Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Upload your paper in the next question. The slope of the tangent line, rounded to the nearest hundredth, is

Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: iv. An = In(n + In n

A:

Q: When a cake is removed from an oven, its temperature is 375°. The cake is placed in a room with a co...

A: Topic:- Calculus

Q: (2z+1 if z < 3 (10-z if z 2 3* 3. f(z) = a.7 (2z+1 if z<3 4. f(z) = 110 – zif z 2 3 a. 7 S2z +1 if z...

A:

Q: A' + BT

A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT

Q: Using the graph of g(x) below, answer the following questions. 1.0 E4 a) Where is g(x) > 0 ? (Enter ...

A:

Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0 ...

A:

Q: III. Use the nth-Term Test for divergence to show that 00 n +10 n=1 is divergent, or state that the ...

A:

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

A:

Q: Find derivative: (b) y= -3 -3x4

A:

Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2. ...

A: V(t) = d[x(t)]/dt Put, v(t) &gt; 0.

Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

A:

Q: Find the point on the graph of f (x) = (3x + 9)/x + 2# (x > 0) at which the tangent line is horizont...

A:

Q: Determine whether the integral is convergent or divergent. 33 9(x – 1)-1/5 dx convergent O divergent...

A:

Q: x2n+1 Given the Maclaurin series for sin x is sin x = E=0(-1)". find the Maclaurin %3D (2n+1)!' seri...

A:

Q: (h = 0.1) (h = 0.05) У(1.2) ~ У(1.2) ~

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: (a) What is the relative growth rate? Express your answer as a percentage. (b) What was the intitial...

A: Follow the procedure given below.

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please r...

Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

Q: Find the open intervals on which the function f (x) = x + 6/4 - x is increasing or decreasing. If th...

A:

Q: Mr. Ed Panem (GCOE) is tasked to schedule the final examinations for SUBJECT A, SUBJECT B, SUBJECT C...

A: Given: Total subjects=8Subjects name=A, B, C, D, E, F,G, HStudents are not taking both=AH, BH, DE, D...

Q: Exact Differential Equations (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y? – 5)dx + (3x2 + 4xy – 6)d...

A: First I have written the definition of exact differential equation and it's solution rule, just use ...

Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...

Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

A:

Q: IT sin't cos*t d t

A:

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: e' sin 0 dy 8. de 7.3:8 Solve the differential equation y sec 0

A:

Q: y = In (sin x²)

A:

Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) C:...

A:

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

A:

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: 13 – 2r dx 1.

A:

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to...

A:

Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Find an equation in cylindrical coordinates for the rectangular equation = x² + y² – 6 Entry Tip #1:...

A:

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

A:

Q: q7

A: We will solve the Differential equation. 

Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

Q: the given expression x^2 - 3x + 4 is equal to. SUBMIT YOUR SOLUTION O 2ty - 2)^2 + 2 O 4(2x - 1)^2 +...

A:

Q: 3. Find the exact value of each trigonometric function. cos-1 cot

A:

Q: iv. an n!

A: The detailed solution is given below Thank you 

Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

A:

Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A:

Q: Let R be the region between the graphs y = x² and y = 2 – æ for 0 < x < 1. The area of R is 7 and th...

A: Given :

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...