0 3 x√x² + 16 dx 2

Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: Solve the initial-value problem for x as a function of t. dx (t2-10t+24) dt SAN 1, (t > 6, x(9) = 0)

A: Use the separated the variable

Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: Given cos(8) = for << 플 thentan(0) = 3 +|m ○ -3 4 4

A: Given: cosθ=-35, π&lt;θ&lt;3π2 We are required to find: The value of tanθ.

Q: Find the equation of the line perpendicular to x = 3 through the point (-4, 7)

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: ate the me tegral, √ xy² xy² ds, C is the right half of the circle x² + y² = 4 oriented…

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Q: What is the approximate volume of the solid created when the region under the curve y = cos z on the…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 7y sin (2x)

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Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

Q: Given below are descriptions of two lines. Line 1: Goes through (-4,10) and (0,4) Line 2: Goes…

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Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

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Q: (ln(t))4 dt t

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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…

A: The cost function is, C(x)=3x2-10x+243

Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 tan³(x) sec(x) dx

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Q: The two forces acting on the handles of the pipe wrenches constitute a couple M. Express the couple…

A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j

Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…

Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

Q: f f(0) = - = sin(1-0) Sketch the graph of f(0) = -

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Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: e(4²)* + e* (4²*) (4)* + 4° dx

A:

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Find the Laplace tranform of the ff: 2x2

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Q: ∞0 (x+1)" n=1 Vn4n

A: Use the Ratio test

Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

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Q: 2. The normal line slope of f(x) = (a - 1)x² + 3x - 2 is GIN at x=-2, a=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 38. f(x) ex 1 + ex

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Q: 2. The table gives the values of a function obtained from an experiment. Use them to estimate f(x)…

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Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: Find the area under the line y = 4 - 2x bounded by y = 0 and x = 0.

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Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy —…

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Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: Determine the of the following equations. Simplify your answer fully. Use identities dx where…

A: Question 1,           fx=sin2x21+x2

Q: 4. Find the distance between the planes: 4x+3y-2z=20 and 4x+3y-2z=-11. a. Find any point P on the…

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Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: What is the complex number z = -3 + 3√3i represented in polar form? Enter your answer by filling in…

A:

Q: 10

A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

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Q: The subject is: PrecalculusThe general subject is: Introduction to Calculusand the specific subject…

A: Since you have posted multiple questions i can do first question as per our company guidelines…