Find a 3 x 3 matrix A such that A A A A = 1 4 0 = 2 0 -1 B-B EL. 0 2 1 = -3 and 0 -5 0 -5 B-B 0 -5 1 -4 ||

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: 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: [CLO-3] The second derivative f"(x) of a function is given. Use this information and concave…

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

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

Q: The following figure the position vs time curve for a certain particle moving along a straight line.…

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Q: x = 2t² and y = t³ - 3t has a point where there are two tangents. Identify that point.

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

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Q: 5s +4 83 None of the Choices. Option 1 5t + 2t³ 5t - 2t³ Option 2 Option 3 Option 4 2t + 5t³ 2t -…

A: Let's find inverse laplace of given  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: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Solve the differential equation y""+y" = 3x² + sin x − 2 cos x

A: We use techniques of higher order differential equations to solve the given differential equation.

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

A: r is obtained.

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

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

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Q: Find all the relative extreme values in the domain of y = tan(x)

A: Find all the relative extreme values in the domain of y = tan(x)

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Given R(t) = 4 costi + (1+3cost)j +5sintk. Find || R'(t)||. 5 O 4 O 2 O none of the above

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Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

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Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: c) y sin 53x =

A: Given :y=sin53x

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

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Q: 1 Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4 -…

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Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

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

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Q: Find all critical points of the function f(x) = 2x² 7x²2-2x+4* (Use symbolic notation and fractions…

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

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Q: The doubling time of an investment with continuous compound interest is 12.5 years. If the…

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Q: Let f(x) = 5x² - 2²/2 + 8√√x-²3 (a) Find f'(x) (b) Find an equation for the tangent line to the…

A: As we know that; The equation of the tangent line is: y-y0=mx-x0 Where m is the slope of the tangent…

Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x&gt;-1}

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

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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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: A patient is administered a dose of 50 mg of a drug. If she is hooked to an IV that injects an…

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Q: 4η-3 (3) Σ=c 2=0 2η5

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Q: b. The area above the x-axis and below y = 4x - x²

A: Answer (b)  We have to write the area above the x - axis and below y = 4x - x2 as an integral

Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

A: Let's solve given integration by using simpson 1/3 method.

Q: Given z = Find z.. wwwwwww Z₂ = -x² Option 1 Option 3 Zx = -x-2 2x = x-² Option 2 none of the above

A: The objective of the question is evaluate the partial derivative of the given function "z" with…

Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

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Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

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