Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is positive) a) y-16x+15=0 b) y-8x+3=0 c) 4y+2x-3=0 d) 4y+2x-5=0 e) others

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

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Q: b) R2x³ydA where R={(r,0) | 1<r<2, π/6≤0</4}. Sketch:

A: Note: these are multiple sub parts questions and according to our company guideline we can do…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We use the formula: For n = 1, 2, 3, . . .

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Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

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A: Here is the solution

Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

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Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: Step 1 of 4: Find lim f(x). x--3- Enable Zoom/Pan 10 10 -10 Keypad Keyboard Shortcuts Selecting a…

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Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

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Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: Power series p₁(x) and p2(x) are given below. P₁(x) = 1 + 7x +49x² + 343x³ +2401x² + ... P2(x) = 1 +…

A: Here, to find the series notations of p1(x)+p2(x)

Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (−1, 2, 3) (i) Calculateu+v-W (ii)…

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Q: The future value S of an investment earning 6% compounded continuously is a function of the…

A: Given expression of S S = f(p,t) = pe0.06t

Q: Use the following information to answer the next question the graph shown below is obtained by…

A: Please refer to the image below

Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: 4 3 2 1 -1 -2- -4 -3 -2 -1 10. From the above graph of y = f(x), answer the following questions: (a)…

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Q: Enclosed by x² + 4y² = 16

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Q: Let f(x,y)=-x³+4xy-2y²+1; find the critical points of f and test them using D=D(x,y).

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: OA-3 Close Date: Wed, Jun 1, 2022, 11:59 PM Question 3 of 9 Meadow Company wants to invest its net…

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Q: Write an equation for the polynomial graphed below 6 + 5+ 4 2 + + -5 3 y(x) = -B -2 1 -1 -2 -3 -4 1…

A: Solve the following

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Q: ol Down: Two Reflections . Graph the function g given by g(x) = -f(x). 2. Graph the function h given…

A: Reflection

Q: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

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Q: dx √x² - 4x + 13 S

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Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: A Prove that 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x²+y²…

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Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Δy ~

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Q: ● -5 13 10 5 Enable Zoom/Pan x -10 10 5 Keyboard cting a radio button will replace the entered…

A: We will solve the limit.

Q: Consider the differential equation y' = y² where y is considered to be a function of . 1 In this…

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Q: 1. 2ydx+x(x² In y-1)dy=0

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Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

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Q: Differentiate and simplify this function f (x) = x2/3 sin(x)

A: We have to find the derivative

Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

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Q: Find ď²y dx² x = 3 sin t in the parametric equation y = 3 cost 0≤t≤ 2π.

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Q: N IS. Use the graph to answer the following questions. (a) Over which intervals is the function…

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Q: J sec x dx Vin (secx + tan x)

A: As per the instruction, we will be answering the first question. For (4),      ∫secxlnsecx+tanxdxLet…

Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: 1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x-…

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Q: Find an antiderivative F(x) of the function f(x) = - 2x²5x + 2 such that F(0) = - 15. F(x) = Now,…

A: On solving this we will get