Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5 7-2r+5 dr O dy = 2 (r - 1) In(3)3*-2+5 tan( 3 %3D O dy = 4 (r- 1) In(3)3*-2 -2x+5 tan(3*-2r+5 O (E) None of the choices O dy = (x - 1) ln(9)3- tan(3-2+5)dz -2z+5 %3D O dy = 2 (r- 1) In(3) tan(3-2r+5 *) dz %3D

Q: Resolve the following: x2-x-13 1. (포+7)(x-2)

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: In Exercises, the given vectors form a basis for a subspace W of R or R'. Apply the Gram-Schmidt…

A:

Q: Suppose f(x) = ex, xE[0, 1]. (a) Find the slope of the secant line connecting the points (x, y) =…

A:

Q: What are the two values of k closest to -7 for which , sin2 (x +7)- cos2(x +7) da has a value of 12…

A:

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a…

A:

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Let's find.

Q: 3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds where C is the curve…

A:

Q: Find a parametrization of the line in which the planes x+ y +z= -2 and x + y = - 3 intersed Find the…

A:

Q: (A) Estimate the area under the graph of f(z) = 25 – 22 from z = 0 to a = 5 using 5 approximating…

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-2x. (Use…

A:

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is equal to…

A:

Q: Find and sketch the domain for the function. sin (xy) f(x,y) = y - 36 Find the domain of the…

A: This question is related to Functions, we will solve it using given information.

Q: Evaluate the integral by interpreting it in terms of areas. 49 -x²) dx Need Help? Watch Read it

A: Given :∫-702+49-x2dx

Q: Find the slope of the tangent to the graph of f(x)=x(1-x2) at its point of inflection.

A:

Q: ey 6-2е2у ydy

A:

Q: sec? r, Find the volume of the solid obtained by rotating the region bounded by y = T = 0, x = and y…

A:

Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The objective of the question is determine Mn.

Q: 2л + 3 dx 4г2 — 4х + 5

A:

Q: Given the vector i = (2,0, 1). (a) Solve for the value of a so that u and o= (a, 2, a) form a 60°…

A: Given the vector u→=2, 0, 1.a To solve for the value of 'a' so that u→ and v→=a, 2, a form a 60°…

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

A:

Q: solve 4cos^2(x)-13cos(x)-12=0 for all solutions 0<=x<2pie

A: We can find the solution as below.

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: 4x +2 lim x→∞ x-7 f) Evaluate:

A:

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms of r.

A: Given that total volume Volume of cylinder+volume of cuboid=30 πr^2 ×h + 2r ×2r ×r =30 πr^2 × h…

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the…

A:

Q: Basic Coatalus 1. f(x) - f(xth) = 5(x +h) - 3 Sx - 3 lim 5(x+h)-3 [5x-31 56 +5h -3 - 5% +½ 1. lim…

A:

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Given H=-29.53+1.073t2-0.2233t2 logt Here H  is head circumference Na t is the age function now,…

Q: The derivative of a fraction (that is, the quotient obtained by the division of two functions) is…

A:

Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find the curve's unit tangent vector. T(t) = Di+Dj+Ok

A:

Q: Find the first five non-zero terms of Taylor series centered at x = 5 for the function below. f(x) =…

A: To find the first five non‐zero terms of Taylor series centered at x=5 for the function given…

Q: Suppose f(x) = 10 (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum…

A:

Q: Solve the initial value problem for r as a vector function of t. dr 9 Differential Equation: diz+…

A:

Q: 2ª + e2" sin(2ª) dx sin(2ª)

A:

Q: d 1 Use (x)= .- 1 to find the derivative of the inverse at the indicated point. dx 1 d -1 Let f(x) =…

A:

Q: 1. Find the area bounded by the parabolas y? = 4 and y²+12x = 36 2. Find the Area bounded by the…

A: Given :     Curves and find area by integration

Q: .9

A:

Q: Find the derivative of the function at P, in the direction of A. f(x.y.z) = xy + yz + zx, Po(1, -…

A: Given :   f(x, y, z)=xy+yz+zx P(1,-1,3)

Q: 4. Find the moving trihedral of the curve f(t) at the indicated value: †(t) = cos? t î + sin² t ĵ…

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: Let's find.

Q: Question 5 The approximate value of -31.8 using linear approximation, imaginary O (E) None of the…

A:

Q: Evaluate the integral [[(3t) i + (9) j+ (5t + 3) k] dt. 1 J[(3*) i + (9) j+ (5t + 3) k] dt = (O i+…

A: We can solve as follows

Q: I need answer within 20 minutes please please with my best wishes

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: dx 3. I 32x 4. J sin x tan x dx dy 5. J gy²+6y+5

A:

Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

A:

Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Let f(x) - 16. The arc length of the graph of f(x) over the interval [5, 9] is given by the definite…

A:

Q: Use the substitution u = 4x2 +1 to convert the integral fo ret+1 dx to an integral of the form Sº…

A: