Use the angle in the unit circle to find the value of the three trigonometric functions below. 1 2 Enter the exact answers. sint= tant sect

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

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Q: 3. √ √1 + x² dx

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Q: Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the…

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Q: 1. Determine the equation of the tangent line to the graph of f(a) = [² pr+sin r = x = 0. cos (t² +…

A: Above equation of tangent is given.

Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

Q: àtics II, e the caraid Q3) By using the polar find region enclosed by y = x² and y = 1 Find the

A: Let's find region enclosed by curve and given line.

Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

A: To Solve: Solution of ODE

Q: Marksberg radially has a population density of 1000e^−0.01r2 people per km^2, where r is the radius…

A: Here we have to find the population within 5km.

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Here we have to solve this problem by using newtons law of cooling.

Q: Find the Taylor series centered at c = -1. f(x) = e4x Identify the correct expansion. 42-4 -(x + 1)"…

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Q: dx (x² +25)3/2

A: To find the integration.

Q: 1-u y= 1+ u u=1-x²

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Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: Evaluate this integral:  ∫ 1 to 5 of (4t^(4/3)i+(t+5)(√t)k)dt

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Q: 4. Evaluate the double integral: L Lates y¹/3 x² 27 +1 (Hint: Change the order of integration to dy…

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Q: S- tanh e cosh(z) – sinh(z) -dz

A: Let's evaluate given integral.

Q: Let R be the region in the first quadrant bounded above by the parabola y = 4 x² and below by the…

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

Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y)-(0,0) 2x² + y² 2) (x, lim y)-(1,1) x+y x² - 2xy…

A: Concept: Here we have given multivariable limits  To find its limit first use direct substitution…

Q: f (x² + 1)e-x dx

A: Given problem:-

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: 2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu-…

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Using integrating factor make equation exact

Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

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Q: 15. Evaluate [sin50 cos²0de. COS

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Q: Given the region R on the right, a. Using vertical strip, SET UP the double integral that will solve…

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

Q: 4) A projectile travels at a velocity of v(t) = 45-32t, where v(t) is measured in feet per second.…

A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

Q: 1 S² = y e2y dy

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Q: ar the function A whose graph is shown, state the following. (If the limit is infinite, enter 'n'…

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Q: Q4) Prove that dx 1+ 2 sin x In tan x 2 tan X + 2√√3 +2 + √√3

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Q: Use Stokes' Theorem to find the circulation of F = 5y + 5zj+2ak around the triangle obtained by…

A: We have to find the circulation of F→.

Q: x² tan-¹x dx

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Q: Prove the following using the principle of mathematical induction. For n > 1, 1 1 1 1 = + + + 54 ( –…

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Q: Stan77x dx

A: tan2x=sec2x-1

Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

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Q: F(x, y) = 6xyi + 3y²j is a conservative vector field.

A: Given :F(x,y)=6xyi+3y2j

Q: Q4: A) For each of the following ,find fx fy fax fy fyx and fry 2.f(x,y) = sin²(x-3y) 3.f(x,y)=√√(x…

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Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)

Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: Find the solution of the given initial value problem in explicit form. 7x y' = , y(0) = -9 y + x²y…

A: In this question, we will solve the given IVP.

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

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Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=c-xªy¹/a (6) z² = =…

A: Use charpit method

Q: Matching Type. Match the functions antiderivatives in Column B. Column A 1. f(x-4)³dx 2. f(x + 1)³dx…

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Q: 41+x+x² x² 2 - dx

A: Given ∫241+x+x2x2 dxTo find the value of intrgral:

Q: 4 x dx Y 3- SSin X

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Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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