2- Find the equation of the tangents to curve given parametrically by Y= sin(x²)+1 at (x,y)=(√π/2,2).

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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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: Find and simplify the expression if f(x)=x²-12. f(4+h)-f(4) f(4+h)-f(4)=

A: Given problem:- Find and simplify the expression if f(x)=x2-12.   f(4 + h) - f(4)

Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

Q: 40 for the function below, the domain and the range is respectively y=√16-x²

A: Given problem:- for the function below, the domain and the range is respectively   y = √(16 - x2)

Q: 5. Use the Squeeze Theorem to evaluate lim sin z 2 1-00

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find and simplify the expression if f(x)=x²-11. f(4x)

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Q: 23 34 3- prove that w = ww if w = xy? + x³y³ + x'y³ W= ху ах' ду

A:

Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: PMT is Maximum Monthly Payment = 3,504 i = 3 n = 30

A: By using given formula

Q: 4-If B=(2,-2) and C=(5, 8). Then, B.(2C) equal: a) 12 b) -12 c) √12 d) 1/12

A:

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: 5) State the intervals of concavity in the function g(x) = (x-9) 25 2/3

A: Topic- concavity of a function

Q: - 3x² + if x 1 a. Determine the value of a for which g is continuous from the left at 1. b.…

A:

Q: Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2).

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Evaluate the double integration: e²x e dxdy

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

Q: Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: e three terms of the expansion for √1+x to calculate the value of 1.4996. ... 1.4996= Do not round…

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Q: 小 7) In x √x - dx

A: I have stated the used formula in the solution

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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

Q: The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º…

A: We want to select the correct option.

Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

A: Given :y''-2y'-3y=5cos2t

Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x² cos(167x) = 0.…

A: Let's solve limit problem.

Q: Find the roots of the differential equation: y" +4y' +6y= 0

A: See the details solution in below

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: Answer: y = -√2 sin x + 3 # Find the particular solution, y = f(x), to the differential equation dx…

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Q: Find dy/dx | V(r) =Y/ Tir ³ 3

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Q: 1 Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Given problem:-

Q: Answer: -x sin(x²) # COS X Find the particular solution, y = f(x), dy to the differential equation…

A:

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

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

A:

Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

A:

Q: What is the divergence of the vector field F of F(x,y) = x² i + 2y²j?2 div F = 2x + 4y div F = 4x +…

A: Given: F→=x2i+2y2j

Q: || y = = x²-1 x²+x-2

A: Given

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (x + h)3 −…

A: The given limit,      limh→0x+h3-x3h

Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

A:

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: C- for the function below, the domain and the range is respectively y=√16-x²

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Q: QUESTION 2 1. The sketch shows x)- asinx for [-90%,270"] 31 1.1 Determine the value of a 1.2 Sketch…

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Q: Under certain air conditions, the air temperature drops about 3.9°F for each 1,000-foot rise in…

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Q: Q1 Find the value of x, y, z if the matrix 0 2y Z A = X y -Z x -y Z satisfy the equation ATA = 1. 6…

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Q: Consider the following graph y = p(x) and answer the questions which follow. P 3+ 3 -3 & -3+ a.…

A: topic- limits and derivatives of a function

Q: For f (x) = x2 −2x + 5, find its derivative by using the formal (limit) definition of the derivative

A: We have to find derivative using definition

Q: Evaluate the given integral by using three terms of the appropriate series. 0.9 S sin x²dx 0

A:

Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

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

Q: 2. For the following problems, determine the area of the region between the two curves in the given…

A: The simple integration..