S sin 2x sin 4x dx 7.

Q: Evaluate ſV7– x²dx

A:

Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: vo Variables 4)dr + (2r. (2. 4x)dı

A:

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

A:

Q: y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry, region/scope, asymptotes, critical…

A:

Q: Several statements about a differentiable, invertible function f(r) and its inverse f-(z) are…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

A:

Q: When an object is located a distance of x feet from the origin, a force of x2+3x  pounds is acting…

A:

Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: a) Find the degree 4 Taylor polynomial T(x) for the function f (x) = 2e" centered at the point a 3.

A: Given that fx=2ex  centered at the point a=3we defined the nth taylor polynomial centered at x=a Tn…

Q: The shaded region shown below is bounded by the functions f(x) = -4x? + 10 and g(x) = x + 6 and the…

A: area

Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=<-9,-3,-7> and v=<-4,-5,-1>.

Q: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

A:

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

A:

Q: Let the region R be the area enclosed by the function f (x) = e® + 2 and g(x) = 6x + 3. Write an…

A: Given: f(x) = ex +2,    g(x)=6x+3

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A:

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: wo boats leave a marina at the same time. The first boat travels 8 knots at a bearing of N24°E, and…

A:

Q: Jse the cylindrical shell method to calculate the volume of the solid Formed by rotating the graph…

A: Please refer to the image below

Q: Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113°…

A: Find your answer below

Q: 12 dx Evaluate the integral: (9+3x)3 63 1. 36 1. 99 None of these 72

A:

Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

A:

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

A:

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32)…

A:

Q: Consider the figures below. (1) (2) 5- 4. Use the rectangles in each graph to approximate the area…

A: Solution is here

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

A:

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

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

A:

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

A:

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated poi…

A:

Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

A:

Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A:

Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

A:

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X→ー0 2x4 +3x +2 f(x) =…

A:

Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

A:

Q: The integral of the given function ſ**-16) x3 3/2 dx is

A:

Q: Differentiate. 12 f(x) = 17 f'(x) =|

A:

Q: (b) If a > b and c > 0, then ac > bc.

A:

Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

A:

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…