3 dx (e³x + 1)

Q: Given f (x) = 4x²-3x + 2. The slope of the normal line to this curve at the point (1,3) is O-5 5…

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Q: 1 好好 0

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Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1…

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Q: Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a…

A: If the tangent line of a curve at a point is vertical line then its slope is infinite.

Q: f(x)=(1+ 5x)¹/6; (0.95)1/6

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: 3 f(x) = x³ on on [0, 2]

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Q: f(x) = 0 x = 0. At what value of x is the function given above, discontinuous? Ox=3 x+2 x² −1 8…

A: We need to choose correct option.

Q: 1 S dx 1/2x² √√x² +4

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Q: Find and simplify each of the following for f(x) = 4x² -5x + 5. (A) f(x + h) (B) f(x+h)-f(x) (C)…

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Q: 4. Compute dx S in two ways and verify that the answers agree.

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Q: A.)Find the first five partial sums of the given two series and determine whether they appear to be…

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Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Question a)' b)'. : Evaluate the integral J ,: Show all your work. 3x-1 (x + 4)(2x - 1) . Evaluate…

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Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

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Q: ate ſ- dx 4x²+1

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: Given :Function : y=x7andy=x

Q: Complete detailed solution. What is the equation of the tangent line at x=1 of f(x)=1-2x

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Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: Given the vector function - r(t) = (t²- 4t)i + sin(2t − 4)3 + ( + ) Find the derivative of r(t). a)…

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Q: Suppose that a sequence {an} is defined by the equations 1 = Which of the following is true about…

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Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

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Q: f(x)=1/(1-3x); 1.08-1

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: x² 4+x² 2 dx

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Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

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

Q: lim x →∞ (bx+a)²(ax+b)² (ax²+bx+1)²

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Q: Find the moment of inertia about the x-axis of a thin plate with density 8=1 bounded by the circle…

A: Given: The density of the plate =1 The plate is bounded by the circle =x2+y2=16

Q: The area A = 2 of a circular oil spill changes with the radius. At what rate does the area change…

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Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

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Q: An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y'…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: ve the given init value problem. dy dx 3x²y + y² 2x³ + 3xy' y(2) = -3

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Q: Find the area of the shaded region shown in the graph. The area of the shaded region is (Type an…

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Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

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Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: Find h' (t) if h(t) = h'(t)= [] 5 1/3 2 3/7

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Q: - [5√3x d dx

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Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Complete detailed solution. What is the derivative of f(x)= 1 (2²-²-x) (-1+√x²) X x+1

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Q: Find the solution of the given initial value problem 50y" + 15y"+y' = 0, y(0) = -2, y'(0) = -10,…

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Q: For f(x) = 3x4-12x³ + 2 find the following. (A) f'(x) (B) The slope of the graph of fat x = -2 (C)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Use the graph to match the integral for the volume with the axis of rotation. (a) V R O (i) (ii) (b)…

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Q: 80 1 n+8 Does the series (-1) converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…