S dx (x²+2x+10) ²

Q: (D4 - 1)y = 7x².

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

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Q: Prove lim x-a 4x 4a, using the ɛ, 8 definitions of limit.

A: The given limit,   limx→a4x=4a

Q: Write the equation of the circle centered at (1, 10) with radius 3.

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Q: Find all the second partial derivatives. f(x, y) = x³y² + 6x^y fxx (x, y) = {xy(x, y) fyx(x, y) (xin…

A: We want to find second order partial derivatives.

Q: f(x) = 8x7 4 f(x) = X5

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Q: T(n) = (n − 1)!

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Q: Find the area of the region described. 4 1 The region bounded by y = and y = - 1-x 2

A: To find the area bounded by the curves y=43&y=11-x2. The region bounded by the curves is:

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​…

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Q: Find the arc length of y = 26² + O 7/12 pi O 17/12 O 7/2 pi O Not in the choices O 17/2 2+2 for for…

A: To find the arc length of y=x36+12x for 1≤x≤2.

Q: S 3x+1 -dx x²-x-6 2

A: We know, ∫ dx/x = ln|x|

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

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

Q: S 3x+1 - dx x²-x-6

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Q: s shown in the required reading or videos ove that the harmonic series below diverges ithout using…

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Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

A: Given :  A piece of cardboard measuring 14 inches by 9 inches is formed into anopen-top box by…

Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the…

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Q: Let f(x) be the function 5x² - 7x + 6. Then the quotient f(5+h)-f(5) h can be simplified to ah + b…

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Q: Find the number in the interval [0,3] such that the difference of its square from its cube is the…

A: Given problem:- Find the number in the interval [0, 2/3] such that the difference of its square from…

Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

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Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

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Q: PROBLEM NO. 8 GIVEN: f(x)=2x52x² +10x + 2 = 0 Using NEWTON'S METHOD, determine new estimate after…

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

Q: Differentiate f(x) = f'(x) = 2 ax with respect to x. Assume that a and k are positive constants. k+x

A: To differentiate fx=ax2k+x with respect to x. Assume that a and k are positive constants.

Q: g(x)=x-bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: We have to solve given Questions.

Q: Compute the following limit. 1-cos(z) as x approaches 0

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Q: Question 9 Evaluate: lim1 (3-2x)tan (37) O e O None of the choices 01 e 3r O ∞

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Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

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Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

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Q: 3. Let R be the region below bounded by y² + x² = 9 and (y-2)2 + x = 1. (0,3) (a) Set up a (sum of)…

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Q: Example 12: Sketch a graph of the function f(x) = x¹ = 4x³ + 10 using the following steps. 32 (a)…

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Q: J 6x x +3 dx

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Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

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Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

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Q: 1. f(x) 2. f(x) 3. f(x) = = x² 12x-3 2x+9 3x+4 x²-16 x²+4x-20

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Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

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Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: Determine the critical points of f(x) = er³-2x²-7x Ox=-2 and x = 55393 O There is no critical point.…

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