3. lim(x²+x-6) X-0 X f(x) ?

Q: 1. Find the distance traveled (to three decimal places) in the first four seconds, for a particle…

A: This is a problem related to integration of the function. B y integrating velocity we will get…

Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P (1,0, P(1,0,¹). mine the following: (a)…

A: Given problem:-   consider h(x,y,z)=cos(xy)+eyz+ln(xz) at point P(1,0,1/2)  Determine:- (a) the unit…

Q: Derivative of Y=tanxcosx

A: Given problem:- Derivative of Y=tanxcosx

Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

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Q: ) R.J&M Company manufactures furniture such as sofas and tables. In their current inventory, a total…

A: We have to find the number of sofas and tables.

Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: Use interval notation to write the solution set of the following inequality. x²-3x>0 What is the…

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Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

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Q: y = COS X 1+sin x

A: ddxcosx1+sinx

Q: evalutate the integral from 0 to pi/6 sin^3(x)/cos(x) dx

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Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

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Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

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Q: If a circle has a radius (r) with an indicated arc length of 34ℼ, and two central angles of aℼ/15…

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Q: Find the equations of any vertical asymptotes for the function below. 2 +² - 3x - 10 f(x) 2 x-5x-14…

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Q: C-the derivative is y=0³ e 28 cos 50 e 20 (3cos 50-20 cos 50-50 sin20) it's 02e-20 (3cos 50-20 cos…

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Q: Solve the differential equation: dy y+ = dx

A: Given query is to find the solution of the differential equation.

Q: mal ty "THE Y PRIME" Determine the derivative of the given functions. 1. Consider the quadratic…

A: Since you have posted multiple questions i can do first question but you mention P4 so i do question…

Q: Evaluate f sin √r dr

A: Topic = Integration

Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

Q: The table to the right shows the marriage and divorce rates per 1,000 population for selected years…

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Q: The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º…

A: We want to select the correct option.

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.

Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

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Q: Evaluate the definite integral 312 3 Só 4x² (2x²³ + 3) ³¹/² dxc

A: Given :∫014x22x3+332dx

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: D-the derivative is y = In Othe O is the (VW) 1 + Vē 1 0(√) 1 (1+√ē) O it O is 1 20(1+√ē) 1 0(1+√0)

A: Differentiation

Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

A:

Q: Q1. Let r(t) = i + 3tj + t²k be the position of a particle in space at time t. Find the following:…

A: We have to find the velocity , acceleration vector and time at speed = 5.

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Here we will calculate the linear regression  model,

Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = 10 1-x…

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Q: B- The derivative is y = In (sec (In 8)) In 0 sec 0 O it is it's In 0 cos 0 an another answer tan…

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Q: Use interval notation to write the solution set of the inequality. 2 x² + 3x-28≤0 The solution set…

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Q: Let the demand function for a product be given by the function D(q)=−1.15q+200D(q)=-1.15q+200, where…

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Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: Find the indefinite integral. S(e¹ i + j + costk) dt O e¹i + tj - sint k O e¹i - sint k O e¹i + tj +…

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Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: ***** EX Estimate the value of 1.1.5 by binamial series. Sol: √1.5 = (1+0.5.) ² X=0.1.5 m = 0.15...…

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Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: A- for the function below, the domain and the range is respectively y = |x|-2

A: We know that the domain of a function is the set of input or argument values for which the function…

Q: Make the u-substitution u = 7√x, and then use the Endpaper Integral Table to evaluate the integral.…

A: ∫1x49x+64dx

Q: The result of the following sin 1² t limit is lim 1-0

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Q: || y = = x²-1 x²+x-2

A: Given