Find critical points of the function e(2 -3x) O x = 0, x = 1 O x = 1, x = 3 O x = 0, x = 2 O this function does not have any critical points

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

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A: We need to draw vector field.

Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: V 192 °

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Q: (x)dx = (Type an integer or a simplified fraction.) a

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Q: Q/ For the function shown bellow; find dyldx using Chain rule 4 2x + 4)ª ||

A: The function is given by y = 2x+44 To evaluate: The derivative of the function using Chain Rule of…

Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

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Q: Consider the function f(x) = x* + 2x'. (a) Find the x- and y-intercepts of the graph of f (if any).…

A: Use derivative for finding the extreme point.

Q: S16 sin?x cos?x dx .2.

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Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

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Q: 1 3 20. Find the associated P-vector. A. C. D. E. None B. ON

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Q: Given the equation dx + xydy y? dx + ydy. Solve for the solution when x = 3 and y = 0 1. ( ) dx ) dy…

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Q: S1 | 16 sin?x cos?x dx х cos

A: ∫ 16sin2xcos2xdx

Q: | In (x + x²) dx

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Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

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

Q: Vy 1 5:A- Solve the differential equations 2xy+

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Q: S(x² – 1) Vx + 4 dx 4.

A: 4.∫x2-1x+4dx

Q: Use the Chain Rule to find dz/dt. z = sqrt 3+ x^2+y^2, x= 3 ln t, y= cos t

A: Use chain rule to differentiate z

Q: A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point.…

A: Given: x=5 km θ=π5 raddθdt=0.3 rad/min The person and the hot air balloon form a right triangle,…

Q: For the points P1 (4,8,7) and P2(5,7,6), find the direction of P,P2 and the midpoint of line segment…

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Q: The integral of the given function sin³x cos x dx is equal to a. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

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Q: for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у…

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Q: In x Find lim x o x2 Find lim x In x.

A: 2.

Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

Q: Obtain the general solution unless otherwise instructed 2. у" — у' — х — 0 SUMMARY OF ANSWERS 2. Yc…

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Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: We have to find out the domain and asymptote

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Q: 4. A car maker finds that at a sticker price of $25,000 it can sell 3,600 cars a week in a…

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Q: | cos 3x cos 4x dx :

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Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: What are the intervals on which the graph 4 .3 of the function f(x) = x* - 2x +1 is concave…

A: Given query is to find the the interval where graph concave downward.

Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder…

A: Given problem:- A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of…

Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: The following series is an alternating serie

A: Since we are given with the multiple number of question and answered according to the guideline

Q: The integral of the given function f dx is equal to a. 0.116 b. 0.611 с. О.117 d. 0.161 e. None of…

A: Here we have to find the definite integral.

Q: Choose the quadrant in which the terminal side of this standard position angle is located: 105.7°…

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Q: Find the slope of the tangent line to the curve la? + 4xy – ly = 11 at the point (2, 1).

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: f(x)=(5+x4)1/4 what is f2(x)

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

Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

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Q: Q: Solve the following D.Eqs. (Use undetermined coefficient method) 1) y" – 2y' + y = xe* 2) y(4) –…

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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