2x² + 5x = x + 4y

Q: antiderivative. Use C for the constant of integration. 1 3 cos² (4x) F(x) = (In(|sec (4x) +…

A: Given The aim is to find the antiderivative of .

Q: Find an antiderivative F(x) with F'(x) = f(x) = 6e² and F(0) = 4.

A: F′(x)=f(x)=6e2x and F(0)=4

Q: When Abraham jumps into the air, his height in feet above the surface of the water is given by h =…

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Q: Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

A: The region is bounded by curve  and x-axis from

Q: Use complex number operations to determine the solution to the expression below. The final solution…

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Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: y = xe-x , 1 ≤ x ≤ 7

Q: Find the area of the part of the plane with vector equation r(u, v) = (6 + v, u - 5v, 9-4u + v) that…

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Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)), and can…

A: Solution is following in explanation step.

Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

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Q: JO 1/8 ន √1 16x2 dx

A: By change of variables to evaluate the following definite integrals.

Q: Find an antiderivative of the function g(x) = 6x³ +7. An antiderivative is

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Q: Match the graph of the function on the left with the derivative on the r 1. a. 2. 3. 4. -10 10 -10…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Jasper Furnishings has $200 million in sales. The company expects that its sales will increase 13%…

A: The simple linear regression provides us with a mathematical relationship between two variables on…

Q: (ii) Given f(x) = ¹ and the interval [1, 3]. Find the average value of f on the given interval. Find…

A: The given function is

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: The objective of this question is to find the critical numbers and the open intervals on which the…

Q: Find the indefinite integral. [(e² + +6) dx = +C

A: We have to find the integration of

Q: Use l'Hôpital's rule to find the limit. Use -∞o or ∞o when appropriate. 3x²+5 lim x→∞04x³ +2 Select…

A: The objective of this question is to find the limit of the expression (3x²+5)/(4x³ +2) as x…

Q: d) In (x²)dx

A: we need to find out the integration."As per the rules, we are supposed to answer the first question…

Q: Find the indefinite integral. (8x + 2) dx = = +C

A: We know that,.Let assume,

Q: I had that first answer but it was wrong and I also had 2 sin theta cos theta but as my second…

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Q: A biologist has two brine solutions, one containing 2% salt and another containing 8% salt. How many…

A: The objective of this question is to find out the amount of each brine solution needed to create a…

Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: (d). find the y-intercept. (e). Graph f(x)=-4x²-24x-32. Include a table of values. (f). Give the…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: The polar coordinates of a point are given. Find the rectangular coordinates of this point. (4,л)

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 10. Find a function f such that F = Vf and evaluate ScFdr along the given curve C • F(x, y, z) =…

A: If there are two functions, a vector function and a scalar function that satisfies the following…

Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: A particular commodity has a price-demand equation given by p=√14,061 418x, where x is the amount in…

A: The price demand equation is given by  where x is the amount in pounds of the commodity demanded

Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

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Q: Find the average value of h(x) over the interval [1,7] given that g (z)=-6x + 8. Edit View Insert…

A: Given,

Q: 37. se sec² (10x + 7) dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose the height of this motorbike's jump is given by h = -16t² +32.1t+5.7 where h is the height…

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Q: Consider the problem min x2 + 2x2 such that r₁ + 2x₂ = 3 #1.22 The bordered Hessian for this problem…

A: The problem is given as,such that

Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

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Q: (a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

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Q: se the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique lution in…

A: 1) x47+8x-2=0, [0,1]2) -x100+6x+2=0, [-1,0]

Q: The graph of a function f(x) is given below. Use the midpoint Riemann sum with 4 sub-intervals to…

A: A graph of the function is given.The aim is to find the midpoint Riemann sum with  subdivisions.

Q: Evaluate the definite integral. 5 J 1+162 -dx

A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Find the area A of the region that is bounded between the curve f(x) = −2 sin (2) over the interval…

A: Given that the region bounded by the functions  and  over the interval

Q: Let f be the function given by f (x) = √√√√x – 1. On a coordinate axes, sketch the graph of f and…

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Q: •3 L₂(³- -2 - (3 - x) dx

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Q: Evaluate the limit, limx→∞ 3x² e4x

A: L=limx→∞e4x3x2

Q: The equation of a hyperbola is 64 a) Find the center, vertices, transverse axis, and asymptotes of…

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Q: Evaluate the indefinite integral. [(arcsin x)² √1-x² -dx

A: We have given indefinite integral-First let's define that-

Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: The price-demand equation for a particular flashlight is given by p= 114 -0.004x, where x is the…

A: We need to find consumer and producer surplus.