x = −1+5t y = 3-s-2t z= −2+s

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: 6. (a) f(x) = arctan (e-2) 6. (b) f(x) = [arcsin (²)]³

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Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: 2028 (51n 20) 2028 (7In…

A: Given p(x)=(5x)7x and x=4To find p(x):

Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: Evaluate the following antiderivatives. S dx √x²+2x+5

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Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: The following information is given. f(3) = 5, f(5)= 3, 11. (a) Find H'(3) if H(x) = g(f(x)). 11. (b)…

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Q: Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid…

A: The symmetry means we can integrate from 0 to 1 and double the answer. x = 2 + y² opens right and…

Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

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Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

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Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: A Sequence is said to be convergent if it approaches some limit. A sequence is said to be divergent…

Q: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

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Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

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Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: Determine the area enclosed by y = from x= -3/2 to x = 1. |- 1 x+2 and y = (x + 2)²

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: To find velocity at time t  and distance travelled during given time interval.

Q: CHECKPOINT 1.24 Integrate the function [²₂x³dx.

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Q: The first step in computing the area of regions using the limit definition is to write the given as…

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Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

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Q: 1 (√x² – 9) , -dx

A: ∫vn dv =vn+1n+1+C .

Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

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Q: (y − √√x² + y²) dx − xdy = 0 when x = x √(x² + y²) = 1 Option 1 y-√√(x² + y²) = 1 Option 3 y —…

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Q: Consider the following functions. f₁(x) = x₁ F₂(x) = x², f3(x) = 3x - 7x² g(x) = c₁f₁(x) + C₂f₂(x) +…

A: To find whether given functions are linearly dependent or independent.

Q: To produce x units of a religious medal costs C(x)=15x + 112. The revenue is R(x)=31x. Both cost and…

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Q: a-limx-4(2)

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Solve the following differential equations |y" + 21y+8x = y" + 5y'+e²x

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: 1. Evaluate the definite integral *2³²√³+1 dr. (a) ² (27+2√2) (b) (27-2√2) (c)(2√2-27) (d)/(2√2+27)

A: I have stated the used formula in the solution.

Q: Determine the volume of the solid under z = 4xy + x² over the rectangle R= [1, 2] × [0, 3]. [Show…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: Find dy/dx if y=3x2 – 2x.

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Q: /. Find the limit of the = lim 4-√x²77 X - 3 1

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Q: ♡/ Find the Domain and the range of the function F(x)=√x-2

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Q: Determine the domain of the function. 4x-7 4x + 36 f(x) = The domain is (Type your answer in…

A: Find out the domain of the function.

Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: Q1\A: Find the value of K in the following linear system which is make the solution failure Kx+3y=6…

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Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Solve the problem. 5) Find the dimensions that produce the maximum floor area for a one-story house…

A: since all questions are separate. According to bartleby guidelines  i need to solve the first one…

Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: (15) Use the divergence theorem to evaluate SSF. ds, where S 3 F(x, y, z) = and 5 is the surface of…

A: To evaluate the given integral using divergence theorem.

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

A: