The result of the following sin 1² t limit is lim 1-0

Q: for the function below, the domain and the range is respectively -2+√1-x

A: Topic = Functions

Q: Find and simplify the expression if f(x)=x²-11. f(4x)

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Q: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

A: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B

A: Topic = Matrix

Q: Three regions are defined in the figure. y C (0,3 R₂ B(1,3

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Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

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Q: For f (x) = 1/4x^4 − 1/3x^3, find the critical values of x, and determine the relative maxima and…

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Q: Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent.

A: SOLUTION-

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: This question can be solved using the concept of rate of change of quantities.

Q: Use indirect proof to show that if n is an integer and n^3 + 5 is odd, then n is even.

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Q: 10. The function y = f(x) is shown where a 0 and c> 0, then a potential equation might be: A.…

A: Consider the graph

Q: B) The Value of the integration for the : below function shown is sec²2xdx [

A: Let's solve given  integration.

Q: Solve the following initial value problem. y+y"=6x+8e; y(0) = 1, y'(0) = 0, y''(0) = 1 The desired…

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Q: ....... ds. By the same way find the power series of coshix. ..

A: ex = 1+x+x22!+x33!+x44!+...

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: Consider the following. 0.75 +² dx V9-16x² 3 Let x = sin(0) and determine the following. 4 dx = de x…

A: Given I=∫00.75x29-16x2dxI=∫00.75x232-(4x)2dxLet  x=34sin(∅)Differentiate dx=34cos(∅)d∅As x=0 →∅=0…

Q: 1. There are initially 95 mg of a decaying radioactive substance, and after 10 hours there are 68…

A: Given: Initial amount of the radioactive material= 95mg After 10 hours amount is =68 mgTo find: Half…

Q: 1505 152 mxa 081 dial 3a. Find the coordinates of the relative maximum and relative minimum of the…

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Q: Exercise: Find unit vector perpendicular to the F .P(1.1.1). Q(2.1.3). R (0.2.1) and find area of…

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: 1. The expression log (at) is equivalent to: h logm a log t 1. A. B. log (at)" . log log Wat D. log…

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Q: Write the solution statement for all of the solutions to the equation –5sec(θ) = 10. Show work.

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Q: To which of the following scenarios could the equation dT dt -k(T- with solution T(t) = 25+ 35€ k> 0…

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Q: dy dx x3 2+y²

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Q: projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: Data is given

Q: y = COS X 1+sin x

A: ddxcosx1+sinx

Q: Calculate the derivative of the function below using the quotient rule. y = 2-10 √x + 5x8 f(x) = and…

A: Use quotient rules

Q: Solve the differential equation: dy y+ = dx

A: Given query is to find the solution of the differential equation.

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: Question 1 Which of the following is a power series about base point O for the derivative of…

A: Solve the following

Q: For the following, problems, find the volume generated when the region between the two curve is…

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Q: Q.2A) Evaluation: If Z = x.n.f (*), then show that: x. z₁+y. Zy = z

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Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

A: First I have drawn the region between given curve and lines and then find its bounded region,…

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Find all values of m so that the function y = ex is a solution of the given differential equation.…

A: We need to find values of m.

Q: Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let f be an…

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Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: 3) Use double integration to find the area of the shaded region between the y-axis and the curve x =…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

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Q: 4-If B=(2,-2) and C=(5, 8). Then, B.(2C) equal: a) 12 b) -12 c) √12 d) 1/12

A: Solution )  B⇀ = ( 2 , -2 ) , C⇀ = ( 5 , 8 )  2C⇀ = 2 ( 5, 8 )      = ( 10 , 16 )  we know that…

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: Problem 11. Discuss the function f(x) = in terms of its concavity, inflection points, and local…

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Q: C-the derivative is y=0³ e 28 cos 50 e 20 (3cos 50-20 cos 50-50 sin20) it's 02e-20 (3cos 50-20 cos…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. (x)…

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