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Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

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Q: - Find the general solutions of the differential equations 6. x3 + 3y – xy' = 0 7. xy² + 3y² – x²y'…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Given the function below find the value of f(-5). * [2x² + 1 if x -5 33 NONE OF THESE -78/25 O 51…

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Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: A differentiable function /has one critical number at x 6. Identify the relative extrema of f at the…

A: We need to choose correct opiton.

Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: Find the line integral of F = (6x - 3x) i+3z j+k from (0,0,0) to (1,1,1) over each of the following…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: For the function f(x, y) = 2x² – 3xy + 8y² + 2x – 4y + 4, find a tangent vector to the level curve…

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: Given the function f(x) = 2x + 3 f(r + h) – f(x) Find the difference quotient f(x + h) – f(x) Find…

A: f(x)=2x+3f(x+h)-f(x)h=2(x+h)+3-(2x+3)h                     =2x+2h+3-2x-3h                      =2hh…

Q: Suppose a person travels at a rate of 4 ft/hr toward the foot of a street lamp pole 51 ft high. The…

A: Solution: Let  H denotes the head of the person and P denote the top of the pole.  At any instant…

Q: 16. SHOW ALL WORK Given the two complex numbers in trigonometric form, perform the indicated…

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Q: 9) Given the function f(x)=-x+4 , find the net signed area between f (x) and the x-axis over the…

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Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: The function given below is discontinuous at x = 1 - 4 I1 O TRUE O FALSE

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

A: This is a problem related to function calculation. Based on the graph we can find out the interval…

Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

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Q: Derivative. The derivative of h(x) : 3+ e(4x2 + 5) is O none of the other answers -e(4x + 5)…

A: step 2 complete solution

Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your…

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Q: (a) u v (b) n.n (c) v||? (d) (u v)v (e) u (3v)

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Q: The world population at the beginning of 1990 was 5.3 bilion. Assume that the population continues…

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Q: Differentiable Function. If a differentiable function f(x) satisfies f(-2) = f{2) then there exists…

A: Given that f-2=f2 we need to show that for what condition c∈-2,2

Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = 3(-4,3) %3D (a) u v (b) (c) ||v||2 (d) (u…

A: The solution is given below

Q: Find an equation for the ellipse. Graph the equation. foci at (0, + - 1); length of major axis is 18…

A: We have to find the equation of an ellipse

Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

A: Given:       vt=-5t4+40t3-149t2+180t  Distance you drove between 1:00pm and 2:15pm is given by…

Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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Q: Suppose a person travels at a rate of 2 ft/hr toward the foot of a street lamp pole 62 ft high. The…

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Q: If f(x,y) %3D — 4y3 — 4ху — 12у — 3х? - 5х - 21 then fy equals ху O -6 -12y? – 4x - 12 | —4y — бх —…

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Q: A racecar travels northward on a straight, level track at a constant speed, traveling 0.750…

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Q: 3. The value of a certain baseballcard (in dollars) tyears after 2015 varies according to the…

A: Given function describes value of card t years after 2015

Q: Use implicit differentiation to find the specified derivative at the given point. dy 7. Find at the…

A: Given that,   6x-7y+5x2y2=0 at the point -1,1

Q: Vn Find the area between f(x) = x- 16 and the x-axis from x 0 to x 9. The area is square units.…

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Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3

Q: What is the average value of y =x*Vx +1 on the interval |0.2? 26 (A) 69 52 (B) 6. 26 3 (D) (E) 24…

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Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must…

A: We have to choose correct option  Here using Lagrange mean value theorem

Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: Second Derivative Test. Consider the function f(x,y) = 4xy + 2ln(x) + 8y

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Q: Given the price-supply function p = S(x) 10(e0.05z 1), find the average price (in dollars) over the…

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx u = du = dx

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