Find an explicit solution of the given initial-value problem. dx dt = 7(x² + 1), x(7) = 1 X ||

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Above question is solved.

Q: Find the general solution of the given differential equation. 2 dy dx - + 6y = 3 y(x) = Give the…

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line =…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: 2 ln x + ln (x+1)- 1/2ln (x^2+1). Compress the logarithmic expression.  PRE-CALCULUS HW question..…

A: The given expression,   2 lnx+lnx+1-12lnx2+1

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: . x + 3y = y² + 4 A. 18 3-2y B. 3-2y C. 1 2-3y D. 1 2-3y

A: As you are asked multiple questions but as per our guideline we can solve only one. Please repost…

Q: 41- - ST x² coscyldy dz dx

A: ∫ cos(y) dy= sin(y)+C

Q: 3 4 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

A: Above question is solved.

Q: x/8 sin 3r cos 5r dr

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Q: Q5) Solvex + 2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h =…

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

A: Solving the problem by finding the value of the problem.

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: 3. Compute the net area of the following function on the given interval. f(x)=x²-4; [-2,2] -14 <-2…

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Q: x" -2x +x= 15; x (0) = 7, x (0) = -16

A: We have solve the given differentiable equation…

Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

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Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: fx is linear, gx is linear and hx=fxgx

Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 3 7 Scot³x c₂c²³x dx - esc X

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Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

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Q: Find dy/dx by implicit differentiation. /xy = x³y + 73 dy/dx =

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Q: xdx+sin y ४ (vdx-xdy}=0

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Q: Determine the law limit applied in solving lim 3 = 3. t-1 A. Limit of an identity B. Limit of a root…

A: Solution ) limit of a constant  limx→a b = b  limit of x tending to any value is value of the…

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: E S™ SX 5x5x²x² coscyl dyd z d x "X d 2 +

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Q: ९२ e 17 olx

A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: Area of a circle 2. Use definite integration to show that the area enclosed by a circle of radius 1…

A: The equation of a circle of radius 1  is:x2+y2=1

Q: Sylvia had planned a shopping trip to the United States so she bought US$500 from a bank when the…

A: Concept: Sylvia has US$500 First, the exchange rate was US$0.7834 for C$1 Then the exchange rate…

Q: Determine the values of b and c such that the function is continuous on the entire real line. f(x) =…

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Q: 3) The line L: x = 3 + 2t, y = 2t, z = t intersects the plane x + 3y -z = -4 in a point P. Find the…

A: This question is based on 3-d geometry.

Q: (a) (b) 2x3/2 7x² 2 7x + 9 lim x-00 lim x→ 2x3/2 3/2 +9 2x3/2 lim x+00 7√x + 9 7x 11

A: We know that when x tends to ∞, 1x tends to 0.

Q: Solutions converge to the function y =

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: 1. What is the vector and parametric forms of the equation of the line passing through points…

A: This question can be solved using the concept of vector and parametric equation of line passing…

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 7x)y², y(0) = 2…

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Q: The volume of a solid E is given by 9-1² 9-x²-y² 1.***** 1 dz dy dx -3 JO 0 (a) Sketch each of the…

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Q: 1-5th gaase rsino drdo

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 7√x + 6x³ that passes…

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Q: Find the derivative of each of the following functions using any method. 4.) f(x) =…

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Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Solve the following initial value problem using Laplace transforms. y"+2y'-3y=3e¹, y(0) = 0,…

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Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

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Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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