Solve the following differential equations ** - 2x +2y=x²₁ dy dx

Q: For the function f(x) = 5(2) - 7, state its domain, range, and asymptote and then graph the…

A: Given, the function…

Q: The graph of a function f is shown. O O Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: (2) Prove that TT/2 S tane Z coś 0 (1 + tano) ² 11 #la

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Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…

A: The cost function is, C(x)=3x2-10x+243

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

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Q: Find the distance from the point S(-2,-1,6) to the line x=2t, y = 10t, and z = -1t. The distance is…

A: point s-2,-1,6line x=2t, y=10t, z=-1t

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: f(x) = x + 1 X

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Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in volts, I is…

A: dVdt=-0.03 volts per second ; dRdt=0.03 ohms per secondR=300 ohms ; I=0.02 ampears And V=IR...1

Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10

A: The equation of the curve is y=x3-4x2 and y=0

Q: fees

A: Solving the problem

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

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Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: Solve ABC. Round the lengths of sides and measures of the angles to 1 decimal place if necessary. A…

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Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

Q: f(x) = x²e-x. Note: It is known that lim…→∞ x²e -X

A: f(x)=x2e-x

Q: 3. Which of the following statements are TRUE about how y=-4 arcsin 3 I. Vertical stretch of 4 II.…

A: Given a transformed trigonometric function, we need to write down the transformations.

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: 1. Verify that y = e²x — e-* −1 is a solution for y" - y' -2y = 2

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Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

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Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: for each question. A correct answer without an explanation will not earn any credit. The population…

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Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: The two forces acting on the handles of the pipe wrenches constitute a couple M. Express the couple…

A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: Evaluate the integral. (Use C for the constant of integration.) [tan²(x) cos³(x) dx

A: let B=∫tan2xcos3xdx

Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

Q: The radian measure of the acute angle is 0 =

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Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: If z = (x + y)e³ and î = u² + v² and y = u² — v²,

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Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: 1. Consider the following vectors a= [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

A: a→=1,3,2 ,b→=-2,2,1

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

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