For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b - 1

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Question 3 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Two fire lookout towers at points A and B are 5 mi apart. Find the distances from points A and B to…

A: Given data:- The given angle,  ∠ABC=75°45'∠BAC=84°37' The distance between A to B is 5 m.

Q: 5) For the function f(x)=3√2(x-5)+8 , state the domain and range of f(x) and f'(x).

A: Let's find domain and range of given function.

Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

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Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: Find the limit of f(t) = lim f(t)= 2-5t+ sin 3t 3t+cos 3t t-18 (Simplify your answer.) as t…

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Q: 2. A balloon is released upward from the ground at a speed of 5 m/s. When the balloon was 10 m above…

A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

Q: 2. So x+1 (x² + 2x + 6)² dx

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Q: The graph of f is given. 0 1 X (a) What are the domain and range of f-¹? (domain) (range) (b) What…

A: Here, note that the domain of the given function f(x) is [-3,3] which are the x values for which the…

Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

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Q: Calculate all four second-order partial derivatives of f(x, y) = (5x + 4y)e". fxx (x, y) fxy (x, y)…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: V = ∫πy2dx here y = 12-x limit from -4 to 12

Q: Solve the definite integral

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Q: Which of the numbers 1, 2, 3, 4, 5, and 6 are critical numbers of the function graphed below?…

A: Given,

Q: y = x(2x + 1)³, find y".

A: Our Aim is to find the double derivativey" of the function given below:-y=x2x+13 -(i)

Q: w = xy + yz + xz, x = r cos 0, y = r sin 0, z = re. Findow, when r = 2,0 = π/2. dw 20

A: Concept: Partial derivative: Let's say we have a function f(x, y) that depends on the values of two…

Q: iderivatives) Find the antiderivatives of the following functions: f(x)=x²-²/+³ f(x) = e-2x - e-…

A: Note:- According to the company policy we are supposed to solve only three subparts so please upload…

Q: Find the intersection (if any) of the lines =(4,-2,-1) + t(1,4,-3) and F = (-8,20,15)+u(-3,2,5).

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Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

A: Yes, By the intermediate value theorem , if a function changed sign, its value was zero at some…

Q: How much more does Karla earn than Bert? tA $ Package Delivery Driver Salaries Misha $39,731 Charles…

A: Given Data: Package delivery driver salaries Misha $ 39,731 Charles $ 41,189 Bert $ 42,098…

Q: In you the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store,…

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Q: FInd d/dx (1-xe^2/x+e^2 Derivative: ___

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Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

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Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

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Q: y = 8 tan 5x + 4 cos 3x + 11secx

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Q: 1. For vectors ū and shown, drawu - 20 13 19

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Q: Solve x dy - y dx = 2x³ dx. O y = x^3 - cx O y^3 - x^3 - cx Oy=x^3 + cx O y^3 - x^3 + cx

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Q: How would you solve this if you didnt have the coordinates of A and B and only given a function

A: If here not given the point and given the function only then

Q: Calculate all four second-order partial derivatives of 3x (3) f(x, y) = sin

A: Given, f(x,y)=sin3xy

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: S 2 x (4-x²) 3/² хр

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Q: Make a sign diagram for the derivative of the rational function. 5x f(x) = ---Select--- X = 9…

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Q: Solve the DE dy/dx + (2/x)y = 6x³.

A: Given,            dydx+2xy=6x3To find : Solve the DE.

Q: Solve AABC subject to the given conditions. Give an expression for the exact value of each side in…

A: We can find the required values in the below steps.

Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: 2 11. S ² | x - √x |dx 0

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

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Q: π/2 π/3 esec 2 x (sec 2x)(tan 2.x)dx

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Q: If z = (x + y)ey and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

A: Here we have to find the derivative.

Q: Find the value of the constant m that makes the following function continuous on (-∞0, ∞o). mx - 13…

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Q: A ball is thrown straight up from the top of a building 156 ft tall with an initial velocity of 72…

A: Given data:- The given value is, h0=156 ft The given value of, v0=72 ft/s The given equation is,…

Q: Find the formula for the graph of the function f(x) given in the graph above. f(x) = 5sin(pix)+2 AN…

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Q: 4 2 -2 P' 2 4 6 8 10 12 14 t (a) Calculate P'(8) and interpret that terms of the deer population.…

A: This is a problem related to derivative graph function. Please follow the procedure given below. As…

Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

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Q: y = tan-¹(7x)

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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