Find the equation of a cosine curve that is obtained by shifting the graph of y = cos(x) - to the left 4 units and - upward 3 units and - vertically compressed by a factor of 3 and - vertically flipped

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. g(a,…

A: Let's find.

Q: u = (-2, 0, -6), v = (-3, 7, 8) %3D

A: answer is in step 2

Q: Evaluate ſV7– x²dx

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Q: tan x dx sec x+4 cosx 5.

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Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: Let the region R be the area enclosed by the function f (x) = e® + 2 and g(x) = 6x + 3. Write an…

A: Given: f(x) = ex +2,    g(x)=6x+3

Q: VECTOR DIFFERENTIATION: If R = e^(−t) i + ln(t^2+ 1) j - tant k. Find: (a) dR/dt, (b)…

A: R=e-ti+ln(t2+1) j-tant k

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: x'sec'ydy – (1 – 2x²tany)dx = 0 %3D

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Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: (25-у? 5-х SŠ s *²+y²dzdxdy

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Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

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Q: Solve the initial value problem. d?r 2 dr = 5, r(1) = 4 dt2 dt t=3

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Q: Find the maximum value of the function f(x) =x² - 9x2 + 15x-5. Answer

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Q: what is the minimum value of f(x)=3x2-18x+25 a. -2 b. 3 c. 6 d. -18

A: Given  f(x)=3x2-18x+25

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: dx Assume that x= x(t) and y= y(t). Let y =x +4 and -5 when x= 1. dt dy Find when x= 1. dt

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Q: Determine whether each point lies on the line. x = -2 + t, y = 4t, z = 5 + t (a) (0, 8, 7) O Yes No…

A: topic - lines and points

Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

A: Given

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.

Q: sino Given that 0<0 < I 2, what is the exact value of sin(20)? 3 and

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Q: ................................................. Determine whether the lines intersect, and if so,…

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Q: Find a number within the interval [-5,5] such that the sum of the number and the square of one less…

A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

Q: Which of the following is equivalent to cos (60° + 0) + sin(30° + 0)? cos 0 + v3 stn e cos e O…

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Q: Which of the following expressions represents the height of a right circular cone having a slant…

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Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Select from multiple choice and fill in the blanks

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

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

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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