26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, 3]. %3D

Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

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Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

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Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

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Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: 4. y = 2xi+x“

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Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: 5. S(5 -5°dx

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Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per it...

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Q: ) Find | sin can) cas (ga)da cos (gx) dx

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 489x хе dx ...

A: ∫xe489x dxBy using integration by partsu=x, v=e489x

Q: A population P obeys the logistic model. It satisfies the equation dP 7 P(5 – P) for P > 0. 500 dt (...

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Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: B Graph the follo wing y, = 2sec2x %3D Yz = 1-25in (x+ ) Y3=2 cotx

A: We know, sin(x+π/2)= cosx Given functions, y1 = 2sec2x y2= 1-2sin(x+π/2) y3= 2cotx

Q: ly Find tue indefinive intgrel by making ful frebstitution x = 4sin O. de (16-x²) %

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Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

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Q: Use logarithmic differentiation to find the derivative of the function. V9 + 7x² y = 3 x2 + 1

A: Given query is to find the derivative of the expression.

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: Perform the operation and wrtte the result In standard form. (1-7)'

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Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

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Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 3. x = c, cos wt + c2 sin wt ,w is a para...

A: topic - differential equations

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is (2y/x)+Iny=c (2x/y)+3ln...

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: Find the equation of the line tangent to an inverse function Question -3x - 3 Find the equation of t...

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: For each problem, use implicit differentiation d in terms of x and y. dx 1. 2x3 2y2 + 5 2. 3x2 + 3y2...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

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Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of ...

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Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and ...

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Q: IV. Exercises: Find y', y", y'", and y"" for the following expressions: 1. y = x* 2. y = 2x2 + 3x - ...

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Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

A: Given

Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A: Given query is to find the weight at given height.

Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

Q: Give some examples of limits in real life situation (preferably in a persons life)

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Q: у 3 cos (4x — 19)

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Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .