4 cos ' (sin (ax t)

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: Find an exponential function of the form P(t) = Pon that models the situation, and then find the equ...

A: Given Tripling time = 4 months Initial population P0=4000 Exponential functionPt=P0ntT

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

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Q: Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y ...

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Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: sin2x C. Evaluate lim- using table of values. Let x takes on the values 1.5, 0.8, X-0 0.5, 0.2, 0.03...

A: Given:limx→0sin2xx

Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

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Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: 2 Complete the following sentences. a. The one-variable linear equation 13x + 6 = 13x + has infinite...

A: Note that, the infinite solution to the one variable equation of x means for any value of x the equa...

Q: 6. Use transformations to graph the following function. g(x) = -13 – x| + 5

A: Solution is written in below steps.

Q: Each of the following definite integrals are improper. Determine which converge and which diverge. F...

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

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Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the...

A: We are asked to  draw the graph.

Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

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Q: (2x³ – 3x²y + y³)ª = 2x3 – 6x²y + 3xy? dx

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Q: The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolut...

A: Given'    z = 1/2 y2 + 3     Limits: 0≤y≤3

Q: Determine the values of a, b, and c for the function f(x) = ax² + bx +c, that satisfy the following ...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: Part (c) Consider the initial value problem dy (t – 2)(t + 3) dt + (t – 5)y = tª + 1, y(-1) = 7. Det...

A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ;       y(-1)=7

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

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Q: ずx 1

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a f...

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: ,if x>2 Find the correct value of bb that makes

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 5 sin 2x y(x) =

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Q: SI S X+4 dx x2-16

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Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

A:

Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of poi...

Q: the iner tind the area bound and the y-axir in the Firt quadrant.

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Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

A: Given that: Points are: (6, -3, -2) and -23,23, 1

Q: 5. Using the FOUR-STEP rule in evaluating derivatives, find dyldx in each of the functions given bel...

A: Using the Four‐Step rule in derivatives, to find dydx in each of the functionsgiven below.j y=xx-1k ...

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:...

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

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Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative