In the space below, solve the equation 5x-3=4x+1 Show your work

Q: 2. Find the anti-derivative of the function f(x) = e* sin (^te^)

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Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The region enclosed by curves 6x+y2=16 and x=y

Q: Variant 4 (extra). 1. Find the partial derivatives of: =(x,y)=9sin x-5x²y³ +7+ ycos.x+e¹

A: Z(x,y)=9sinx-5x2y3+7+ycosx+ey

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Q: Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = =…

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Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

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

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Q: A function fhas a slant asymptote y = mx + b (m‡0) if lim [f(x) - mx + b] = 0 and/or lim [x)-mx + b]…

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Q: f(x) = 8+x 8 - x on [4, 6].

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Q: 14x^2-13x-12 using box method

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

Q: Using Double integrals in Polar Coordinates

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Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: L (4 + √36-x²) dx

A: Evaluate the definite integral  We know that the formula int_a^b f(x) dx=int_b^a f(x) dx

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 258 - cost is MC =…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: The daily demand function for x LED lights sold by a major retailer is p=722.5-0.25z dollars, and…

A: Given Demand Function  p = 722.5 - 0.25x  Given average cost function  C¯ = 250 + 2x Let profit…

Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: 3. A rectangular picnic area of 8000 m² is being constructed by the Parks Commission along the edge…

A: Let side opposite the river denoted by x Let other side is denoted by y As we know that area of…

Q: The series Σ n=1 convergent. (-1) " n 0.9 Select one: O True O False Give your reasons is absolutely

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Q: Find a plane containing the point (-2,-1,2) and the line of intersection of the planes -3x + 5y + 8z…

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: The following graph of the function f satisfies lim value of 8 >0 such that the precise definition…

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Q: Without a calculator work out the value of 5632–1402 1128 – 1 10 4 Please share your mettrod.

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Q: A dynamite blast blows a heavy rock straight up from the ground." Height = 0 when time=0" The…

A: Vt=160-32t

Q: State the order of the given ordinary differential equation. t6y(5) - t4y" + 5y = 0 Determine…

A: To state the order of the given ordinary differential equation. t6y5-t4y''+5y=0 To determine whether…

Q: f(t) = t sin(at) 14. f(t) nat

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Q: (b) J 32+3 22²-2-1 dx

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 5,…

A: a(t)=2t+5, s(0)=4, v(0)=-5 Find s(t).

Q: The light bracket ABC is freely hinged at A and is constrained by the fixed pin in the smooth slot…

A: To determine the value of the resistance force in this situation, the equilibrium conditions must be…

Q: Evaluate the integral. 5 [' f(x) dx where F(x) = {55-x² if -5 ≤ x ≤ 0 25x² if 0<x< 5

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Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: For each of the following functions, by using chain rule to find the  function's derivative. (i)…

Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: 1. Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)…

A: Given data 2+5i2-4i

Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.

Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: Consider a vector field F(x, y, z) = (2xz + y², 2xy, x² + 3z²) and a curve C given by r(t) = (t², t…

A: Consider a vector field F(x, y, z) = &lt;2xz+y^2, 2xy, x^2+3z^2&gt; and a curve C given by r(t) =…

Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y