1. Find the derivative for each of the following functions Simplify and factor when possible! a) g(x) = 35x-4 b) h(x) = ecosx %3D c) k(x) = x55*

Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1 limx...

Q: 2. Find when f(x) = x²e* has a horizontal tangent.

A:

Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

A:

Q: 2. lim In x x-1 lim In x x-1 lim In x x-1 f(x) X f(x) 0.1 2 0.5 1.5 0.9 1.1 0.999 1.001 0.9999 1.000...

A:

Q: 1. What is the slope of the line tangent to the curve y=x3(x2-3) at x=-1? A. 1/4      B. -1/4      ...

A:

Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

A:

Q: QUESTION 7 Solve the problem. Find the dimensions of the rectangle of largest area that can be inscr...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A: Given

Q: cos x 2. Evaluate lim X0 x cos x lim *+0+ x X cos x lim X0" x f(x) f(x) -1 1 -0.5 0.5 -0.1 0.1 -0.00...

A: The objective is to solve the above question. 

Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1 (...

A:

Q: for power substitution method, next step is zdz . For f (2z+1) u³ (3u²du) (Зи?du) (u³) Option 1 Opti...

A:

Q: 2- 3x +8 2-X2C

A:

Q: Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. no...

A:

Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

A:

Q: x-3 5. ; dx х2-6х-5 B.미x?-6x-5| + c cm +C D. 2 In tar 2 In + C

A:

Q: 1. ADEF = AJKL Solve for the value of y Sy 150 D.

A: Congruency of triangle 

Q: -1 to be continuous at s 1. -1 Define f(1) in a way that extends f(s) (1)=(Type an integer or a simp...

A:

Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.         ...

Q: Find the average value of f(x) over the interval [1, 3]. (3x² + 1)? Enter the exact answer. fave

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Solve simultaneous equation dx/dt=3x+5y , dy/dt=-x-y , x=5 , y=-3

A: We need to solve the given simultaneous equations, dxdt=3x+5ydydt=-x-y at x=5, y=-3

Q: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated axi...

A: Given query is to find the volume of the solid generated.

Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +...

A:

Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: dx 19. J 16+9x² A.ta *() + B. tan-" () + c ccot- () + c D. - cot () +c 12 16

A:

Q: Plane area of rectangle

A:

Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

A:

Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

Q: functions

A: We have to choose the correct option according to the given options

Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

A:

Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: Current Attempt in Progress Use cylindrical shells to find the volume of the solid generated when th...

A: Here, the region is bounded by the curves y=3x-14,y=-3x+4,x=4 is as shown:

Q: How could you find an unknown number missing from a fact triangle?

A:

Q: 1. [a4 In xdx

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

Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

A:

Q: Suppose that f(x) 0 for all a in the interval (-1,1). If lim f(x) = L, then %3D L> 0. For those who ...

A:

Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

A:

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

A:

Q: A. Consider the function whose graph is shown below. Determine if the function is continuous at the ...

A:

Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

A:

Q: Use an appropriate theorem to complete the following statement. If f is differentiable and f(3) < f(...

A:

Q: (C) Desoibe the relationship between the graphs. The graphs of fand are reflections of cach other ac...

A: solution:-f(x)=x3/7(a)y=f(x)=x3/7x=y7/3hence,f-1(x)=x7/3 (b) Graph

Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

A:

Q: dy a a 1+ Vy + 1 5+ aln:

A: First I have used a substitution and make integral easy and then solved it.

Q: 9) S 2 cot 2x cos x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: B. Use the figure at the right. 1. [- 5, - 3) 2. [- 4, - 2] 3. [-1, 2] 4. (3, 5] 5. [1, 4] 4. 3- 2- ...

A: Given