nd the area of the plane region bounded by y=sin x, y=ex, x T 2 T D 2-2 s.u. D 2 S.U. 2+1 s.u. T 2-1 s.u. P e e e

Q: Calculate the derivative of f(x) = sinh (x²). (Use symbolic notation and fractions where needed.)…

A: Using chain rule of differentiation.

Q: Explain how you would graph the following set of parametric equations by plotting points and…

A:

Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: Five years ago you opened a savings account with annual compound interest by depositing $1,200. You…

A:

Q: f) Use L'Hopital's rule to evaluate: sin x lim X-0 X

A:

Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

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

A: r is obtained.

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: 1. Determine y(t) if y(0)-0. dy +5 selt- ydt + 2y = 10 What is the value of y(t) in question #1 if…

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Q: 4- у ду dx 2 ху +x = 0

A:

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

A: As we know the Power law; ddxxn=nxn-1 Given: A=4x3 and dtdx=2

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A: topic- derivatives

Q: 2t³ = A particle moves along a straight line and its position at time t is given by s(t) s is…

A:

Q: Find the slope of the curve whose parametric equation is given by y = t³ + t²+ 1/t and x = t⁴ + 3t²…

A:

Q: to find the aren ruse 2) Use a polar integral enclosed by the three-petaled r = singe

A:

Q: 7) If z(x,y) = x² + y², x=u+v, and y=u-v, find dz du

A:

Q: 4. Find f'(x) if f(x)= In (2x) + cos (6x)

A:

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: √√53-25² +5 ds

A: Given

Q: Evaluate lim f(x), f(x) = (3x² + 5x − 1, (7x² - 2x - 3, x ≤ 2 x > 2

A: Topic:-  limit and continuity

Q: Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x…

A: Given query is to find indicated composite function.

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: X₁ = (-1, -2) & (3, 1) Y₁ = ; X2 = m m Final answer: Trend: || Y2 =

A: Slope of a line is = y2-y1x2-x1If the slope is positive then the trend is that as x increases y…

Q: A. Find the general equation of the conic with the given properties. 1. A parabola with directrix…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

A:

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

A:

Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

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Q: Determine y(4) for y=ax³ +bx+c where a,band care constant. (a) 6a

A:

Q: 2 3s +9 Option 3 23 -e³t e-3t Option 4 None of the choices Option 2 Option 1 2 -3t 3 3 N|W 2 co

A: As we know the inverse Laplace transform identity; L-11s-a=eat   Given: Fs=23s+9

Q: A horse tied to a post with twenty foot loop. What is the longest path that the horse can walk? a.…

A: Here we have to find the circumference of a circle.

Q: Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f…

A: The given function is f(x)=9/x and a=-3.

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

A:

Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: Find the mass of the rectangular prism 0≤x≤2, 0≤ y ≤2, 0≤z <3, with density function p(x, y, z) = =…

A: Mass = Density * Volume

Q: x-1 x-1+√√2x-x²-1 Evaluate lim

A: Please refer to the image below

Q: SUBJECT: DIFFERENTIAL CALCULUS FIND THE FIRST DERIVATIVE OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR…

A: We have to find the first derivatives of the given function.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

A:

Q: 4. Calculate the average value of each function over the given interval. Hint: use the identity sec²…

A: Average is evaluated.

Q: 9.) Find all horizontal and vertical asymptotes of f(x) = 4x 5 - x² - 9

A: The given function is f(x)=4x-5x2-9 First we factorize the numerator and the denominator.…

Q: This question is designed to be answered without a calculator. A farm has a rectangular pigpen that…

A: Given that, a farm has a rectangular pigpen that is 10 meters by 20 meters. One of the 10-meter…

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² + 1 a. (4,1) b. (1,1)

A: To find the linearization Lx, y of the given function at each point.fx, y=x2+y2+1 a 4, 1b 1, 1

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: nd the derivative of the function at Po in the direction of A. f(x,y,z) = 5 ex cos (yz), Po(0,0,0),…

A: Given query is to find direction derivative at given point.

Q: SUBJECT: DIFFERENTIAL CALCULUS FIND THE FIRST DERIVATIVE OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR…

A:

Q: 11.) Solve using matrices and Gaussian elimination: x+y+z= 9 -x-3y + 2z = 10 2x + z = 9

A: Please see the below picture for detailed solution.

Q: Get the second and third derivative of function: y'= 3x^2y^2

A:

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)

A:

Q: Find Vf at the given point. f(x,y,z) = x² + y² − 4z² + z lnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Given the function,   fx,y,z=x2+y2-4z2+z lnx