valuate the limit 5x² + 3x lim ZX √7r4+2r² +10

Q: Simplify cos (3w) - cos(w) sin (3w) + sin(w) Question Help: Video Submit Question to an expression…

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Q: 1. If u = x tany², z = 3te", y = (a) (b) ди Əs ди dt In s 1+1 Find the following using chain rule.

A: Part a Given that : u=x tany2x==3testy=lnst+1 Consider: ∂u∂s=∂∂sx tany2=∂∂xx tany2∂∂sx+∂∂yx…

Q: Determine whether the improper integral diverges or converges. 1 + e-6x Sº converges diverges 6x dx…

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Q: Prove that the set of numbers ℚ(√3) = { a + b√3 : a, b ∈ ℚ } is a field. (You may use that ℝ is a…

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Q: Suppose z = x² sin y, x = 3s² + 3t², y = −4st. dz дz A. Use the chain rule to find and as functions…

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Q: 9. Evaluate the definite integral, L'xa x(1-x)¹82dx

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Q: et y = f(x) = 5x² + 3x + 5 and x = g(t) = 2t + 3. Find dy = dy dt

A: Given query is to find the derivative.

Q: F(x, y) = (f(x,y), g(x, y), h(x, y)) = (2x²y — x¹, eªy — y sin(x), x² cos(x))

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Q: Let a = ci + j and b = 4i + 3j. Find c so that the angle between a and b is - Round your answers to…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. du =

A: Given query is to find integral converging or diverging.

Q: Find the first and second derivatives. ds r= 2s d²r ds 6 4 5s

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Q: Find the first 4 non-zero terms of the Taylor polynomial centered at x = 0 for f(x) = cosx

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Q: [75 7x² sin (2x) dx using integration by parts. Select the correct answer below: Evaluate 7 A-7x²cos…

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Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Please see the below picture for detailed solution.

Q: The differential equation 6y²dx − x (2x³+ y) dy = 0 can be treated as a Bernoulli equation in…

A: Given Differential Equation:- ⇒6y2dx-x2x3+ydy=0

Q: Knowing the Integrating Factor to the above differential equation, vdx - (2v1) x dv = 2v²e²dv, the…

A: Topic = Differential Equation

Q: Find (f-¹)'(a) for f(x)=√√x - 4 when a = 1. (Enter an exact answer.)

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Q: For the equation given below, find 3 x³y2-3 r2y = 5 dy dx

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Q: Differentiate the function P = 7000(1.01)*.

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Concept: The area of the rectangular field is given by A=xy Where x is the length of the field and y…

Q: Solve the following initial-value problem: y'+ (tan x)y=cos²x; y(0) = − 1 - O y=−(sinx)(sin x−1)-co…

A: We will find the required.

Q: dy 3. Let 8y secy. Use implicit differentiation to find dx = 6071)

A: As per the rules we can answer only first question and rest can be reposted.

Q: f(x) = x², g(x)=√x-3 Find (fog)(x). (x-3) Find the domain of (fog)(x). (Enter your answer using…

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Q: dy The Integrating Factor of the differential equation + y tan x = sec x is. dx (A) (B) sec² x D cos…

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Q: Differentiate the function P = 7000(1.01)*.

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Q: Suppose that f(x)=x². (a) What is the average rate of change of f(x) over each of the following…

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Q: Flight of a Rocket The altitude (in feet) of a rocket t s into flight is giver s = f(t) −t³ + 48t² +…

A: Given query is to find the inflection point and maximum velocity.

Q: Question Find (f-¹)'(a) for f(x) = 5x + 1 when a = 1. Enter an exact answer. Provide your answer…

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Q: If csc(x) = 5, for 90° < x < 180°, then sin COS tan x 2 (-) 2 2 = = = Question Help: Video Submit…

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Q: Evaluate the following limits, making sure to justify your calculations as much as possible: |x - 3|…

A: Consider

Q: y = 9 cos 1 x TL at x = 0

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Q: Consider the following functions. f(x)=x*19(x) == Find (fog)(x). 1 1+x Find the domain of (fog)(x).…

A: To find the domains of given composite function.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter JNE.) x². lim x-0…

A: Please see the below picture for detailed solution.

Q: 3) Solve the equation ALGEBRAICALLY. Show all steps. 5e4x = 285

A: Given query is to find the value of x.

Q: d for end behavior - Calcwor... = Access ALEKS OGRAPHS AND FUNCTIONS Sum, difference, and product of…

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Q: (a) radians 8 = (b) degrees 8 =

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Find the equation of the tangent line of f(x) = sin x tan x at x = pi/4. Write answer in exact form.

A: we need to find out the equation of the tangent line

Q: then find all solutions of the equation in the interval [0, 2π). The answers are x1 = x2 = x3 = and…

A: Given query is to find the values of the angle.

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x-4 t(x) =…

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Q: Find the constants in the partial fraction decomposition. A x-10 10x+12 (x-10)(x²+12) A = + Ba+C x²…

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Q: The general solution of + y tan x = sec x is dy dx A B (C) (D) y (sin x 1) = C y sec x = cotx + C y…

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Q: Express the function F in the form fog. (Enter your answers as a comma-separated list. Use…

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Q: If f(x) = ln(x) where x = [1, 3] is rotated about the x-axis, then the area of the resulting surface…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: n triangle ABC find side length a. SinA= 0.5, <B= 45, b= 20

A: We can find the value of side length 'a' in the below steps.

Q: -7x+5y> 15 3x+4y<-4 Then give the coordinates of one point in the solution set. -10 -8 -6 104 8- 2-…

A: we will find the required.

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: Given:     Let the equation of plane passing through 6,-4,3 is  ax-6+by+4+cz-3=0…

Q: 3. Sketch the graph of a function f with the following properties: x f is not continuous when x = 4…

A: We have to sketch the graph of a function that has the properties, f is not continuous when x=4 but…

Q: 2. Let w = eur, r = √ x2 + y2, u = tan- -1 y ди Find дw др and да at p = 1. and q = 0. = 2, x = ePa,…

A: Given :- w=eur,r=x2+y2,u=tan-1yx,x=epq,y=cospq2

Q: and the first three nonzero terms of the Taylor series for sin a centered a se the nonzero terms in…

A: Topic:- calculus and algebra