Solve the following system of equations. 3x+4y = 4 6x+4y = 16

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Q: Write the following equation in logarithmic terms. Do not simplify your answer. e5 = 4.5 Answer ||…

A: we have to write the given function in logarithmic terms . For this, first we should know some…

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Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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Q: *T/2 10 cos(0) r dr de

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Q: Use cylindrical coordinates to find the mass of the solid Q of density p. ₂-(+² x² + y² ≤ 16, x ≥ 0,…

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Q: Evaluate the following limit using Taylor series. 3tan ¹x-3x+x³ 5 lim x-0

A: Follow the procedure given below.

Q: ep 2 We have found that the roots of the auxiliary equation are m₁ = -1 and m₂ = -2. In the case…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co).…

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Q: -6-5-4-3-2- 9 10

A: We will solve.

Q: A population grows according to an exponential growth model, with Po = 40 and P₁ = 72 - Complete the…

A: topic- exponential function

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: We will solve.

Q: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

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Q: t Let f(x) = 4x4 + 6. (a) Use the limit process to find the slope of the line tangent to the graph…

A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 進 ↑ -6+ <||||||||||| Hex

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Q: Integrate f Osin-15x+C ○ -sin-¹5x + C 1 dx 1-25x2 - 5 H|K sin ¹5x + C cos ¹5x + C

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

Q: Which of the following is a power series representation of f(x) f(x) = Σ(-1)". n=0 8 x2n f(x) = Σ 16…

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z + 12 =0 and 2x + 4y - 3z…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Evaluate the iterated integral. •π/2 [y/6 [5/y } 0 sin y dz dx dy

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

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Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: Sketch the region of integration. [ [² x√ 1 + y³ dy dx

A: The answer as follows:

Q: TT/4 0 tant di

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Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞0,00). f₁(x)…

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Q: Which of the following is the graph of y= sin (3x) for 0 ≤ x ≤ 6m?

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞,00). f₁(x)…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

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Q: Determine whether the integral is convergent or divergent. x² V6+x³ [ convergent Ⓒ divergent If it…

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Q: need

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 8e* - 12 y(x) =

A: To find the solution of the differential equation using undetermined coefficients.

Q: 10z +2 (z+1)²(2-3)² S dz

A: ∫10z+2z+12z-32dz

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = (1, 5, 5)

A: Follow the procedure given below.

Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

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Q: Find the area between the curves. 6/5 y=x, y = 4x 1/5 ... The area between the curves is (Do not…

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Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

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Q: Evaluate the double integralfor, f(r, e) dA. Sketch the region R. O π/6 8 O sin(0) cos(8) dr de -5…

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Q: 7 .TT/2 *3 [¹²³r r cose dr de dz

A: Given: I=∫-17∫0π2∫03rcosθdrdθdz   We know that; The Power Rule: ∫xndx=xn+1n+1+C The common integral:…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Solution ) we have option 3rd  y"+ 4y = 0 Auxilliary equation  m2 + 4 = 0 m2 = -4 m = √( -4 )  m =…

Q: ssume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

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Q: find X so that the net present worth of the investment is zero

A: answer is given in step2

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Write an exponential formula of the form f(t) = a b' to represent the following situation. Assume t…

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Q: Given the unit circle, x^2 +y^2=1. Sketch the unit circle and pick a point K(a,b) on the unit circle…

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Q: Find the general solution of the given higher-order differential equation. y"" - 8y" - 9y' = 0 y(x)…

A: The given differential equation is y'''-8y''-9y'=0 ............ (1)  Equation (1) can be rewritten…