The number of significant digits to which the number 7.29 approximates the number 7.01 is

Q: Y'+tanx *Y = cos^2X Determine if diffrential eqation is linear.

A: Introduction:   A linear differential equation is a linear equation or polynomial with one or more…

Q: Show ▼(E) - G&F - FVG G² G=0

A: Given : G≠0 To Show  : ∇FG =G∇F-F∇GG2

Q: the mean and standard deviation of the measurements. If the mean is 75°C and the standard deviation…

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Q: Sketch the curve r=0 in polar coordinates for: i. (0 <=0) ii. (-∞0 <0<∞ )

A: In a polar coordinate system, a point is represented with coordinates (r,θ). The radial coordinate r…

Q: 1. Let A be a square matrix such that det (AIA) = 2¹0-2⁹ - 3028. inte) What is the size of A? 0.13…

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Q: Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1, 1) to (1,1,0) and C₂ is the…

A: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is the curve…

Q: Find an explicit solution of the given initial-value problem. (1 + x²) dy + x(1 + - 4y²) dx = 0,…

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Q: Check if set X is linearly i ndependent, spans r3 and check for basis of r3 X={(1,0,0),(0,1,0),…

A: A set is a BASIS if it linearly independent and spans the vector space

Q: (b) (2 + 3i)¹+i

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Q: True or false: If A is an eigenvalue of an nxn matrix A, then the matrix A-XI is singular. Justify…

A: Defining Eigenvalues and Their Associated Eigenvectors λ is an eigenvalue of n × n matrix A, and v…

Q: Idaho Investment CO. borrows $11,100 from a bank at 3.9% compounded quarterly for 6 years and 3…

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Q: 11. x²y" - 2xy + 2y = 0, y (1) = −1, y (2) = 1

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

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Q: Choose the letter of the correct answer. If (x_n) is a bounded sequence in R then there is a…

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Q: One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal

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Q: is lim x = inf (xn) as x, y. What Express answer and = 3n lim sup (xn) where Xn = [(-1)³ ]+2?

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Q: Show Attempt History Your Answer Correct Answer (Used) Let y'=ty + 0.1y³ and y(0) = 0.79. Use…

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Q: Solve the given differential equation. All solutions should be found. dy e5x =e dx NOTE: Use c for…

A: We have to solve the given differential equation dydx=e5x+10y .

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are s-a 2¹ 6²}- | (sa)² + b²) and…

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Q: Let S be an oriented surface in R³ with a piecewise smooth closed boundary C whose orientation is…

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Q: Find an angle between 0° and 360° that is coterminal with the given angle. 398° is coterminal to…

A: Coterminal are the angles that start and end at the same point. So, to find a coterminal angle add…

Q: 23- y" + xy = 0, y' (0) = 0, y' (L) = 0

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Q: Evaulate the line integral of c (x^2+y^2) where c is the line segment from (-1,-1) to (2,2)

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Q: - Find div F and curl F if F(x, y, z) = 10y¹z7i – 17xªzºj – 3xyễk. div F= curl F=

A: The general form of a vector-valued function in three dimensions is given by F=F1i+F2j+F3k, where…

Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

A: It is provided that f(t)=-3t. We need to calculate F(2).

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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Q: Note: you can enter pin) by writing pi in the boxes provided. Let R be the finite region enclosed by…

A: We have to find the volume of the region enclosed by the curve y= 11(X)^(1÷2) , the X axis and the…

Q: To approximate the integral of a function w(x) on [-1, 1] use the formula = = [₁ w(t)dt ≈ w(a) +…

A: Given: The integral of a function wx on -1,1 is approximated by the formula, Iw=∫-11wtdt≈wa+w-a,…

Q: Evaluate the following iterated integral. Jó lolo(−2x + 5y + 2) dx dy dz Ⓒ42 Ⓒ52 38 48 41

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Q: b B 490 9 a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

A: Let us consider a triangle ABC right angle at B Sum of angle of triangle is 180° Properties of…

Q: Write the equation of the Conic, given its graph.

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Q: Choose the letter of the correct answer. Let f: D-R and c be a cluster point of D. Suppose that…

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Q: What is the profit-maximising level of output for the following production function: TR = 260Q and…

A: This is a problem of optimization.

Q: Let f (x, y, z) = g (√x² − 4y² + z2²) √√x² +16y² + 2², where g is some nonnegative function of one…

A: We have to find the mass of a curved lamina from the given information.

Q: Show that the differential equation x²y³ + x(1+y²)y' = 0_ is not exact, but becomes exact when…

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Q: (b) Let g(x, y) = 2 + 5x + 6xy + y². Find the degree 1 and degree 2 Taylor polynomials of g at…

A: (c.) Consider a function h that is a degree 2 polynomial in x and y, that is,…

Q: Bailey received a loan of $13,690 from her friend. If she was charged the interest amount of $965 at…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 3√√y + 7x³ that passes…

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Q: Solving Differential Equation by Laplace Transform Solve the following initial value problems using…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Consider the function f(x, y) = 2x³y² − 9x²y² + 12xy² + y Compute the stationary points of the…

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Q: Let X be the set of all sequences (a₁, a2, a3, ...) of real numbers. Define a relation Ton X by (a₁,…

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Q: 43. If f is differentiable and is periodic with period T, show that f' is also periodic with period…

A: First we prove that f'(x) is periodic by definition of derivative. Then we give an example to prove…

Q: Given the graph of f below, which of the following is (are) true about fat x=a? (a) f is continuous…

A: a) f is continuos at point a  because f' has maximum value at that point. This implies f has minimum…

Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: so what is the solution of sin 1=.  , sin 2 =.  , sin 3 = and sin 4=.

A: We need determine the values of sin 1, sin 2, sin 3, sin 4.

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (7y² − x² + 2) dy = 0 is exact. If…

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Q: Find the value of the constant k so that the differential equation (6xy³ + cos y)dx + (kx²y² − x sin…

A: For the given Exact Differential (6xy3+cosy)dx+(kx2y2-xsiny)dy=0 value of k is 9 Hence option (A) is…

Q: Consider the following function. T: R² R³, T(x, y) = (√x, 3xy, √y) Find the following images for…

A: Let us consider the transformation T:U→V defined as T(u)=v  The transformation is linear…

Q: 5. Solve the following initial value problem: (You do not need to find the inverse Fourier…

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