Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x4 2. ex-edx ex+e-x 3. fxsec² x dx…
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Q: Use the method of reduction of order to find a second solution of the differential equation t²y"…
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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…
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Q: 2 -1 -x²+8x-4 dx 1 x(x²+x-2)
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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…
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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: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…
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Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -
A: I have done solution step by step in detail....go through the solution
Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…
A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…
Q: Sketch the space curve. Function r(t) = (5 sin t, 3t, 5 cos t) 1.0 0.5 0.0 0.0 -0.5 -1.0 -5 N 0.5…
A: Please see the below picture for detailed solution.
Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =
A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…
Q: A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…
A: Basic product rule of differentiation is used.
Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³ (2)y=tan³ √/cot(7x); (4) y = x sinh…
A: Solution is given below:
Q: (-3,-2); find tan
A: tan = y/x tan = y component/x component here y = -2 x = -3
Q: For f(x)= x+1 and g(x)= find X a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify your…
A: The given functions fx=xx+1 and gx=11x
Q: SULWAY 5. x- 7. dx 9. dt In Problems 7-16, obtain the general solution to the equation. dy -y-e³x =…
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Q: Consider lim (x,y) → (0, 0) xy 20 X (see figure). 20 20 (a) Determine (if possible) the limit along…
A: Here to determine, lim(x,y)→(0,0)x2+y2xy
Q: cos¹3 xdx 2. Dễ sin12xcos®xdx 1.
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Q: 11. f -dx 3x+1 +4x
A: these 2 questions are not related to each other so according to bartleby guidelines I need to solve…
Q: Given f(x) = - 12√x + fractions. f'(x) = The domain of f'(x) is 20 X 18, find f'(x) and its domain…
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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: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…
A: If an individual worked 40 hours in a given period and earned $20 per hour, the calculation would…
Q: F = (x²yz, - xy²z, -2xyz²)
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Q: The number of bacteria in a culture is given by the function n(t) = 955eº. where t is measured in…
A: Use exponential function
Q: 1. Suppose that C is the top-half of the circle (x-a)² + y² = a², (a > 0) oriented in the…
A: Please see the below picture for detailed solution.
Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…
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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: Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from…
A: The given function is ; f(x)=x2-3x.
Q: 31-4 A piecewise function f(x) is defined by f(x)=x²+3x+4 x² -7x+12 Part A: Graph the piecewise…
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Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.
A: Change the order of integration and then change limits respectively
Q: Sketch the plane curve. r(t) = 3ti - tj, [0, 3] y O 2 1 -1 -2 y 3 2 - -1 -2 2 4 4 Find its length…
A: This question is related to vectors and parametric equations, we will solve it using given…
Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4
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Q: The region is bounded by the graphs of the equations y sin x, y = 0, x=0, and x-A. For the…
A: See this solution in below
Q: Find the distance between the pair of points (5.5,7.2) and (-0.5,4.2). If necessary, express the…
A: I am attaching image so that you understand each and every step.
Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…
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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);
A: Given :lnx-y=xy+y3y=tan3cot7x
Q: Find the mass and the center of mass of the lamina with density 8(x, y) = √y x² +1 the rectangular…
A: We have the following formulas(i) Mass of a region m=∬δ(x,y)dA, where δ(x,y) is the density and dA…
Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: -2y²z3,-4xyz3, -6xy²z²)
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Q: What is the area of the region between y=x^2 -2x-3 and the x-axis from x=0 to 6?
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Q: 08 06 04- 02 } } yex dxdy = y=0x=y² 0.2 04 06 08
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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: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R=…
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Q: (B): Find the tangent equation to the curve y = sin² x at point x =
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Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with…
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Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4
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Q: Find a set of parametric equations for the line tangent to the space curve at point P. (Enter your…
A: We need to find parametric equation.
Q: The interest on an account increases exponentially. If an initial investment of $5000 earns $900 in…
A: Given: Initial amount =$5000 Increase amount =$900 Time =2 years To find: Rate of increase at the…
Q: 6 ∞ 9 cos (7) x² dx I
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Q: (C): If w = tan x and x = 4²³ +t: Find?
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