4. Multiply: 7(cos 15° 5. Using your answer 1/4.

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A:

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A: We need to find equilibrium point.

Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

A:

Q: Find the average value of f(x) cos¹ sin x on the interval [0, 3]. = Answer: 3-cos(1)/5

A:

Q: Suppose F(4)=-4, f(x)cos F(x) dz F(5)= 3, and F'(x) = f(x). 3 cos (3) +4 cos(4)

A: We can evaluate the given integral by using the substitution u= F(x).

Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

A: topic- definite integral

Q: 11. S x + 4 x² + 5x - 6 dx

A:

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

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A:

Q: wait so which option is the correct answer?

A: Solution:

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A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using…

A:

Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

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A:

Q: In AGHI, h = 9.6 cm, g = 9.3 cm and /G=109°. Find all possible values of ZH, to the nearest 10th of…

A: We have to find the angle

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y() = 0 O y = cos…

A:

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

A:

Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

A:

Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

A:

Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

A:

Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

A:

Q: Find the average of the given function on the given interval. (a) y = cos x, [0, 3π/2] (b) y = x² +…

A: a) y=cos x, 0, 3π2b) y=x2+x+1, 0,1

Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

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A:

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…

A:

Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

A:

Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

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A:

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: Given

Q: Solve the following first order differential equations, clearly showing all calculation steps dy…

A: Given that differential equations and we find the solution of this differential equations by using…

Q: (5) Σ.1 η=1 η! 102n-1

A:

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

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A:

Q: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of…

A:

Q: [ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1

A:

Q: Find an antiderivative F(x) of the function f(x) = 4x² - 6x +5 such that F(1) = 14. F(x)= (Hint:…

A: Solution is given below:

Q: d. State the equation of the vertical asymptote of f(x)=log, (x+1). e. Sketch a graph of f(x) = log,…

A: We have to find the asymptote of function and graph

Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = 6. N is the midpoint of BP. C is…

A: We have to find PB→ and prove that M,N and C lie on the same line.

Q: Calculate the area contained between the curve y = cos x, π<x< , and the line y =

A: Given:-y=cosx, -π&lt;x&lt;πy=1/2

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: There are three methods to find the volume of a solid generated by revolving a curve f(x) about a…

Q: Lecture 1: exercise solutions = sin(x) x² with an initial 1.ii. Use the Newton-Raphson method to…

A: The given problem is solved below in detail.

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: Given f(x) = sech (x) and below is the graph. Determine the domain and range for f(x). f -1 ii)…

A: Pu

Q: Complete the table after finding a simplified form of the difference quotient. 5) For the function…

A: f'(x) ={ f(x+h)-f(x)}/h

Q: Determine the equation of the hyperbola with center (−1, –4), a focus at (−11, –4), and a vertex at…

A:

Q: a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (−1, 2, 3) (i) Calculateu+v-W (ii)…

A:

Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: 21. Jo 0 dx (x + 1)(x² + 1)

A: