Q: dy Solve the differential equation dx x6 +4y X
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Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.
A: We have to find out r
Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].
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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…
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Q: Solve using Inverse Operaators. y"" - y = 4e-x + 3e2x; Particular Solution: Y=C1+ C₂ eax + C3 ebx…
A: Given that,
Q: If 40 articles cost $35.20, how much does 1 article cost? What is the cost of 55 articles
A: I am attaching image so that you understand each and every step.
Q: Test the following series for convergence or divergence. State the test you are using and show all…
A: We need to check whether the given series diverges or converges.
Q: Find the derivative of the following function. 8x e y= In 4x y'=
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Q: B)Solve the differential equation **
A: Here, the given DE is: dydx=x6+4yx⇒dydx=x5+4xy⇒dydx-4xy=x5 which is a linear DE with P(x)=-4x&…
Q: In the attached figure are represented the continuous functions g: R → R and h: R → R 9 h If it is…
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Q: A region bounded by f(x) = x², y = 0, and x = 4 is shown below. 2 Find the volume of the solid…
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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…
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Q: Find area bounded by y=0,y=√x-x² using double integration.
A: To find the area of the given region.
Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. X = =…
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Q: Past records from a factory producing electronic components show that on average, new employees can…
A: Past records from a factory producing electronic components show that on average, new employees can…
Q: If f f(x) dx = 3 and I. III. [f(x)g (x)] dx = −6 III only I, II and III I only O II only g(x)dx =…
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Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…
A: This question is related to derivative, we will solve it using given information.
Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…
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Q: CHECKPOINT 1.2 Find the sum of the values of 4 + 3i for i = 1, 2,..., 100.
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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…
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Q: 5. Integral ReR dR
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Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =
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Q: Solve the differential equation: dx dy + x = e-y.sec²y
A: Here we have to solve the differential equation.
Q: 1-p p#1 u(c) = In c Show that limp-11-p C¹-p Given this result, is u continuous at p=1 ? p=1 = In c
A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1
Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…
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Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…
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Q: Calculate the future value of end- of-month payments of $500 made for 4 years into an investment…
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Q: Find the location and value of each local extremum for the function. 28) + -3 3 -4 -M
A: To find location and value of each local extremum of given function.
Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7
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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…
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Q: The equations of the asymptotes of a hyperbola with transverse axis (focal axis) parallel to the…
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Q: Question 7 Find the partial derivative of z with respect to x 8: da = -2x (3x²+1) sin(x²) + 6xcos…
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Q: this is incorrect please resvole
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Q: B)Solve the differential equation x+4y M
A: Given differential equation is:
Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…
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Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]
A: We have to find derivative of given function.
Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=x²y²z²-4 At point (1,-1,2).
A: To find normal line and parallel plane to the function fx, y, z=x2y2z2-4 at point 1, -1, 2.
Q: Solve the initial-value problem. x(t) = x" + 3x' + 2x = 1 + t², x(0) = 0, x'(0) = 2
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Q: Using the Inverse Function Theorem, what is (1-1) (8) given that /(x)=√√61-2? Note that (11) = 8.…
A: find inverse function
Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…
A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.
Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…
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Q: Q1A)The vectors A = 3i+j+ 4k, B= 2i-3j-k, find vector normal to A and In plane of A and, B.…
A: Let's call the vector to be found is C. C vector will be normal to both vector and A and B. we can…
Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4
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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…
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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…
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Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…
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Q: Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.
A: By using the Limit Laws, to find limt→0 t2+9-3t2.
Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…
A: We have to choose correct option for given questions.
Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…
A: A box for the apples to apples game such that its width is exactly three times its length and its…
Q: Let F(x) = [² costdt. Find F'(x).
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