34. If f is the function defined by f(x) = (A) 0 (B) (C) / (D) nonexistent O A О в О с O D ²+x-6 then lim f(x) is -2

Q: Consider the curve defined by x² + xy + 2y² = 8 dy (a) Use the formula for implicit differentiation…

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Q: Directions: Consider the following function f(x). f(x) = 3x³ - 5x Part 1 - Difference Quotient If h…

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Q: Use the function and the accompanying figure to answer the following questions. a. Is f defined at x…

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Q: 1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

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Q: Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

A: Given lines:- l1:r→=4,-2,-1+t1,4,-3 l2:r→=7,-18,2+u-3,2,-5

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

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A: The objective of the question is determine the value of price , units and fill the boxes.

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

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Q: y = sin (3x)

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Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: A differentiable function f(x, y) has the property that ƒ(4, 3) = 6 and fx (4, 3) = 6 and fy(4, 3) =…

A: Given; f(4,3)=6, fx(4,3)=6, fy(4,3)=3.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 9. For each set of equations (part a and b), determine the intersection (if any, a point or a line)…

A: I am attaching image so that you understand each and every step.

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

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Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: The objective of the question is determine volume of the given bounded curve.

Q: For the constant numbers a and b, use the substitution a = a cos² u + b sin² u, for 0 <u<, to show…

A: Given data:- x=acos2u+bsin2u ∫dxx-ab-x=2arctanx-ab-x+c

Q: Use E-N verification to prove that - →>>> O as n. Vn

A: the answer is in step 2

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 2. Evaluate the following limit (tabulate). 4- x² lim x+2 3-√√x² + 5 O None of the choices. O 0 O It…

A: limx→ 24-x23-x2+5

Q: (3y2+5x2) dx dx + 2xydy=0

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Q: Find the value of (fog)' at the given value of x. f(u) = 2u u²+2 u = g(x) = 4x² + 3x +2, x = 0 1…

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Q: Find the derivative of the following function. f(x) = − sinh 36x f'(x) =

A: Finding f'(x)

Q: How can you find the slope of a line which passes through two points with only the given…

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Q: Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one…

A: Given query is to find the value of x.

Q: PROBLEMS A. HE POSTED F(x) = x² +3 X a) Solve wing quotient rule. b) manipulate the function…

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Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: The volume of a cone is given by V = 1 * Pi * r^2 * h/3, where r is the radius of the base and h is…

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Q: d²y Find when ax + cos(by) = c, where a, b and c are constants. dx² (a) - a²csc² (by) cot(by) 1…

A: ax+cos(by)=c

Q: A ship is moving at a speed of 15 km/h parallel to a straight shoreline. The ship is 8 km from shore…

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Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

Q: Degree 4; zeros: 5-2 i: -3 multiplicity 2 a represent the leading coefficient. The polynomial is…

A: Given query is to find the polynomial.

Q: √√2 7. So 0 dx √ 2 4-x²

A: We need to find out the integration.

Q: A line passes through points A(3, -1, 4) and B(2, 0, 5). 7a) Write the parametric equations of the…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: The region R is bounded by the curve y=x, y=0, and x=49 We have to find the volume of the solid…

Q: 9-x² x 3 7₁ x=3 b. Find lim f(x) and lim f(x). X-3* X-37 c. Does lim f(x) exist? If so, what is it?…

A: On solving this we will get

Q: π π Let f(x) = sinx, -2 ≤x≤ and g(x) = cos x, 0≤x≤. Find the exact value of the composite function.…

A: Now here,         We have given two functions and we have to find the new composite function as…

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Find the general solution: sin 2x tan² x y

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Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: Let f(x)=xsin(x)/1+x. Find f'(pi/2).

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

Q: original variable. (4)/2√2-1 (a) y³ (b) √ (y² + 1)³ dx dy (c) (d) [²v S Cπ/2 ¹ √1+e-x ex π/4 cotx dx…

A: The objective of the question is evaluate the indefinite integrals .

Q: Question 21 If f and g are inverses of each other, which of the following statement/s is/are…

A: Topic = Functions Correct option = D

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 scalar equation of the line = (-3,4)+1(4,-1)

A: Given query is to find the scalar equation of the line.