Q: 8. Use the Gaussian elimination method to solve for all the variables in the following set of…
A: Solving the problem by finding the value of x,y and z.
Q: If f(x) = x² - 4, which of the equations below describes the average value of f(x) over the interval…
A: Let fx be a function, the average value of fx over an interval a,b can be calculated using the…
Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?
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Q: Find f'(0) if f(x) = a; a, b, c, d constant bc-ad O d² ad-bc (c+d)² ad-bc d² ad+bc d²
A:
Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…
A: A line passes throughvthe points P(4,-3) and Q(6,2). Write the following equations of line. A) a…
Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…
A: Here we have to find the integral.
Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.
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Q: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…
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Q: Evaluate the integral. (Use C for the constant of integration.) X + 17 J dx x² + 16x + 68
A:
Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4
A:
Q: hi there, are those letters "n" or "x" it is a little difficult to read?
A: Given that, tanx=sinxcosx to prove that ddxtanx=sec2x
Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…
A:
Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…
A: This question can be solved using the concept of area bounded by two curves.
Q: = 14. Find the point(s) of the tangent to the curve h(x): as 48x + 2y = 11 *Round answers to 1…
A: The given curve is h(x)= x4/4-x3/3-5x2-8x+3 whose slope is same as 48x+2y=11
Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6, (3, 1)
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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx
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Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…
A: We have to find graph and area of it.
Q: Q5A) Find volume of body from above Z=√4-x² - y² and below Z Triple integration. 1 using
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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…
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Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find
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Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…
A:
Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the
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Q: ind area bounded by y = 0, y =√x-x² using double integration.
A: We have to find area of given region.
Q: sin20 B)Evaluate the integrals: i) f/20 rdrde ii) f/2/2fix z² siny dz dy dx. sinx tt)
A:
Q: 2 2. √(√x-3) dx
A: As per guidelines we can answer only one question at a time so if you need more answers kindly…
Q: Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If…
A: Solution is given below:
Q: Find each function value and limit. Use - ∞o or ∞o where appropriate. 7x+2 f(x) = 2x-2 (A) f(10) (B)…
A: Solve the following
Q: ) identify the technique of integration most appropriate b.) Find the average value
A: Here we have to use the concept of integration
Q: Given : y = cot √2x + 1 Find dy dx O csc² √2x + 1 √2x+1 O csc² √2x + 1 2√2x+1
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Q: B)Is w Zez analytical function or not? =
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Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…
A: The given function f(x)=ex on the interval 0, ln 9
Q: Evaluate the integral. 5 0 √ x² + 25 dx
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Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…
A: Given curves is y2=x
Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O22+22i O22+241 O 22-24i
A: Given that a = 2 + 7i and b = 4 - 2i. We have to find a*b. Clearly as a = 2 + 7i and b = 4 - 2i so…
Q: Give the domain and the range of the function whose graph is shown to the right. When arrows are…
A: Graph of the function is given, we have to find its domain and range
Q: Ⓒa Given f(x) = 4- ; x ≤ 1 ; x > 1 Find k if Skf(x) dx = -1.
A: Since the student has posted multiple questions and has mentioned to solve question number 1 and 4.…
Q: PLEASE RECHECK THIS ANSWER AND ANSWER IN 2 DECIMAL PLACES. UPVOTE WILL BE GIVEN
A: the given solution is correct.
Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…
A:
Q: A conical vessel 12m across the top and 15m deep. If it contains water to a depth of 10m, find the…
A: Concept: Similar triangles are those which are of the same shape but need not be of the same size…
Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using
A: To find the volume of body bounded by given curves.
Q: 6 = √² (6x - x²) dx = We now have Area = 16
A:
Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…
A: The given polar curve, r=sinθ+3cosθ, θ=π2
Q: B)Convert r = √2 cos (0-) to cartesian.
A: we need to convert polar coordinate into cartesian.
Q: dy Solve the differential equation dx x6 +4y X
A:
Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2
A: The region bounded by the curves, y=2 sin(x), y=ex, x=0, x=π2
Q: lim x²+3x sin x x-0 0 3 01 O does not exist 0 0
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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…
A:
Q: For which of the series below the Integral Test can be used to determine whether the series is…
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Q: B)Convert r = √2 cos(8-) to cartesian.
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Q: B)Prove (cose + i sine)" = cosn0+ i sin no
A: See the details solution in below
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