If you evaluate the integral expression S 4x +3|dx the result is Blank 1 (use fraction or decimal in 2 decimal places, no spaces)

Q: Derive the following function 1 1. v = x²√x + √²²³√x 2. g(r) = (r²2r)er

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Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: 01: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: Find the absolute extrema of f on the given interval. (find the absolute maximum value and absolute…

A: We know that, Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f…

Q: 4. f²₁(x² x)dx 5. (4- x²) dx

A: topic- definite integral

Q: Use Figure 1 to evaluate each trigonometric function of angle AA. The side adjacent to angle AA has…

A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

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Q: Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x 3 - the following limits. Enter "DNE" if…

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Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: 10. f3, (x²-1) dx

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Q: Q2: A. Determine if p = 1-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: Given cost and price (demand) functions C(q) = 100q+42,600 and p(q) = -1.8q + 860, what is the…

A: Cost function C(q) = 100q + 42,600 Demand functions p(q) = -1.8q + 860  Marginal revenue is the…

Q: d the area of the surface obtained by rotating the line y = 19x + 6 about the x-axis from point…

A: Topic:- application of integration

Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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Q: The current population of a small town is 3947 people. It is believed that town's population is…

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Q: Derive the following function 8. y = tanh-1(sinx)

A: We have to find  the derivative

Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: t, 15. y' + 3y = { ₁ 0, 0≤1≤2, t> 2 y (0) = 0

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Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

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Q: 1-x²dx 9-x²

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Q: Find the intercepts and the vertical asymptote of   f(x)=x2−6x−7/ x−8   Enter the intercepts as…

A: Topic:-  calculus

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: B. Graph each equation. 1. 2y² + x + 8y - 4 = 0 2. x² + y² + 6x + 8y = -9

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 4), and (2, 0).…

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Q: B. Find the general solution of the following 2nd order differential equation: y+2y+2y=0

A: Solution is done in step 2

Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) = - g(x) 101 8- 2 0 -2 2 (a) Find p'(9). p'(9) =…

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Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

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Q: TICILNIC B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Topic:- differential equations

Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: The current population of a certain bacteria is 2849 organisms. It is believed that bacteria's…

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Q: 1. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

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Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: Problem 7 Ső S xvx² + 1 dx

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Q: 2. Let S be the part of the cone z = √² + y² that lies between z = 1 and z = 3 with upward pointing…

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Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

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Q: 9.f tan3³ x √sec x dx

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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