Q4 Solve the equation sin 40 = cos 30 within the range -180 <0S180.

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: 3. Find the indicated values. a) f(x) = x³, g(x) = 6. (f°g)(x)? b) f(x) = -2x + 1, g(x) = x², h(x) x...

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Q: cOS X -dx | sin? x

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: Calculate and at the points (7,41, 1) and (7,41, –1), where z is defined implicity by the equation z...

A: Given the equation z4 + z2x2 - y - 9 = 0

Q: 5dx If Verz+1= 2, what is the value of b? %3D A.) 2 B.) 4 C.) 8 D.) 9 A D B A

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Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

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Q: Find the slope of the normal line y^2=1-x^2 at point (2,1)

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Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2...

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: Let w(z, y, 2) = x² + y² + z² where z = sin(7t) , y = cos(7t), z = e'. dz dy dw by first finding dt ...

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Q: 1. Find the first derivative of the following. а. у%33x y = 3x² + 6 y = 2-1

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Q: From the graph of f, indicate the intervals on which f is continuous. 2 4 -8

A: The graph of a function f is said to be continuous in an interval if the graph runs continuously wit...

Q: LINEAR DIFFERENTIAL EOQUATION WITH CONSTANT COEFFICIENT (STEP BY STEP SOLUTION) d2x dx 3x = -9t² – 1...

A: The given differential equation is; 2d2x/dt2 - 5dx/dt -3x =-9t2-1. t=0,x=1,dx/dt=0.

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

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Q: State the property presented 10 + (4 + 11) = 10 + (11 + 4) a. commutative property b. associative...

A: Here is given that  10+(4+11)=10+(11+4)

Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: Given the differential equation y" - 4y' + 4y = - 3x2 e-5x Find the Differential Operator for the Le...

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Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: Use the limit definition to compute the derivative of the function f (x) = 5x- at x = 7. (Use symbol...

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Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

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Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 18*C, then, a...

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Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Use energy conservation equation.

Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

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Q: Test the series below for convergence using the ratio test. n + 5 22n+1 n=1 The limit of the ratio t...

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Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: Find the Interior angles of the triangle whose vertices are (-1, -3, -4), (4, -2, -7) and (2, 3, -8)...

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Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

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Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: Determine the direction in which f has maximum rate of increase from P. S(x. y. 2) = x²y/z, P =(-1,2...

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Q: Write the range in interval notation. Represent the gap with a "U". Find lim (secx) Find lim (secx)

A: We will graph the function and find out the range. 

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

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

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: y'' - 25y" = 8x7 Find the Differential Operator for the Left Side of the differential equation. A (D...

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Q: nd the vertical intercept, or intercepts, of the function v(t) given below. v(t) = 4|t – 5|- 12 your...

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Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Complete the table. lim f(x) 3 x→3 2 = -00 lim f(x) %3D x -00 2 4 lim f(x) -2 -1 0 5 6 7 8 %3D lim f...

A: Solution

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: Find the value of k so that the value of (2y – 1) dy is 10. ... 1 2 3 4 А) в В) с (c) A D

A: Find your answer below 

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

A: Topic = Volume

Q: In this calculus problem use the information in the graph thts ona separate attachment. a) whats...

A: Inverse function theorem(f-1)'(x)=1f'(f-1(x)) whenever f'(f-1(x))≠0

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: x² – 1 if x 5 | Given: f(x) = %3D 3

A: