If A = 4x³ and (a) TRUE (b) FALSE dt dx 2, then dA dt = 150.

Q: (CLO-1] The graphs of functions f and g are given below. अ y = f (x) 4 1 -2-4 -2 -3 4 Evaluate the…

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Q: 19. Find potential function for = (3xy, æ³)

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Q: Evaluate the integral. /² sin³ 0 cos²0 de Enter your answer in exact form. If the answer is a…

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Q: 2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: Given: The surface is 2z-x2=0 and the point is P02, 0, 2

Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

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Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Given the rectangular coordinates (-6,2) determine (r,θ). What is r=______. (round to 1 decimal)

A: r is obtained.

Q: Given z x-y * Find Zyy xy.

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Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Flag question Find all the possible x-values of f(x) = √√x - 10

A: In this question, we need to find the possible x-values of the given function.

Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

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Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Given problem :- Find the value of the following implicit derivative   tan(y)-sec(x) = 5 find   y'

Q: 6.) Find f/g and its domain. 3 f(x) = = - — 9(x) = x+1 X 2 χ

A: Domain - Set of values of x for which functions is defined.

Q: You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

A: Silly mistake in calculation, we provide correct calculations

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Given that a function f( x , y ) =2x2-4x+y2-4y+6  on the closed triangular plate bounded by the…

Q: Find the volume V(S) of the solid S generated by revolving about the x-axis the region R bounded by…

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Q: Test the convergence of the following: n 3n+1 1- an 3n-1

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Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: {CLO-2} Evaluate lim f(x) where (4x-1 if x3 O does not exist O 11 O 12 O 13

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Q: 3s - 8 4s² +25 3 COS (²) - 2 sin (²) Option 1 O None of the Choices 3 25 sin Option 5 8 COS sin…

A: This is a problem related to inverse laplace transform. Based on the general formula and concept we…

Q: 3. Compute f(x)dx 2x f(x) = { 4 if x < 1 if x 21

A: Evaluating the definite integral by splitting the integral at x=1

Q: √√53-25² +5 ds

A: Given

Q: -5e-cos2t O Option 4 5e-t sin 2t O Option 2 5e¹ cos2t O Option 3 5e sin 2t O Option 1

A: Topic:- application of derivatives and integration

Q: Find the minimum and maximum values of the function y = 2x² - 12x + 1 on the interval [0, 7] by…

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Q: f) y = sin-¹ (x² - 1)

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Q: etermine the derivative of f(x) = a. f'(x) = -x_ 7 cos x − tan² x− 1 (secx+7)² b. ƒ'(x) = − µ* _ 7…

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Q: y=x²

A: In this question we have to solve the question as per question asked.

Q: 2. Find the general solution o- = y(1+e³) 1 له 342433434 11 11 1 "싫

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Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Evaluate the triple integral a dV where E is the solid bounded by the paraboloid a = 10y² + 102² and…

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Q: Σ (-1)" n=0 2n TT (2n)!

A: Given: The series is  ∑n=0∞ (-1)n π2n(2n)!

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: r sin ³0 cos³ 8 do 3

A: Topic:- application of integration and trigonometry

Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: c) 1/2 1 1-x² dx

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Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 62² and…

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Q: Find the interval of convergence of the series xn Σ n8" n=1

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Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: Evaluate the following integrals: O •(Cartesian to Polar) Civen the cartesian coordinate find FOUR…

A: Follow the procedure given below.

Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

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Q: . In each part, find polar coordinates satisfying the state conditions for the point whose…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: solution:-y=x2-2y=-x2+2let two value of x is -t &amp; t , because the graph is symmetrical about…

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Find the difference quotient x) = 2x² + 3x 2 - f(a+h)-f(a) h where h 0 of

A: Given query is to find the difference quotient.

Q: his question is designed to be answered without a calculator. se the three functions shown. 1. f(x)…

A: Topic:- function

Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.