Simplify the lefthandside so that LHS = RHS: sin (b) sin (b) 1 + cos(b) || || || || 2 tan(b) 1 cos(b) = 2 tan(b)

Q: Consider the following function. h(x) = x-1¹/3(x-8) Find the derivative of the function. h'(x) = X =…

A: we need to find out the derivative h'(x).

Q: The line y=9x-4 intersects the quadratic function y=x2+7x-3 at one point. What are the coordinates…

A: Given query is to find intersection point.

Q: 2 x dy = (2x-yJdx

A: It is not clear whether the question is 2*dy = (2x - y) dx or 2x dy = (2x - y) dx So, here is the…

Q: Find the arc length of the curve below on the given interval. 4 + 1 8x on [1,2] The length of the…

A:

Q: Determine the maximum area of a rectangle inscribed in the ellipse include any units. Provide your…

A: To determine the maximum area of a rectangle in the ellipse x264+y281=1.

Q: Suppose that for a particular product, the number of units x produced per month depends on the…

A: We can solve the given problem by using the concept of derivatives.

Q: Show that the point of intersection of two lines in the plane of afield F lies in the plane of F.

A: Point of intersection:- The junction of two lines is referred to as the point of intersection. The…

Q: Evaluate the limit lim 9z+4 92²-62 +4 Question Help: Video Submit Question

A: Topic = Limits

Q: fiof)(x) =3 (3x+4) + 4 (2 X=4) +1 2

A:

Q: For the region bounded by y=x, the x-axis, and x = 4, determine which of the following is greater:…

A: figure:-

Q: 425 Consider a function f(x). The function has critical points at -- 5'3'7' and 2. The table below…

A: Given query is to find the the interval where f(x) is increasing.

Q: Use a table of integrals to evaluate the following indefinite integral. The integrals may require…

A:

Q: Consider the curve y = 22/12 x³ on the interval from x = 1 to x = t (A) Find the function for the…

A:

Q: The shaded region in quadrant I is enclosed by the circle x² + y² = 4 and the lines y = V √2 and x =…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

A:

Q: The standard form of the linear DE dy 4- dx is Select one: O True O False dy dx = 12cos(x) - 16x²y +…

A: To find standard form of linear D.E.

Q: Suppose that T is a linear transformation such that 12 T()=[5³] T ([-]) = [2²] Т -15 Write T as a…

A:

Q: 11 The sides of a cube are found to be 1 meter in length with a possible error of no more than 2 cm.…

A:

Q: Evaluate the integral by any method. x dx = / e 64 - e-2x FI +C

A: Explanation of the answer is as follows

Q: tons interval −4 < x < 2. For parts (b)-(e) use the graphs in part (a) and include a brief(!)…

A:

Q: Explain how you know that the exponential function has an inverse. Knowing the properties of the…

A: Let's check property of given function.

Q: f(t): = _¹{582 + 4) se **S/2 7+( ])u(t-[

A: Formulas we use: L-1e-asfs=F(t-a) for t&gt;a  where F(t)=L-1f(s)L-1ss2+b2=cosbtcos(2θ)=1-2sin2θ

Q: 8. DETAILS A rectangular storage container with an open top is to have a capacity of 101 in.³. The…

A: Here we have given a rectangular storage container with a capacity of101 in3. And the length of the…

Q: . If P(x) = 4x³-11x2 - 6x +9 is divided by x-3, what is the remainder?? b. 0 P(3) P(-3) d. a) and b)…

A:

Q: y" + 4y = sin ³x

A: We need to solve D.E.

Q: Let f(x) f'(x) = = f'(5) = 4x² + 2x + 2 (round to 3 decimal places)

A:

Q: he graph of f(x) is given below. On what interval(s) the value of the derivative f'(x) positive?…

A: Given query is to find the interval where f'(x) is positive.

Q: A laptop computer was purchased for $2000. Each year since, the resale value has decreased by 27%.…

A: Given that , P=$2000r=27%=27100=0.27 The Number of years = t Resale Value = y find the relationship…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an = 15 n=1…

A: By using the Ratio Test to  determine whether the series is convergentor divergent.∑n=1∞ n9n

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify ak Evaluate…

A: The given series is summation of 8/k!, k from 1 to infinity.

Q: Find the equation of the tangent line on the curve x² + y² + 2y = 0 at (0, -2). A B с D x=0 y=-x…

A:

Q: QUESTION 9 Given f(x) = x². Determine the minimum distance between the point (10; 2) and a point on…

A:

Q: Use spherical coordinates. Evaluate • SIS (x² + y²) dv, where E lies between the spheres x² + y² +…

A:

Q: (Define tangents and normals Find a the tangent and normal g y = x² - 6x³² + 2x² - lox+5x at (0,5)…

A:

Q: 1. The position of a particle on a line is given by s(t)= t³-5t² + 12t + 7, where t is measured in…

A: As we know that: The expression for the velocity is: vt=dstdt The expression for the acceleration…

Q: The function f(x) is approximated near X = 4 by the third degree Taylor polynomial P3(x) = 2 - 5x -…

A:

Q: A. Orthogonal Trajectory: For the family, x² + 3y² = cy, find that member of the orthogonal…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

A: f'(1) = 0  which means slope of function  is zero at x = 1

Q: Differentiate f(z) = <= COS f'(x) = Question Help: Video Submit Question (4z). Use exact values.

A: We can find the derivative using the required formula in the below steps.

Q: Find the arc length of the curve below on the given interval. y=2x³/2 on [0,9] Which of the…

A:

Q: if x ≤ 0 if 0 2 Use the definition for g to evaluate the following. Show work where appropriate. 1,…

A: Topic - Limits We are given, g(x)=1if x≤0(x-2)(x-1)if  0&lt;x≤23-xif x&gt;2

Q: Determine the values of a and b which would result in the function f(x) being differentiable at x =…

A:

Q: Work Problem solutions and justify your answers. 1) dy dx Write step-by-step Consider Bernoulli's…

A: We will use standard method to solve this.

Q: Your grandparents opened a savings account for you when you were 5 years old. They deposited…

A:

Q: Suppose the function y = f(x) is defined by an equation x² + y² + sin(xy) = 9. Given that f(0) = 3.…

A:

Q: For each of the following integrals, indicate whether integration by substitution or integratio 1.…

A:

Q: Plot and label the points being described and identify the coordinates of the points. B is 3 units…

A:

Q: (1) Evaluate Ĵxy sin y d4 where Dis where D is {(x,y): 0≤x≤ 1, 0≤ y ≤ ²}

A: Integrate as general

Q: Mark the critical points on the following graph. x³e-7,2 Те -5 -4 -3 -2 Clos ALL 10+ 8 6 4 2 -2 -4…

A: Please see the below answer.

Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y² + z² =…

A: Given Sphere is: x2+y2+z2=25 and Cone is : z=x2+y2