ Marginal cost cp=$0.012 per page Where p=number of pages
Q: Describe the domain and range of the function. F(x, y) = 5x² - y Domain: 0 {(x, y); x = 0} 0 ○ {(x,…
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Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…
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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…
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Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…
A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2
Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²
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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…
A: To evaluate: lim(x,y)→(0,0)x+yx5+y
Q: Evaluate the function at the given values of the independent variables. Simplify the results. g(x,…
A: We can solve this as follows:
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