Given Sf(x) dx = 0 and √ ² f(x) dx = 11 6 " 1 0 •√3f(x) dx - √₁2f(x) dx. evaluate

Q: Q1/ From the following table of values, find the approximate value of f '(1.5)? X 1.0 1.5 2.0 3.0…

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Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

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Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: We have to find out the coordinates

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A: Topic = Geometry

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A: Given

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Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: Consider the vector field. F(x, y, z) = (9ex sin(y), 2e sin(z), 4e² sin(x)) (a) Find the curl of the…

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Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

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

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A: Given problem:- A manufacturer is planning to sell a total of 300 machines to both foreign and…

Q: y = x^Arctan *(x4)

A: We have to solve derivative

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Q: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

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Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

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Q: d & fle²- · *[e' – In(2t+1)]dt, find g''(x) . dx -2 If g(x) = - A B c) e*- D 4 et + (2x + 1)² e* -…

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Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

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Q: 0 ✓1+13xdx

A: Given that ∫021+13x3dxSolution:let 1+13x=t313dx=3t2dtdx=3t213dtat x=0,t=1at…

Q: Question 25 : A street light is at the top of a 19 ft tall pole. A woman 5.5 ft tall walks away from…

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Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: To find the volume. Option B is correct.

Q: d S[e-In(2t+1)]dr. find g(x) - dx A e-In(2x+1) 2 B (2x + 1)² (2x + 1)² (2x+1)² If g(x) = D

A: We have to find out the derivative

Q: If 8(x) = [e²-m (21+ - dx S[e²-In (21+1) ]dt, find g(x). -2 A e-In(2x+1) 4 B (2x + 1)² 2 Ⓒ (2x + 1)²…

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Q: f(x): = Opción 1 5x² - 8x + 15 3x² + 6x 12 y Opción 3 || సా || I 5/3 3 5 Opción 2 Y Y Opción 4 ||…

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Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

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Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: Hint: Use polar ca

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Q: Please write out/show work, thank you! Find the slope of the line tangent to 2xy + π sin y = 2π…

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Q: Evaluate the double integral: 2 √² √ (3x² +9y²) dxdy A 40 B 30 C 60 D 80

A: Double Integration by iteration:

Q: Determine the integral: x²cosxdx (A) x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx+2sinx + C…

A: topic- indefinite integral

Q: If f(x) = A B (C) tanx S 0 sec ³x 1+e tanx 1+tan²x 1+ e tanx 1+12 sec²x 1+e tanx In (coor) 1+ e'…

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x) = x + 1. A unit² 3 B -unit² ©…

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Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: 6) (-2√√2, 2√2) 8) (2 3 3√3 2' 2 10) (-2,-2√3)

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Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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Q: dx 15 √(x+2)(x-1)²² -S[ +42 + (A) 93 B (C) (D) 12 93 —— . 2 3 2 3 B x-1 + (x −1)² ]dts dx, the…

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Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

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