1. Show that (a) Log(-ei) = 1 - ži;

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constarit. >2 where 3 x? as a ad…

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Q: ar lim ƒ(x)=-1 2) 1 →→2 Given find the following lirnit 3/7f(x)- g(x)² g(x)+1 lim 2 and lim g(x)=1…

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Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

Q: Month-end payments of $1,420 are made for 8 years to settle a loan of $121,220. What is the…

A: We have to find rate of interest in this question.

Q: (8) A LTI system is described by the D.E. y +6 Y+8y = 2 x (H) find h(t) then find y(t) if X(t) =…

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Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

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Q: au limit does not exis 10 hauria natura UnaUna Un aUna -6 aUrauna -10 b) c) hauaOnaUnaUnaUnaUnaUn…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: Express your final answer at least three (3)decimal places. A particle moves with a velocity of…

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Q: 3. Apply definition (3), Sec. 19, of derivative to give a direct proof that dw dz 1 when w: Z (z =…

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Q: The position of a particle at time t is s(t) = t³ + 4t. Compute the average velocity over the time…

A: We need to find velocity.

Q: Crystal made equal deposits at the beginning of every 3 months into an RRSP. At the end of 6 years,…

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Q: Determine if each of the equations given is or is not exact; Solve those that are exact. a) (x +…

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Q: Sketch a possible graph of a single function satisfying all of the following properties -DNE lim…

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Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and dx = 0.3 Find the differential dy when…

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Q: f(x)=√x+1

A: Graph of the function and equation of the function is given, we have to find its domain and range

Q: EXAMPLE 4 If an object moves in a straight line with position function s= f(t), then the average…

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: 00 Does the series (-1)+1(0.9)" converge absolutely, converge conditionally, or diverge? n=1 ...…

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Q: Find the relative maximum and minimum values. f(x,y) = x² + y²-18x+16y-11 Select the correct choice…

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Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

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Q: Let f(x) ƒ'(x) = = 5 csc (8x)

A: The answer is given below:

Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: 6. Demonstrate that Σ j=0 1-z' 1-z

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Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1<x<3x-3x≥3we discuss about the discontinuity of the…

Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

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Q: dy dx 6e²x-y

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Q: 4. S (e² + 1)2² dx ex

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Express your final answer at least three (3)decimal places. The population of a townin…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = 6 x intercepts…

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Q: Question 7 of 10 ImaUna Evaluate 2√5x-2-√2x+4 lim

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y)→(0,0)…

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Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

A: Let's find sensitivity of the body to a dose of 2 milligrams of predamestane.

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: [(8-3sin2x)+ cos2xdx

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

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Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A: Calculate the value of D and then decide the nature of critical point.

Q: (a) Use differentiation to find a power series representation for f(x): = f(x): 8 = Σ(1 n = 0 f(x)…

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Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: Question 1 lim xe-* X→∞ A. 0 = B. Co C. e-1 D. e E. 1 F. None of these.

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