x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t² + 2, then find dt dt Q9. Let f(x, y) = xe³y + yz + z³ and u = 2 i − 6j + 3k. Find Dfu at the point (1,0,1). =

Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

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Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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Q: Solve for the volume of a solid above the x-y plane and bounded above by the curve z = 3x2 + 3y2 and…

A: Given: A solid above the xy plane and bounded above by the curve z = 3x2 + 3y2 and laterally by…

Q: Find the "actual" solution (x,y) for the following problem. max_x2y² subject to 2x + y ≤ 2 x20,y20…

A: Given:    2x+y≤ 2 , x≥0 , y ≥0    Max - x2y2

Q: 3 a) Find the exact integer value of a for which tsin (at)dt == ft sin (xt) dt = -². where a1. T

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Q: Find and simplify each of the following for f(x) = 3x - 2. (A) f(x + h) (B) f(x+h)-f(x) f(x+h)-f(x)…

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Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

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Q: • S/2 csc²2x√√1+cot 2x dx TT/8

A: Given integral , ∫π8π4cosec22x1+cot2xdx

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: an ellipse has vertices (-10,-4) and (6,-4), and covertices (-2,-9) and (-2,1). find its standard…

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Q: projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: Data is given

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: B) Solve the following 3x -dx (x + 5)(2x - 1)

A: Topic = Integration

Q: Evaluate the line integral along the curve C. [(x+3y)dx + (x-y)dy, C: x= 2cost, y = 4sint, 0≤ts-…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Q: help

A: We will solve the problem.

Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

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Q: * Use the graph below to answer questions 7 and 8* The equation of the graph shown below is written…

A: This question can be solved using the concept of horizontal and vertical asymptote.

Q: B- The derivative is y = In (sec (In 8)) In 0 sec 0 O it is it's In 0 cos 0 an another answer tan…

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Q: (x2 + y2 + z²)5 = -23. Calculate əz/ax using implicit differentiation. O əzləx = x/z O əzləx = 2x/z…

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Write in Sigma Notation #3

A: Here we have to write the given sum in Sigma notation.

Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

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Q: y' x y+x²y ) y (0) = -2

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Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Given: Length of ladder = 50 foot Rate at which it is pulled, VC = 10 feet/sec

Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: Problem 10. Find the interval where f is increasing or decreasing, and find the loca maximum and…

A: Given problem:- Find the interval where f is increasing or decreasing, and find the local maximum…

Q: Let y = 5x³(x7 - 5) Calculate the derivative using the product rule. f(x) = and g(x) = which means…

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Q: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…

A: Given problem:- Given the function z  = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…

Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: If a < c < b and f(c) is the greatest value on the interval (a, b), then f(c) is a ....

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Q: Consider the level surface defined by the equation x² - y² + z² - 4xyz = 6, find the following: a)…

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Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: - be to your advantage to simplify first.

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Q: Solve the boundary value problem, if you have : 4y" + 3y = 0; y(0) = 1; y(n) = 0

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Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: Find derivative of the 6tanx following function d d.x

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Q: Function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A: We want to find the volume.

Q: 1. There are initially 95 mg of a decaying radioactive substance, and after 10 hours there are 68…

A: Given: Initial amount of the radioactive material= 95mg After 10 hours amount is =68 mgTo find: Half…

Q: A train which is traveling at 100 mi/hr applies its brakes as it reaches point A and slows down with…

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Q: D-the derivative is y = In Othe O is the (VW) 1 + Vē 1 0(√) 1 (1+√ē) O it O is 1 20(1+√ē) 1 0(1+√0)

A: Differentiation

Q: find fxe*dx

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Q: i) lim I-18 /976. T³ +1 Mar

A: Here is the solution:

Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0

A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…

Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

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Q: Given the function z = f(x, y) = 3x² +6xy + y² + 8y, find the following: a) Find gradient at (-2, 3)…

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