Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (0, t).

Q: tan^4x=tan^2x sec^2x-tan^2x Verify the identity

A: Given:- tan4(x)=tan2(x) sec2(x) - tan2(x) To find:- verify the given identify

Q: Use the Law of Exponents to rewrite and simplify the expression. (a) b°(2b)3 (b) (6y³y4 2y5

A:

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: In 2018, the population of a town was 20, 693 and growing at the constant rate of 56 people per year...

A: Given, Population of town in 2008= 20693 Rate of growth= 56 people/year  

Q: dy (x + 1)+ (x + 2)y = 0 dx Both C and B Integrating Factor - First order Leaner Separable method Ex...

A:

Q: Find Homogeneous DE y'-ay=0

A: Given that: y'-ay=0

Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

A:

Q: A population of bacteria has 1175 bacteria in its starting population. The half-ife of this particul...

A: Given:   Bacteria : 1175     Days : 14

Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:-

Q: * Limits of Polynomial, Rational, & Radical Functions Evaluate the given limits. 1. lim Vx+ 16 X-7

A: Here we have to evaluate the given limit.

Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)...

A:

Q: 3. Find the indicated values. a) f(x) = x³, g(x) = 6. (f°g)(x)? b) f(x) = -2x + 1, g(x) = x², h(x) x...

A:

Q: Find the value of k so that the value of (2y - 1) dy is 10.

A:

Q: Given a function whose graph is shown below. 1 0.5 -5 -4 1 2 -0.5사 -1.5 Determine lim f(x). r--1

A: We have the find the limit of f(x) at x = -1 using the graph of f(x).

Q: rmula to the corresponding graph. 2-

A: We have to choose the correct answer from the given options according to the given information

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is (fg)...

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: What should be the rewrite of the integrand of f dx so that the resulting integral is integrable? x2...

A: solution:-∫2x+52x2dxnow,2x+52x2=4x2+20x+25x2              =4x2x2+20xx2+25x2              =4+20x-1+25...

Q: ff(x) = x2, match each formula to its corresponding graph. the graph in red 1. g(x) = f(-z + 2) +1 t...

A: We have to draw all given graph.

Q: (b) A series RLC circuit is shown in Figure Q4 (b) where R=4Q, L = 0.5H, C=0.1F,E(t) =10 V and i(0) ...

A: we have given a series RLC circuit with a voltage source L=0.5H C=0.1FR =4 ohmE =10 V

Q: b. Let g(x) = x² – 7. Determine the root(s) of g. 7,-7 Preview 7 = 7., – 7 = -7. c. Let h(x) 5x? - 3...

A: Topic = Algebra

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes thr...

A:

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

A:

Q: Find all the values of a such that the given series would converge. (- 1)"z" L 2"(n² + 7) n=1 The se...

A:

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A:

Q: 49. x = f(p) = 950 – 2p – 0.1p - - (A) p = 30 (B) p 50 (C) p = 70 %3D %3D

A: We will use the price demand equation at find the demand is elastic . unit elastic or inelastic.Belo...

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

A:

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y= 2x–y dx

A:

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

A:

Q: Let f(x, y) = (4x – y)". Then a²f даду dxðydx dx²dy

A:

Q: (2x+5)² What should be the rewrite of the integrand of S x² dx so that the resulting integral is int...

A:

Q: y dx *1+x²y², 2у 1 + x?y?/ |dy 2х +

A: The detailed solution is given below Thank you 

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

A:

Q: Consider the following rational function: 1 anx" + an – 1x" + ajx + a0 ... f(x) bmxm + bm – 1xm + .....

A: Recall: Horizontal asymptotes of a rational function : Consider the rational function               ...

Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

A:

Q: 14. Find the antiderivative of 5sinx In 5 cos x .

A: Follow the procedure given below.

Q: Solve the logarithmic equation. In x+ In x = 5 Select the correct choice below and, if necessary, fi...

A:

Q: S (7z³ + 4x²) dx

A:

Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: Use the limit definition to compute the derivative of the function f (x) = 5x- at x = 7. (Use symbol...

A:

Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

A:

Q: Regarding y as the independent variable and æ as the dependent variable, find the- y* + 5x²y² + 4yxª...

A: Given: - The curve is,y4+5x2y2+4yx4-2y=83 at the point (2,1) To find: - The slope of the tangent lin...

Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if l...

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: 5dx 5. If f 4 8 +1 = 2-, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

A: We have to find the value of b

Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

A: