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Q: 3. Find the following limits, if they exist, showing all the working. x²-x-6 6- 2x (a) lim→3 3x…

A: Solution:(a) limx→3 (x2 - x - 6) / (6 - 2x) 1. Factor the numerator and denominator:Numerator: x2 -…

Q: Find the derivative

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Q: Which of the following is the normal plane equation to the curve that is the intersection of both…

A: To determine the normal plane equation to the curve at the intersection of the two given surfaces at…

Q: Explain how to solve

A: The graphs of two equations and the region bounded is as follows:f(x)=sin(x)f(x)=sin(2x)0≤x≤3π​ To…

Q: Solve (D^2-1)y = sin x + (1 + x^2)e^x

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Q: An object in motion accelerates according to a a (t) = 2t - 4 m/s² Let v(t) be the be the velocity…

A: Approach to solving the question:Integration of acceleration to get the velocity. Detailed…

Q: 2. Use Green's Theorem to find the flux of F(x, y) = (-y², xy) across the square with vertices…

A: Green's Theorem:The circulation of vector field F=<M,N>in a closed path and the flux of the…

Q: 3x-sin 2x :A) Evaluate the following 1- lim 2x+3x cos 4x 2- lim -3x 3x + 4x B) Write the following…

A: Let's start with Part A and then move on to Part B.Part A: Evaluating the Limits1. Evaluate…

Q: 11

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Q: Only one option can be true

A: Step 1:(a) True: This is a direct application of the Second Derivative Test. If the first derivative…

Q: (13)

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

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Q: 24. By suitably renaming the constants and dependent variables in the equations and P' aP(1-aP) I' =…

A: We are analyzing the differential equation of the form:y′=ay−by2where a and b are positive…

Q: Only one true option

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Q: the graph below to determine the points at which the function f have discontinuities. For each…

A: Please give me helpful review thanks

Q: Verify that the function is a solution of the initial value problem

A: To verify that the given function y=x21+2lnx​+21​ is a solution to the initial value problem…

Q: Find 6 +0 such that b = So (x − 1)dx - – = 0. Previous Page Next Page Submit Quiz 0 of 25 questions…

A: Step 1: Step 2: Step 3: Step 4:

Q: i need a complete NOT AI explanation of every step how to dothis exercise

A: Prime factorization of the number (35-32)222 First evaluate the expression which is inside the…

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

A: Step 1:

Q: Supose 9 9 9 · S₁ f ( x ) dx = −1 −1, √² f(x) dx = 5, and S₁ h ( x ) d 9 x f 4. Evaluate the…

A: Step 1: Properties. Step 2: Solution first two questions. Step 3: Solution of midle two questions.…

Q: solving problem 5 below, can you please explain each step you take that I haven't taken. Thanks!…

A: If you have any problem let me know in comment box thankyou.

Q: Suppose a=(6,8), b= 28, and the angle between a and bis 60. Find a×b

A: Here is the step-by-step explanation:​​Given:Vector, a=⟨6,8⟩Magnitude of vector b is ∣b∣=28Angle…

Q: 23. By suitably renaming the constants and dependent variables in the equations and T'=k(T-Tm) G' =…

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Q: Here's a Calculus 1 optimization problem you probably solved before. Show that the shortest distance…

A: (b) Show that the shortest line segment from the origin to the line bx+ay=ab is perpendicular to…

Q: Only one answer is true

A: The correct is (d) The limit limx→x0​​x−x0​f(x)−f(x0​)​​ exists and is a finite number. To say that…

Q: Please show work so I understand how you solve a problem like this : (see picture)

A: We find the area of the region bounded by the graphs of x = y2 and x - 2y = 8 as follows:  Step 1:…

Q: explain in full detial

A: Step 1: Step 2: Step 3: Step 4:

Q: =) Find the value of the following 1: tan 150 2: cos Let |A|18 unit with angl 0 = 150 Write as…

A: Let's solve the problems shown in the image one by one:  1a: tan⁡150∘tan⁡150∘ = tan⁡(180∘−30∘)Since…

Q: Hi, could you solve this question? part a, b, and c.

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Q: Problem 8. Sketch each parametrized curve r(t) on an interval including the point P. Sketch T and N…

A: ### Part (a): r(t)=(cost,sint),P=(1,0)This is the parametrization of a unit circle in the plane. The…

Q: Simplify the expression

A: Step 1: Given expression: (yz−y​)(zyz2−y2​)​, we have to simplify this expression.The given…

Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

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Q: 3) Given that Le e-2 dx = √√, what is the value of x²e-x² dx?

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Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: ### Part (a): ∫z2−25dz​This is a standard integral that can be solved by using partial fraction…

Q: Help

A: Given:Adjacent side to ∠C (which is 50∘ is  b = 18)c is the hypotenuse∠C=50∘ Step 1: Find the…

Q: Use technology to find f'(2), f'(15), f'(-3) for the given function when the derivative exists. f(x)…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Using Region R enclosed by the graphs y=x, x-y=4 and y = 0 (x-axis), please do the following. 3 a)…

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Q: Find 8 [°³ ° f(x) dx if f(x) = {~ 6 for x < 6 for x ≥ 6

A: To solve the integral ∫08​f(x)dx where the function f(x) is defined as:f(x)={6x​for x&lt;6for x≥6​we…

Q: Show all steps and answers clearly, no short cut, especially how to find T'(t)

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Q: The material for the bottom of an aquarium costs half as much as the high strength glass for the…

A: The required optimization problem is solved using Lagrange multiplier as follows:Step 1: Step 2:…

Q: Expand f(x) = (1+x)^1/2 to the linear order of x and estimate the error when 0&lt;x&lt;1/2.

A: Step 1:Step 2: Step 3: Step 4:

Q: Find all solutions of the equation.

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Q: Given the following vectors: u = 361-262 + 83 v = 261-462-383 w=-81 +262 + 283 Find the magnitude of…

A: Given vectors are:u=3δ1​−2δ2​+δ3​v=2δ1​−4δ2​−3δ3​w=−δ1​+2δ2​+2δ3​ The magnitude of a vector…

Q: Find the value of the constant k that makes the function continuous. 2x²-7x-30 if x#6 g(x) = X-6…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Each statement below has an error. Rewrite the statement to make the statement true.   1. Let the…

A: Step 1:Step 2: Step 3: Step 4:

Q: The price of a beef roast is $7.82/kg. How much will a 2kg roast cost?

A: The given values are:Price per kg of beef roast = $7.82Weight of the roast = 2 kg

Q: Suppose B = from B to C if {b1, b2} and C = {C1, C2} are bases of R², find the change of basis…

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Q: a. If z=sin(5x + 3y) Find az dz and 一 dx ду b. Ifz (3x+2y)(4x-5y) Find 8z and дх C. A cylinder has…

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Q: YPE YOUR SOLUTION HERE! 3) Suppose that g has the property that g(0, y) = 0 for all y 0 and makes…

A: Step 1:Step 2:

Q: Given the following logistic differential which models population growth. equation Identify the…

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