y = 9x6 - 81x4 (Use symbolic notation and fractions where needed. Give your answers in the form of comma separated lists.) The critical point(s) at x = 0,-√6,√6 The point(s) of inflection at x =

Q: 27. Write an equation for the piecewise function graphed below. H toolkits. -5 -4 -3 -2 -] 5- + to 2…

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Q: 11. Determine the divergence or convergence of the following improper integrals and evaluate if it…

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Q: Identify the function represented by this graph. -5 -4 -3 -2 -1 5 4 3 2 -3 ✔ 1 2 3 4 5 x

A: Topic = Functions

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: ind the solution of the given initial value problem. y(4) 10y" + 25y" = 0; y (1) = 8+e5, y'(1) = 6…

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Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

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Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: Calculate the Taylor series for 1/x about 1. O 1+ (x + 1)(x-1) ²+ (x+1) ³-... ○1-(x-1) + (x − 1) ²—…

A: We know Taylor series expansion of 1/(1+x) is given by, 1/(1+x)= (1+x)-1= 1-x+x²-x³+x⁴-....

Q: In y=e³ sinx

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Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

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Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: The Integral xy√√x² + y² dydx is equal to 1 Select one: O /(2√2+1) //(√2-1) 15 O /(2√2) /(2√2-1) O…

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Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: Needing

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Q: b) […. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x²…

A: Given :y=-x2+9y=x2+1

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: (1 + 2.6) ² an = (1 +

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Q: Determine the following indefinite integral. dx X√ 625 + x 2 dx S- x√√625+x² (Type an exact answer.)…

A: We have to determine the indefinite integral ∫dxx625+x2.

Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

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Q: Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: Given ,  The Better Baby Buggy Co. has just come out with a new model, the Turbo The market research…

Q: Solve the equation for 8, where 0 ≤ 0 ≤ 2. (Enter your answers as a comma-separated list.) 2 cos²(e)…

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Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

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Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: Q4. Let R be the annular region lying between the two circles x² + y² = = 1 and x² + y² = 16.…

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Q: 4. Compute the total volume of the shaded area of the figure below where the cross-sections are…

A: We need to find volume.

Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: The series is divergent. Select one: O True O False n Σ (-3)" n=3

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Q: Question 1 [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy…

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Q: S x²-x +2 -X X³ + 4x -dx

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Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: If x > y and a are a negative real number, this always applies

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Q: 3 √√√x tan-¹ √x dx 1. 1 2. T 3. 3x² + 4x³ +16x² +20x+9 (x+2)(x²+3)² 1 12x+5x+3 4. 0 √ sec¹ x tan³x…

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Q: Q2. If F = (x² - y² + 2xz)ī− (2xz − xy + yz)j + (z² + x²), find the divergence of curl F and curl of…

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Q: -1.0 -0.5 π/2 2 r = 1 + cos 0 0.5 1.0 1.5 2/0

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Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

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Q: State the equation of f(x) if D = {x = R] x * f(x) f(x) f(x) f(x) = = = 2x+1 3x - 2 x + 1 3x + 2…

A: Topic = Functions

Q: Find the one-sided limit (if it exists). lim 11x² tan ex Step 1 The sign of the value of x² is…

A: To find the one‐sided limit if it exists.limx→12+ 11x2 tan πx

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: 2π tane 13-12cose de

A: We will find thw integral.

Q: What is the integral that represents the length of the curve from x 2 to x = 4. Select one: 4 ○ ₂²(1…

A: y = x4/4  length of curve formula  = ∫a b1+(dy/dx)2 here limit given from 2 to 4  a = 2  b = 4…

Q: What is the area of the region between the curves 3 y = x³ and y = x², from x = -3 to x = -1? Select…

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Q: Plz

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Q: The integrating factor of the given DE are already given below. What is the value of “n” ?…

A: We need to find n.

Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

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Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

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Q: question, show all steps so I can understand the problem Use the following property of the definite…

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