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Q: Consider the function given by ?(?) = 18x^2 ...

A: f(x)=18x2(2x-9)2The x- intercept of f(x) is for which value of x , f(x) will be zero.

Q: Use logarithm differentiation to find day/do for the function

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log propertieslogy=log(x3+5)-loge2x-12l...

Q: Your local nursery is running a special on mulch, $40/yd3 with delivery. Determine how many cubic ya...

A: Given, Cost of mulch = $40/yd3 Cubic foots that will be needed for the mulch = 35.0028 ft3 we know t...

Q: 5. Evaluate the following derivatives. (a) y" where y = x7 + 3 ln(x). %3D

A: a) find y''' where y=x7+3ln(x) First we need to find first derivative with respect to x use power ...

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the pa...

A: Given: x = cos(θ) + sin(4θ) y = sin(θ) + cos(4θ)

Q: (a)(2e−1,2e) (b)(e−1,2e−1) (c)((e−1)/2,e−1) (d)(0,(e−1)/2)

A: Given: f:12,1→R It is a differentiable function such that ...

Q: Find the derivative of the function.

A: Click to see the answer

Q: Can someone show me how to get the answer

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Q: Find the curvature K of the curve at the point P. r(t) = 1/2t2i + tj + 1/3t3k, P (1/2, 1, 1/3)

A: The curvature is given by kt=r't×r''tr't3. Given that rt=12t2i+t j+13t3k. Obtain r't as follows. r't...

Q: ) This problem will lead you through the steps to answer this question: A spherical balloon is being...

A: As per the data given, the second picture continution is the first picture.

Q: 8. ( Consider the curve defined by the equation y" = 529. %3D Use logarithmic differentiation to fin...

A: Click to see the answer

Q: Find the equations for the two distinct tangent lines to the curve y= x^2 that pass through the poin...

A: Consider the given curve: y=x2 Here, the objective is to find the equations for the two distinct tan...

Q: Evaluate the expression log3(log8 8) without using a calculator. If evaluation is not possible, stat...

A: Click to see the answer

Q: How many meters did the leaf travel per minute

A: Given leaf traveled 140 meters in 4 minutes To find meters traveled per minute

Q: The supermarket's cola products cost $16.20 per case of 24 bottles. They sell 3 for $13.00. What i...

A: Given, The supermarket's cola products cost $16.20 per case of 24 bottles. Therefore, the cost of pe...

Q: A projectile is launched with an initial speed of 220 feet per second at a height of 4 feet and at a...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is ...

A: Click to see the answer

Q: Find the distance between the two points (2, 0.5), (7, 1.2) in polar coordinates.

A: Here, we have given two points in the cartesian coordinate system (x, y). So, r1=x2+y2=22+0.52=4+14...

Q: Find the particular solution. y' = ex − 2; y(0) = 7

A: Click to see the answer

Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: 2) Y=2- IxxY =O, X =0, X - 1 2 Sketch the reqion.

A: Click to see the answer

Q: Find a formula for the nth term of the sequence:

A: As per bartleby expert policy, only one individual question is to be answered.

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are 1...

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the ...

Q: Can someone show me how to solve this exercise?

A: Consider the given: dV=π∫abR2−r2dxx4=1x=1,−1a=−1,b=1V=∫−11π4−x42−4−12dxV=∫−11π4−x42−32dxV=∫−11π4−x42...

Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B) 10...

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5 =15x7+7x-45ddxx7+7x =15x7+7x...

Q: Calculus Question

A: Click to see the answer

Q: Evaluate the trigonometric function csc π at the quadrantal angle, or state that the expression is u...

A: given: cosecπ we know that cosecθ=1sinθ

Q: In Exercises 1–10, assume that T is a linear transformation. Find the standard matrix of T.

A: Given that T:ℝ2→ℝ2 is linear transformation such that T rotates the points about the origin through ...

Q: The area on the first quadrant bounded by the parabola x2 = 8y, x = 4, and the x – axis is revolved ...

A: the area on the first quadrant bounded by the parabola x2=8y, x=4, and the x axis is revolved about ...

Q: The Gymnasium in Colegio de San Juan de Letran, Manila. is a whispering chamber. Its dimensions are ...

A: Given : Dimensions are 56 feet wide by 106 feet long center is at (0,0) Draw an ellipse with center ...

Q: A point on the terminal side of angle θ is given (-4, 3).Find the exact value of each of the six tri...

A: Given point on terminal side of angle θ is (-4,3). x-coordinates of given point is negative and y-co...

Q: Use the rules of differentiation to find the derivative of the function y=x18

A: Given Data : Function y=x18 To Find : Derivative of y=x18 Apply the Power rule of Differentiat...

Q: If θ lies in quadrant III______, and______ are positive.

A: Click to see the answer

Q: Evaluate or simplify the expression without using a calculator ln 1.

A: Given: ln1 we know that lnx=0, if x=1 always so, ln1=0

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of e...

A: Slope tells how fast the dependent variable changes wrt the input variable. slope(m) of a function f...

Q: Set up the triple integrals for finding the mass and the center of mass of the solid of density boun...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point. ...

A: Given that a hot air balloon is rising vertically is tracked by an observer located 7km from the lif...

Q: Evaluate the trigonometric function cos(3π/2)at the quadrantal angle, or state that the expression i...

A: The given expression is cos3π2.

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight tow...

A: Let AB represents the distance from the spot light to the bottom of the wall which is 12 m. Let heig...

Q: How do I find the derivative at the 4 places where x=1

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv...

Q: 2) Let p(x) =-3(x-2)²(x+3)(x+1)³. 2a) Compute the y intercept of p. 2b) List the zeros of p and dete...

A: ACCORDING TO BARTLEBY GUIDELINES SOLUTION OF FIRST THREE SUBPARTS WILL BE PROVIDED.

Q: Find dy/dx and d?y/dx2. x = e', y = te-t dx dy dx2 For which values of t is the curve concave upward...

A: You have posted 2 question we will solve the first question please resubmit the question which you w...

Q: To the right, you are given graphs of the functions f and g. Consider the functions u(x) = f(g(x)), ...

A: Graph of function f and g And functions u(x) = f(g(x)), v(x) = g(f(x)), and w(x) ...

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x + 2...

A: Definition used - Slope of normal - The slope of normal at a point is the ...