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Q: For what values of x is f(x)=0?(show all work) 2.)For what values of x is f(x)=4? (Show all work)…

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Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Practice Composition of Functions Given f(x) = 2x² +8 and g(x) = 5x - 6, find each function. 1.…

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Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

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Q: 44. Given the alternating series: 1-+-+632... What is the error bound for an 80 term calculation? A.…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: a) y=(x2-2)2 put y=y+∆yand x=x+∆x

Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹

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Q: Find the domain of the rational function.

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Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: The conversion of temperature units from degrees Fahrenheit to degrees Celsius is given by the…

A: Given query is to find composite function.

Q: {(1, 2), (2, 5), (3, 7), (1,3)} {(3, 3), (4, 5), (5, 11), (6, 13)] 9. 10.

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Q: ver Series method, Solve the following - y ans: y=a. (1+2×) m

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: find the derivative of the function using the definition of derivative & state the domain of the…

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Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: 'm sorry the point is -3/2 (negative three halves) not -32

A: The Solution is given below-

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: 9-30. Finding area Determine the area of the shaded region in the following figures. V X y=x²-2

A: We have given to find area of shaded region  Region is bounded by two curves  y=x ........(i) y=x2-2…

Q: 27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0, show that the inequality u v ≤ |u||v|…

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Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

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Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: 12. Find the antiderivative of the following expression: sin (x)] 6sec (x) - 12cse' (x)] A. 6sec (x)…

A: Integration formula ∫ (cosec2xdx) =-cotx+c ∫xndx=xn+1n+1+c

Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

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Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of…

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Q: the properties of the cross product to ma following calculations. (a) ((j + k) × j) × k = (b) (i +…

A: We will find the required.

Q: Match each linear equation with its graph Equation y = x y = y = y = S || Graph Color G a. purple…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: When a temperature of a pot in a kiln is 1, 200°F, an artist turns off the heat and leaves the pot…

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Q: If f(x)=x²+4, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: Given query is to perform indicated function operation and simplify.

Q: Let f(x, y) = axy + ax²y + y³. (a) div(grad(f)) : = (b) Find a so that div(grad(ƒ)) = 0 for all x,…

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Q: Find dy if y=t² & t = √h and h = x² dx

A: Given data: y=t2 ,t=h and h=x2

Q: (c) 2e²x + 3xe* = 0,

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

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Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

Q: 333. f(x)=e* Inx

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Q: Determine the magnitude of the vector difference V' = V₂-V₁ and the angle 8x which V' makes with the…

A: We need to find v' and angle.

Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: Parameterize the line through P = (–4, −4) and (0, 3) so that the points P and Q correspond to the…

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