m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area changing when the radius of the balloon is 2 m. hr At what rate is the

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Q: -Reduce the equation to its ordinary form using rotation and translation of axes

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Q: Which of the following represents the symbol for the indefinite integral? S dx dy b a Σ

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Q: 5. Based on sales data over the past year, the owner of a DVD D(p)-40-2p where D(p) is the number of…

A: answer is in next step.  Since you have posted a question with multiple sub-parts, we will solve…

Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: Given: f(x, y, z) = e¯ª sin(yz) Find: ² f(x, y, z) əyəx O z cos(yz) et O cos(yz) e O-ze-* cos(yz) O…

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Q: 5. 1-cos2y 1+cos2y dy

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

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Q: 口 38 Which one of the following equations describes the tangent plane to the curve, f(x, y) =…

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: Question 2 (a) Find the derivative of the function. x3 F(x) = sin(u²) du (b) Find the area of the…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: To find the hight change.

Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

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Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1

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A: Let's find limit of the function.

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Q: ii. Given g(x)= x²+5 if x<-2 3-3x if x2-2 Find the following: 15 d. g(-2)= e. Determine with an…

A: gx=x2+5if x&lt;-23-3xif x≥-2

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

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Q: Solve the problem using implicit partial differentiation. Show your complete solution. No shortcuts.…

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Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: dx What is where dy' 3 x³ + y³ = 3xyusing implicit differentiation? dx y- dy dx = dy y²_ dx y+x² =…

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Q: What is the lim [(ln(2x - 4)) - (ln(x + 3))] 818 ? If your answer is a Whole Number Fraction (+)…

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Q: Identify ALL the Indeterminate forms involved and determine the limit of: limo+ (cos(x))"

A: See the answer below

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Q: Give the solution for Product rule, quotient rule, general power rule 5 8-ax y = 8 + ax/

A: Here we have to use the product rule, quotient rule and general power rule.

Q: What is the lim_0+ 2²-In(x) For answers write... that are in decimal form and round off to fractions…

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Q: Evaluate the line integral F(x, y, z) = (x,-z, y). Jo F. dr where C is given by r(t) = (2t, 3t,…

A: We will use concept of parameterization to solve this.

Q: Let f(x) = Bx2 + 6 t where Bis a constant. If the slope of the tangent line to the graph of f at æ =…

A: f(x)=Bx2+6sqrt(x).

Q: 1) lim (tan x) cos x X-2

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A: answer is in next step.

Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

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Q: The graph of } = xe-r is symmetric with respect to the Origin None of these the x-axis the y-axis

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