# Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable everywhere. To advance in the circuit, find the sum of a and b.

Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

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Q: If a graph begins at a maximum value, which trigonometric function is easier to use to model the…

A: We have to explain if a graph begins at a maximum value then which trigonometric function is easier…

Q: Please assist with the

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Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: y' = x y+x²y ) y(0) = −2

A: Here we have to solve the given differential equation

Q: Evaluate the line integral along the curve C. [(x+3y)dx + (x-y)dy, C: x= 2cost, y = 4sint, 0≤ts-…

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) Ins

A: To find all of the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: Calculate the amount of money Manvir had to deposit in an investment fund growing at an interest…

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Q: Evaluate f 9-4x² dx x²

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Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

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

Q: A- for the function below, the domain and the range is respectively y = |x-2

A: To find the domain and range of the given function

Q: Let f(x,y) = xsin(xy), then fx(x,y) = O sin(xy) + x²cos(xy) O x²cos(xy) O sin(xy) + xycos(xy)…

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Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: fcx) = sinh x X il 10 - 2 (1+X+X/21 + X/31 + -)-(1-X + X²/21 - X/31 --) 2 3 +2 5 2x+2 31, 2 3! 51…

A: We know, coshx= [ex+e-x]/2 and emx=1+mx+m2x22!+m3x33!+... for any real number m

Q: Consider the function f(x) = vx and the point (4,2) on the graph f. (a) Graph fand the secant lines…

A: You must have idea about the graphs and secant of any function to understand it better.

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: This question can be solved using the concept of rate of change of quantities.

Q: D-the derivative is y = In Othe O is the (VW) 1 + Vē 1 0(√) 1 (1+√ē) O it O is 1 20(1+√ē) 1 0(1+√0)

A: Differentiation

Q: 2. A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The…

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Q: An ice cream store was able to sell 2500 ice cream in a week at $3.50 per ice cream. The owner…

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Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: 1 Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Given problem:-

Q: For the surface 4x² +2²-y²=9, classify the trace when z = 1. O line O hyperbola O ellipse O parabola

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Q: Q5: Find the domain and range for the following functions A- for the function below, the domain and…

A: To find the domain and range for the function given below.y=x-2

Q: Find derivative of the 6tanx following function d d.x

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Q: Use Newton's method to approximate a root of the equation cos(x² + 4) = x³ as follows. Let 1 = 2 be…

A: See the details solution in below

Q: Q2. Let u = (2,-1,1) and v = (3,1,0). Find the following: 1) |2u - v| 2) u ov 3) The angle between u…

A: Given

Q: For the following, problems, find the volume generated when the region between the two curve is…

A: The volume (V) of a solid generated by revolving the region bounded by y=f(x) and y=0 (x‐axis) on…

Q: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: y r I 2 9-2²-2 The integral that will give the area of region R using horizontal strips is. a. ²…

A: Curve 1: y=x2-2⇒y+2=x2⇒x=±(y+2)12 lets take positive side of x be f(y)=(y+2)12 Curve 2: y= x let…

Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √√x² + y2…

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Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: D- for the function below, the domain and the range is respectively y = x²/5

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Q: How long did it take for an investment of $21,250 to grow to at least $24,000 at 2.50% compounded…

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Q: S =/2e-3x/4 3x -3x/4 (A) 4 2x - 3x/4 (B) 3 (C) - 1/2 e X (D) 1/2 e e e ₂-3x/4 - 3x/4 dx + + 3 - & e…

A: By see this solution

Q: - for the function below, the domain and the range is respectively y=√√16-x²

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Q: 4. Find the value(s) of a for which and are orthogonal: a) (2,-4,5) and (a +1,3,-a +3) b) -…

A: As per guidelines we must answer only one of multiple questions given. Please resubmit the remaining…

Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: y = In O it Vsin 0 cos 0 1+2 ln 0 4 0(21n0) In (YS [cot 0-tan 0 another answer 1 1 [cot…

A: Given

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: B) Find derivative of the following function d -6tanx dx

A: Find derivative

Q: smal 150 125mxa 081 dia! 3a. Find the coordinates of the relative maximum and relative minimum of…

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Q: Q1 Find the value of x, y, z if the matrix 0 2y Z A = X y -Z x -y Z satisfy the equation ATA = 1. 6…

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Q: Consider the function f (x) = x3 −3x2 + 2. Find f ′′(0) and f ′′(2). Deter- mine whether the…

A: topic- derivative of a function

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

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Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

A: First I have drawn the region between given curve and lines and then find its bounded region,…

Q: An investment of $13,000 was growing at 6.5% compounded quarterly. a. Calculate the accumulated…

A: Answers of the all above question is