3 7 Scot³x c₂c²³x dx - esc X

Q: Identify ALL the Indeterminate forms involved and determine the limit of: lim, 0+ (cos(x))*

A: We know that               cosπ2-x≤1=cosπ2-xx≤1x So, bt squeeze theorem,               limx→…

Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: What is S (x² + 2x)² dx? + x³ + ³x² + C 4 S (x² + 2x)²dx = ¹x¹ + x³ + 4 f (x² + 2x)²dx = (x² + 2x)¹…

A: We know, ∫xndx= xn+1/(n+1)

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: 50° 60° 70° ?

A: To find the measure of the unknown angle in the following figure.

Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

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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 +…

Q: Identify and sketch the graph of y=x² + 1 in R³.

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

Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

A: Let's find equation of tangent line.

Q: . x + 3y = y² + 4 A. 18 3-2y B. 3-2y C. 1 2-3y D. 1 2-3y

A: As you are asked multiple questions but as per our guideline we can solve only one. Please repost…

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

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Q: If lim f(x) = ·∞ then which of the following is true?

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Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y — y³ dx 2x + 3xy²…

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

Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: Identify and sketch the graph of y = r²+1 in R³.

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Q: Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: Convert ₁(4-4x²-y2)dyda into a triple integral with dV = dydzdx.

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Q: 2² (9-82ja 9-1² 9. S dt

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Q: 30 Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph…

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Q: For x² +4²³-1=0, find the targent at (3,-2)

A: We can solve this as follows:

Q: A water tank is in the shape of an inverted cone. The cone is 8 ft tall and 8 ft wide at the top.…

A: Given a cone of 8 feet height and base has a diameter of 8 feet, the cone is inverted. To find the…

Q: xdx+sin y ४ (vdx-xdy}=0

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

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Q: Evaluate the given limit. Show your complete solution. limo(-x ln(sin(4x² - x)))

A: Let's find limit of given function.

Q: x-2x +x= 15; x (0) = 7, x (0) = -16

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Q: xy lim (x,y)->(0,0) x² + y²

A: We need to write down that the limit exist or not.

Q: 7 For what value of k are the vectors u Select one alternative: Ok=-1 Ok=-2 Ok=1 Ok=2 (1,-1,-1) and…

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Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Please see the below picture for detailed solution.

Q: Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph of,…

A: To find the gradient of the tangent line of the point (5,1) on the graph of x+xy+2y2=12 Formulae…

Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

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Q: The domain for the function y = all real numbers except 3 and 0 ○ {x/x > 3} O less than 3 except 0…

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Q: Considering a continuous function f(x) = 2e³-¹ – 2x, which is true about the relative extrema of f?…

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Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Please see the below picture for detailed solution.

Q: 6 + 5 4 3 2 H -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + The graph above is a transformation…

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Q: dx X २ Assume that x and I are differentiable functions of t, and 3xx -x ³² + y² = @ 3 Find dx (xc)…

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Q: Determine a root of f(x) = 2* +3 cos(x²)-2 with 10-3 accuracy.

A: Given :f(x)=2x+3cosx2-2

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: Here we have to find whether the given graph is continuous or not.

Q: Give the general equation of the plane containing the point (3,-1,4) and 2-2 -3 4. | perpendicular…

A: given plane pass through the point(3,-1,4)

Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: 5. Identify and sketch the graph of y = x² + 1 in R³. M

A: y=x^2+1 x=0 y=1 x -3 -2 -1 0 1 2 y 10 5 2 0 2 5

Q: Given w= y² arctan(xyz) + 2x ln(xz). Determine მყ მთ = y + 2y arctan(xyz) + 2x ln(xz) = y[2…

A: We can solve this as follows:

Q: The figure to the right shows the velocity, v (in feet/second), of a runner for 0 < t < 15 seconds…

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Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.04x² - 5x+6x0.3 |_ -4800.…

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Q: Which of the following is the vector equation of a plane that contains the line y+2 *5³-22-3¹ and…

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Q: Find the second order partial derivatives, a'z for the following equation дхду z = x cos y - y cos x

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