Simplify the complex number 7 (²+1) ³ - 5 (¹)² and express it in the standard form.

Q: Evaluate J da ²√²-49) x>7, using a trigonometric substitution.

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Q: hand written plz the Buchberger's Criterion, determine whether ases for the ideal they generate. You…

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Q: Perform the indicated operations. 11011two +10011two + 11101 two 11011two +10011 two + 11101 two =…

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Q: Problem 12. Determine the amplitude and period of the function y - the function over its single…

A: Let us consider the function of the form y=Acos(Bx+c)+D Amplitude of the function is |A| The period…

Q: Which statement(s) is(are) true? (i) f(x)= x is differentiable at 0. 1 (ii) f(x) =- is…

A: To identify which statements are true

Q: Use matrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4…

A: As you have mentioned  I am solving question number 3. Given system 4x-2y+6z=82x+8y+2z=46x+10y+3z=0…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

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Q: island has 12 fur seal rookies(breeding places). To estimate the fur seal pup population in Rookery…

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Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: Hand written plzz : Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (8-t)…

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Q: Find a QR factorization of the matrix A. [-6-12] A = | 3 36| 0-12 Select one: OA O B. OC. O D. Q = Q…

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Q: Let y'= - ty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution…

A: Let us find the approximate values of the solution of the given initial value problem by Euler's…

Q: Q1: If , r₂ and r₂ are three parallel vectors of the same magnitude Prove that ₁+₂+3 is equally…

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Q: Q2: Check the symmetry and graph the curves in rectangular and polar coordinates (? A r= 3 √cose B-…

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Q: Problem 14. I a) Lett be a real number and let P (2, -3) be the point on the unit circle that…

A: Properties of trigonometric function  sin-1sinx=xsin-1-x=-sin-1(x)sin(2π-x)=-sinx The polar…

Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

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Q: Q3 Find the area inside one leaf of the three leaved rose r-cos30 (upper limit = -1/6 and lower…

A: Let us consider the polar curve r=f(θ) where a≤θ≤b The area under the curve is obtained as Area…

Q: Including a 7% sales​ tax, an inn charges $154.08 per night. Find the​ inn's nightly cost before…

A: Given: Including 7% sales tax, an inn charges $154.08. To find: The inn's nightly cost before tax is…

Q: 6. (laplace transform) Given Y(t) + a²Y(t) = F(t) with the initial condition Y(0) = 1 and Y'(0) =…

A: Laplace Transform.

Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t)…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Consider the oriented curve C, which is the intersection, in the first octant of the surfaces shown…

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Q: Using the Buchberger's Criterion, determine whether the following sets roebner bases for the ideal…

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

Q: у ху = X Sin X

A: We solve the given DE  y"+y=xsinx .....(1)

Q: What is the difference between explicit and implicit schemes for solving parabolic PDEs?

A: Solution :- Explicit methods calculate the state of a system at a later time from the state of the…

Q: 7. Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: Rewrite the following statements and their negations using quantifiers and symbols. Then, argue…

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Q: Solve for the Maclaurin series expansion of ex and use the series to evaluate e0.77. What is the of…

A: Sol

Q: Complete the following claims with the right answer. There are two critical points, (0, 0) and • The…

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Q: Identify which of the following functions is one-to-or onto, and/or one-to-one correspondence.…

A: This is the question of function.

Q: Solve the given differential equations: 1. 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

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Q: Solve the given differential equation. 11x² - 1 y' = 11 + 3y =

A: To solve the given differential equation .

Q: A tunnelling machine drills 500 metres. Use your values from the table to estimate the cost of…

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Q: 6) Let F(x, y, z) = 2ri+xyj+r²zk be a vector field and S the surface with equation x = In (y - 1)…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x)=9 sin 3x What is…

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Q: How does the average height for boys change as boys get older? According to the Physician's…

A: Given data is Age(Years) 0.5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Height(Inches) 26 29 33 36 39 42…

Q: Natalie put seed in a patch of her backyard for a new lawn. The area seeded is 450 ft.2450 ft.2 and…

A: The total area is 450 ft2. And the seed costs $0.15 per square foot. So, the total cost for the seed…

Q: 50x1 + 107x2 + 36xy = 2 Find the solve of the Linear system 25x1 +54x2 + 20xg=1 by Crout's method…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symme…

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Q: (1) I= z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) (2) 1 = √ zdz, C:z(t) = t² + it (0 ≤ t ≤ 1)

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Q: 3 Eigenvalues and Eigenvectors Represent the matrix A as A = V-¹AV, where A = diag(A₁..... An) is…

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Q: Use interval notation to write the solution set of the inequality below. 3x+5< -6 The solution set…

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Q: If the length of the top of a rectangle is 15 inches more than its width and the area is 1,350…

A: Wee have to find dimension of table.

Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

A: Sol

Q: Using the Buchberger's Criterion, determine whether the following sets bner bases for the ideal they…

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Q: 7) Consider the system of differential equations da dy -5y = -5x. dt dt Convert this system to a…

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Q: Evaluate the given function by using three terms of the appropriate Taylor series. √16.2 √16.2=…

A: Consider a function f(x)=√x