(D² − 4)y = 8e²x – 12 -

Q: 6- Given the function below -(x+1) ²+7 X2

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Q: d'y dx² d²y + dy dx X=

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Q: Evaluate the function at the given values of the independent variable. Simplify the results. g(x) =…

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Q: III. Find a set of equations of the line passing through (4,2,-1) and parallel to the line of…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

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Q: The length of each of the two equal sides of an isosceles triangle is 24 meters (see figure). The…

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Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: (D² − 3D + 2)y = 2e¯* +8

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: To find out the tangent line approximation.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +9 1 = lim t→+∞ (?, ?) 7t² + 8' 4t,

A: Given problem:-

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: Q: Evaluat the integral. Q₁ is's ex dxdy 3y +²

A: Here we have to find the integral.

Q: 6- Write four examples about sketch the graph in polar coordinates from families of cardiod and…

A: Let's find.

Q: Let f(x) = Find the equation of the tangent x² +1 line to the graph of f'(x) at the point where x =…

A: We have to find equation of tangent

Q: For the function f(x) shown below, determine lim lim f(x). x→ x² - 9 for x > -3 f(x) = { -5x - 9 for…

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Q: Write the sigma form for sin(x^2), Write the first 4 terms of the series approximation, and use the…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: 5. Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (1, 0, 0) to…

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Find a general solution. Show the steps of derivation. Check your answer by substitution. -1.2 6. y'…

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Q: Find the exact length. T=0², 0≤0 ≤ 2π ° 4[G²+1²] ²3 [(x² + 1)² - 1] [(²+1)-1] ° 4[68² +1²]

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Q: Evaluate the double integral ₁+² (y + 2x) dy dx p1+z² -1/2 O 0.0892 0.0888 O 0.0982 0.0999 0.0882

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Q: tutor

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Q: A sphere with dimension [r=5m] what is the error that can be incorporated in the redais shuch that…

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Q: [2,

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Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: Q₂: Find the area of the region insid the circle v=1 and the Curve r= 2 sin@ (use double integral)

A: Given r=1 and  r=2 sinθ The formula to calculate the area of the region inside the circle is:…

Q: Prove the identity. COS X 1-sin x 1+ sin x COS X Note that each Statement must be based on a Rule…

A: Solution )  cos x / ( 1 - sin x ) Multiply cos x in numerator and denominator =cos x × cos x /  […

Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

Q: 12. Prove that the intersection of any family of normal subgroups of a group (G, *) is again normal…

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Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(x) = √1+x cos(3x).…

A: We need to find polynomial series.

Q: S [[x+1]], Determine iF f(x) = if x ≤ -1 2 tanh (H), ip-IxO (x+1), < <) In [cash (x+1) + sinh…

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Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: Q₁: Revers the order and Evaluate in 는 I S dx dy y

A: Given integral is ∫-212∫y1-ydxdyx limits are x=yx=1-yy limits are y=-2y=12By inversing limitsy…

Q: Q6: If z = x2 and ad y, then 이렇 이렇 소설 이를 Choose e) others

A: Given problem:- If z=x2 and y=z3/3  To find:- dy/dz

Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

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Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

Q: = The Taylor series for f(x) = √2x − x² at a : 1 is Σ Cn (x - 1)”. n=0 Find the first few…

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Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Find dy. Do not simplify your dx answers cashy (x² + + 7) = x curt y² 1. COS -241

A: As per the instruction, we will be answering only the first question. For (1),…

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: Ex. (9) Solve 3y"-2y' + y = 4x+2

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: The equation of a curve is given by f(x) = √2x-1. a) Use the definition of derivative to find f'(x).…

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