Create a problem of physical  phenomena that can be solved as differential equation using Euler method

Q: A person's Body Mass Index (BMI) is I = where W is body weight and His body height. A person has a…

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Q: The graphs of the function and its derivative are shown above for -1≤x≤4 . (a)      Find the…

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: 4. Use the graph of f given below to evaluate the following limits, if they exist: 4 3 -4 -3 -2 -1 2…

A: The graph of the function is given

Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan…

A: In this question, we will find the solution of the system of equation.

Q: Find all the roots of the following function.   f(x) = (x2 + 5)(2x4-10x2 + 8)

A: Find all the roots of the following function.  f(x) = (x2 + 5)(2x4-10x2 + 8)

Q: A projectile is fired with an initial speed of 550 m/sec at an angle of elevation of 60°. Answer…

A: We have the following dataTo determine: (c). How high overhead will the projectile be when it is 5km…

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

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Q: 1 Evaluate Σ(3x - 2)² a): 136 b) 335 c) 432 d) 353

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the numbers at which f is discontinuous and determine whether f is continuous from the right,…

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Q: 1 I 4 x 4 x 4 49. lim-

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Q: Tutorial Exercise Find the average rate of change of the function over the given interval. Compare…

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Q: The displacement of a mass on a spring is given by s= sint where t is in seconds. 2 Find the average…

A: The displacement of a mass on a spring is given by,

Q: Evaluate f/4 cos³0 (sin 0) ³/² de. −1 (a) 4√2 8 (b) 5 45 (c) (d) (e) 13 90/2 5√2 12 23 90 2

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Q: Find the slope of the tangent line to the graph at the given point. x³ + y³ - 6xy = 0, (4/3, 8/3)…

A: To find the slope of the tangent line to the graph of the curve at the given point.

Q: A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: 7. Practice with continuity. a. b. Locate the discontinuities of the function. 9 7+e5/a X = Y Use…

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Q: 3. Differentiate with respect to the corresponding independent variable for each of the following…

A: The given function is "As per the rules, we are supposed to answer the first question, and rest of…

Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 63…

A: Explaination of the answer is as follows

Q: Find a formula for the derivative of the function g(x) = 8x² 16 using difference quotie g(x)=lim [(…

A: The given function is  The formula of derivative

Q: Let h be the function given below. On which of the following intervals is h continuous? You may not…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: Compute the inverse F(s) = ✓ 5²+45+40 Laplace transform

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 4 ln(x)…

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Q: 3. Check your understanding - Compute the following derivatives using the basic differentiation…

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Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-3) (x - 1)(x + 3)' x > 3 y = Step 1 The…

A: The given function is

Q: che object. (a) At t = 0 seconds, s = 158 feet. At t = 1 second, s = 95 feet. At t = 2 seconds, s =…

A: Since we are given with multiple number of questions and our guideline is solve first question only

Q: 5. Determine the area that lies inside r-3+2sine and outside r-2.

A: given curves are

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. tan (3x + y)…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Find dy/dx at the given point for the equation. x = y³ - Sy² + 3, (-4,1) = Need Help? Submit Answer…

A: Given,x = y³ - 8y² + 3 and point (-4, 1)

Q: 4. Find the values of c and d that make the function h continuous for all real numbers. [2x, x2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the equation of the sphere of radius 7 centered at (1, 2, 6). This sphere is given by:

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Q: Suppose y = 8(x - 2) + 27 is the tangent line to f(x) at x = 2. Find the exact value of each of the…

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Q: Let f (x) = √45 - x. Compute f'(9) using the limit definition ƒ'(9) = Find an equation of the…

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Q: 2. At time t = 0, a tank contains Qo lbs of salt dissolved in 50 gallons of water. Water is 1…

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Q: Question 2 The graph below is the function f(x) -5 -4 -3 lim I-4- 9 4 3 2 1 lim I→−4+ d -3 -4 Find…

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Q: TT 2. The region is bounded by y = sin x and y = cos x between x = and x = 9πt 4

A: Question no. (2):Given:The region is bounded by To Find:(a) To draw the region.(b) To set up an…

Q: Find the area of the region under the graph of the function f on the interval [0, 6]. f(x) = 6x - x²…

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

A: The graph g consists of two straight lines and a semicircle.

Q: Consider the following. x² + y² = 81 (a) Find two explicit functions by solving the equation for y…

A: Find the two explicit function sloveing equationx2y2=81

Q: Use the table of Laplace transforms to find the inverse Laplace transform of 3s + 2 (s − 2)(s² + 2s…

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Q: A particle is moving along a straight path with the position (in centimeters from a fixed point)…

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Q: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate 8…

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Q: A piecewise function g(z) is defined below. I < 2 cr²-dz-8 2 << 4 8x-c+d 4<H Find the values of c…

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Q: 1 Consider the functions f(x) = 5x +3 and g(x)=(x-3). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: Solve the initial value problem for r as a vector function of t. d²r dt² Differential equation: = -…

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Q: Prove that if A is a square matrix, then B = (A + AT) is a symmetric matrix. Here AT denotes the…

A: The given matrix  is symmetric matrix and .The aim is to prove the matrix  is symmetric matrix.

Q: f(x) = lim x-1 = (₂² || lim x + X→-1 [ - (-+-([ = -1 3( D₁ lim x-1 4 ]))* 4 [-1) = by the definition…

A: Application of limits in calculus.

Q: Find an equation of the line where the planes Q and R intersect. Q: - 2x + 3y + 4z = 1; R: x+y+z=0…

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