How does the partial derivative relate to the limit of a function of two variables?

Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

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

Q: 3. fx²4 dx 5. dx 3x² + 1 +x dx u= U= U= du = du = du = answer: answer: answer:

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Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: 1 7. If {F(t)} = (-5)3, find F(-1). (s-5)³ A. es B. 4 2e5 8. Which of the ff. series is convergent?…

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Q: A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin…

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Q: Select the domain the function below f(x)=√x All real numbers O Non-negative real numbers O…

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Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout. Water weigh is…

Q: 4) Suppose that the level curves of a function z = f (x, y) consists of straight lines. Must the…

A: Explanation of the answer is as follows

Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: We are asked to find the workdone of the chain

Q: Determine its amplitude, period, and midline. Consider the function f(z) = 2 (cos (z − 3) + 3).…

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Q: 2): The side of a cube decreases at a rate of 6 m/sec. Find the rate at which the surface area of…

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Q: The​ half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the…

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Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

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Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: Given

Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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Q: aw Q/Find for wear sin ¹ p əx p= sin x q = z² ln y r = at (x, y, z) = ( 1 Hint: √ √1-x² -sin-¹ x =…

A: Given :w=eqrsin-1pp=sinxq=z2lnyr=-xz2

Q: 5. √₁²x³ dx

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Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

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Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,] with a…

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Q: A) Find the value of the following limits: x-²-2xy + y² (1) lim (x,y)-(2-3) √x - √y² (3) lim…

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

Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: 9. The volume of inflated beach ball is about 2423 cm³. What is the diameter of the ball?

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Q: Example For alternative optimal solution Min 3x₁ + x₂ s.t x + 2x2 14 -x₁ + x₂ FI 22 ۱۲/ 2,9x270

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Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: 9) A store sells portable MP3 players for $100 each and, at this price, sells 120 MP3 players every…

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Q: Find the volume of the figure. Round to the arest tenth if necessary 12 in 13 in.

A: Given query is to find the volume of the figure.

Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: y+2y+y=sin x-4e™.

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Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

A: For given statement

Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

Q: 4. The top ten state populations, in millions, according to the 2010 Census, are shown in the table…

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Q: You may use a table of Laplace transforms in order to answer the following questions. a) Find L[5]…

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Q: The domain of the function in interval notation is Part 2 of 2 The range of the function in interval…

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Q: Eliminate the parameter t to find a Cartesian equation for X = 3-t = Y - 13 - 4t The Cartesian…

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: √x-2 X-4 Evaluate lim X-4 using the following table of values. X f(x) 3.9 0.251582341868501 3.99…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Sketch the set of prints determined by given Condition 러니 12-util =3 -i

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Q: 5X 100 e 2x 구 + x)dx 3 e3x

A: