Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

Q: Let f: [1,1]→ R be a function given by f(x)=2x-x2. Then the inverse image (preimage) of [0,4] under…

A: The answer is option D

Q: Find dx dx 0.4 0.4 -3.3x4 + 5x -3.3x-4+5x

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Q: To evaluate the integral /VF² we use Select one: x² +9dx Substitution with x = 2 tan 0, where -T 7…

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Q: en f(x) = (4x + 1)² ' g the chain rule? what is the first step to find f'(x) Find the derivative of…

A: We have to find out derivative using chain rule

Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

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Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: Given that lim f(x) = -7 and lim g(x) = 6, find the following limit. X-3 X-3 lim X-3 2-f(x) x+ g(x)…

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Q: ra a²-y² L". Sve²=v² a²-x²-y² . (x²z+y²z + z³) dzdxdy a²-x²-y²

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x − 3 _ y + 1 4 2…

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

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Q: 1 S dx 1/2x² √√x² +4

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Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x&gt;Infity Lim f(x) = 2 or…

Q: 3. (ey + 1) cosx dx + eysinx dy = 0 [Answer: (ey + 1) sinx = c]

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1 √√1/₂ 1/² y+4 y² + y fip C

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: Find each indicated quantity if it exists. Let f(x) = |x-18] . Complete parts (A) through (D). x-18…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: Given the matrices A = - -4 0 4 [ 5 B. If my not possible possible -2 -2 - and B -2 0 189 0 3 3 2 A.…

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Q: Let g(t) = cos (nt). Compute the average value of g(t) over the interval IN

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Q: An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y'…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Which value is the average rate of change for f(x) = √x + 1 o the interval (0,3)? 13 0 -1 -3 3

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Q: Wendy took a trip from one city to another, a distance of 480 mi. She traveled part of the way by…

A: We have to find how long did Wendy spend on the train.

Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = = sin(x) f(x) = to dt

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Q: 8. The graph of the equation |2z - i| = 4 is most likely: A. C. B. 36 E. none of the above D. iy

A: Compare with the general equation of circle in complex form

Q: 2) Find the indefinite integral by using the method of partial fractions: 3x+5 x²-9x+18 S- -dx

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Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.

Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

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Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 24³ 25 By the + + + Limit…

A: here, we will use comparison test to check the convergence .

Q: Express the given quantity in terms of the indicated variable. The average of four quiz scores if…

A: In this question, we will express the given quantity in terms of the indicated variable.

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

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Q: 3( Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: π sin" g 2. So cos² g dg

A: The given integral is;  Sin5g/Cos2g, limit from 0 to pi.

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: If we use the trigonometric substitution sec(x) 5 then we get t = √25t² - 1=tan(x) Select one: O…

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Q: Find lim lim h-0 h-0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +7. (Simplify your answer.)

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Q: ich of the following statements is FALSE? The tangent line and the normal line to a curve at a given…

A: The normal line is defined as the line that is perpendicular to the tangent line at the point of…

Q: The area A = 2 of a circular oil spill changes with the radius. At what rate does the area change…

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: How did you found x and dx? I 'm lost in that part

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Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: We have to find the the value of g'(0).