Q5) Find volume of body bounded by z² + y² + x² = 9.

Q: Use the limit definition to compute the derivative of the function f(t) = , at t = -4. (Use symbolic…

A: This question can be solved using the concept of limit definition of derivative and equation of…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x2 + 16

A: We will use simple Integration rules to solve this question.

Q: From Rogawski ET 2e section 10.3, exercise 3. Use the Integral Test to determine whether the…

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Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

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Q: Consider the following function and dosed interval. fx) = x2/3 - 1, [-27, 27] Is f continuous on the…

A: F(x) is not differentiable on (-27, 27)

Q: Q3) Evaluate triple integral f, L(x - y?)dz dy dx.

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Q: nsider Evaluate дхду

A: Given,             z=ex3+y2To find : Evaluate ∂2z∂x∂y

Q: The concentration of a drug t hours after being injected is given by C(t)=0.8t / t^2+68. Find the…

A: This question can be solved using the concept of maxima and minima.

Q: 2. Sketch the plane curve by plotting points then indicate the orientation of the curve. x = t2 – 4…

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Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (* + 0) in…

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Q: r= sin E-0) in first quarter.

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Q: SVx+3(x+ 1)dx r64 dt ap 2 +-2^)

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Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: Consider the parametric curve defined by x=3+5t and y=1+31 Over which values of , does the curve has…

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Q: Q3) Evaluate triple integral S(x2 -y?)dz dx dy.

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Q: 22 – 9x? = 1 4.

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Q: In 4x 5. S dx

A: The integration of the integral is ln(4x)/x.

Q: 4 5x2 Evaluate dx. TV3x2-1

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Q: Suppose A = (a, 0, 2) and B= (6, –2, b), for some a > 0 and b> 0. (a) If projĄB = 12 24 =,0,), find…

A: Suppose A=a, 0, 2 and B=6, -2, b, for some a>0 and b>0.If projAB=125, 0, 245, then to find the…

Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

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Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

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Q: Q2) Convert the polar function r tan20 to cartesian.

A: We have to convert polar equation into Cartesian equation

Q: (a) P, : 6x – 3y – 7z – 2 = 0 P2: - 36x + 18y + 42z – 5 = (0 O Parallel O Perpendicular O Neither…

A: topic - vectors

Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x & x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: Evaluate the following integral using Trigonometric Substitutions Method: п 2. y = 1- x dx

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Q: Evaluate triple integral f, SE Lx? - y?)dz dy dx.

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Q: Find an equation of the plane through (4, 1, –4) that is perpendicular to the line x – 2 = 5t, y+3 =…

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Q: inside polar functionr = 2 and outside p in third auartor

A: We have to find the area according to the given information

Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is Round your answers to…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = cos 7EX, = COS 0, minimum…

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Q: x g"(x) sin(x- 1) X-1 x 3 8. 2 -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has…

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Q: g(x) - tan(x)

A: The functions given are fx=x,gx=tanx. Formula used: Newton's Formula xn+1=xn-fxnf'xn

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of ¡ does the curve has…

A: The given parametric equation is x=3+5t, y=1+3t The curve length is 34 Let the value of t is t1 to…

Q: -бх + 9 3. V6x – x² хр

A: We have to find the given integral.

Q: Matrix Operations [2 1 3 3 If A = and B = find: 0 1 2 2 -1 6. ЗА - 2В 8. -5 (A + 2B) 7. А+2(В — A)

A: The given matrices,   A=2-13012 and B=-13-12-11

Q: Q3) Evaluate triple integral , dz dy dx.

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Q: Question A 5-foot ladder is leaning against a wall. If we push the ladder toward the wall at a rate…

A: let x be the distance of bottom of ladder from the wall andy be the distance between top of the…

Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: 4.

A: Topic = Integration As per guidelines , At  a time only one question can be answered out of…

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of , does the curve has…

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: Is Rolle's theorem valid for the function f(x) = V1- a. Yes. It is valid in this range b. No. It is…

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Q: Q3) Evaluate triple integral y(x2-y?)dz dx dy.

A: