Find the derivative of the function. f(x) = 5x²1n 3x

Q: Find the exact solution for e2-2e-35=0. 2x If there is no solution, enter NA. Enclose arguments of…

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Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

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Q: The revenue, in dollars, derived from the sale of a units of device model SDP732 is given by…

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Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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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: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Total 4 parts  Value at time t  Average and instantaneous rate of change

Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

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Q: Suppose that R is the finite region bounded by f(x) = √ and g(x) = co/8 3

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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: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Draw the graph of the parametric curve defined by x(t) = 6 cos(t) and y(t) = 6 sin(t) below.

A: To draw the graph of the parametric curve defined by  xt=6 cost and yt=6 sint.

Q: 2 Rewrite cosx - sin³x cosx using only one trig function. Be sure to simplify.

A: To rewrite the expression cos x - sin2x × cos x ,using only one trigonometric function, we can…

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: Find all the first and second order partial derivatives of f(x, y) = 6 sin(2x + y) — 2 cos(x − y).…

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Q: Perform the indicated integration using INTEGRATION BY PARTS 1. √z. In z dz

A: To perform the indicated integration by using integration by parts. ∫z·lnz dz Note: Since the…

Q: y = c₁ cos(3x) + C₂2 sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y =…

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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) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: Given conditions: The given function is y=x⋅x+3 ​ What we need to find: (a) Intervals of increase or…

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: It is given that the annual simple interest on the investment is 15%.  also the amount after 3…

Q: Q4/ For the following three matrices : k 4 k A= 0.5 2k 0.5 2 8 2k 1 3 B=m 2 1 m a- Find value of (k)…

A: Given: A=k4k0.52k0.5282k,B=13m21m,C=22161184432 We are required to: a. Find the value of k if A is a…

Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

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Q: Find the average value of the function f(x)= xex² over the interval [0,2].

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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: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: To find the scalar equation of the plane, we need to eliminate the parameters (s and t) from the…

Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: Solve the given differential equation by separation of variables. 1 y In(x) dx = (v + ¹)² dy x³ln(x)…

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Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

A: Solving the problem

Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

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Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

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Q: Compare the functions f(x) = x³ and g(x) = ex by graphing both functions in several viewing…

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Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

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Q: An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars…

A: An investment worth $1 million in 2005 has been growing at a rate of ft=0.141.18t millions dollars…

Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for à note…

A: A = P (1 + rt) Where  A -  Accumulated amount              P -  Principal amount              r -…

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Find the point, P, at which the line intersects the plane. x = -7 +4t, y = −5+8t, z = 7+ 5t;…

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