Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)
A:
Q: Find the tangent to y = cotx at x = - T O A. y = - 2x + 2 π +1 +1 OB. y=2x-- OC. y=2x+1 OD. y=-2x +…
A:
Q: 3) f(x) = ln(x5 - cos²x) 5) f(x) = xsinx 4) f(x) = x² 1 + x³ 1 6) f(x) = x¹ tan- X
A:
Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…
A: NOTE: Refresh your page if you can't see any equations. . ................upper and lower limits…
Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'
A:
Q: 3
A:
Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule. lim x→0…
A: Evaluate the limit
Q: Find the derivative of the function. y = 2x² +3 x² +1 X y' =
A:
Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2* ? 32
A:
Q: If (x + 1) dx A B S + 2 (x + 2) (x - 1) ² = √ √(x + 2+ = -²1 A (B) O E 1 9 1 9 1 2 9 3 2 3 2/3 None…
A:
Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…
A:
Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…
A:
Q: Solve the equation for solutions in the interval [0, 2). Use algebraic methods and give exact…
A:
Q: Consider the following. Function y = 5e¹-x² (a) Find an equation of the tangent line to the graph of…
A:
Q: 13
A: We have to find out conservative or not
Q: Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0…
A: Here we have to find the limit in step 4.
Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…
A:
Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…
A: To find the points at which the graph of the equation has a vertical or horizontal tangent…
Q: Find the area between the graphs x = X A = sin (5y) and x = 1 - cos (5y) over the interval - ≤ y ≤…
A: The objective of the question is determine the area of the given graph.
Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…
A:
Q: For items 11-25 consider g(x) as defined below. g(x) = 11. I. lim g(x) does not exist. 21-14 II. lim…
A: As per the company guidelines we can solve first question. I hope that the given solution will help…
Q: Find the exact arc length of the curve over the stated interval. y = 9x³/25, from x = 0 to x = 1…
A:
Q: Find the divergence at (15, 0, 0) for the vector field F(x, y, z)= e*sinyi-e cosyj+z²k O 16 O 451 30…
A:
Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr
A: We will solve the integration.
Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…
A: Let's find double derivative of function.
Q: If f(x) = e³x e³x, which equation describes the average value of f(x) over the interval [0, 3]? 1 3…
A: Solve the following
Q: || + 3 вн f(t) dr = 3 f(t) +
A:
Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…
A:
Q: Find the standard form of the equation of the ellipse and give the location of its foci
A: Here we have to find the equation of an ellipse.
Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…
A:
Q: Graph the function by setting the moving points correctly. Provide your answer below: -10 -5 (-3,0)…
A:
Q: Find the partial fraction decomposition of A. B. 1 3 x+1 (x+1) 1 3 +1 (x+1) + 1 1 -2 1.2 x - 2 9…
A: We have to find the partial fraction decomposition.
Q: ich of the following formulas would be used to calculate the trapezoid approximation of Jo 2x dx…
A: Topic:- application of integration
Q: III. Open-e 21. Two lines intersect each other in a circular plane with an equation x² + y² + 4x-6y…
A: Given: the equation of circle is x2+y2+4x-6y=12 and two lines intersect at the center of the circle…
Q: Consider the following. Function у = 5e1 - *2 (a) Find an equation of the tangent line to the graph…
A:
Q: An object is moving along a horizontal line such that its velocity is v(t) = 6t² - 4t. What is the…
A: The objective is to find the displacement between t=0 to t=4.
Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…
A: According to our guideline we are supposed to answer only the first question if you want any…
Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…
A: We have to find the angle
Q: For what values of h are the vectors -7 3 and 2 OA. The vectors are linearly dependent for all h.…
A: The given vectors are -732 and -146h
Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. b. 1 k=1 √k³ -k+1 5n…
A: The given series a) ∑k=1∞1k3-k+1b) ∑n=1∞5nn3+1
Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…
A:
Q: COSINE LAW * A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an…
A: T is the height of the tower. x is the horizontal distance between the tower and the tree. a is the…
Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…
A:
Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==
A:
Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0
A: I am attaching image so that you understand each and every step.
Q: Find the second derivative of the function. f(x) = sec x f"(x)= sec x sec x(sec² + tan² 2 tan²x)…
A:
Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…
A:
Q: a) [² -da rlnr b) √ JI dr √1-² arcsin x c) / 1+ Leide [" 1+424
A:
Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…
A:
Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80
A:
Step by step
Solved in 2 steps with 2 images
- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?For the function f(x)= e^x cos(x^2), find the equation of the tangent line to the graph of f(x) at the point (0, 1). ( I am not really sure whether I have to use the definition of a limit formula or if I can use limit laws to solve, and I think that is where I am getting confused.Suppose that f(x, 0) = 3 for all x ≠ 0 and f(0, y) = 5 for all y ≠ 0. What can you conclude about lim f(x,y)? (x,y)➔ (0,0)
- We determined that l'Hospital's rule applies to the limit lim x→5 x2 − 10x + 25 x2 − 5x . Recall that when l'Hospital's rule applies, it states that lim x→a f(x) g(x) = lim x→a f '(x) g'(x) . Consequently, the next step is to take the derivative of the numerator and the denominator separately. d dx (x2 − 10x + 25) = d dx (x2 − 5x) =What is the limit as x goes to 0 for (e^x-1-x)/x^2?How close to 0 we need to take x so that lnx<10000 and second is, give a possible function f(x) such that lim f(x) exist when x->0 but f(0) does not exist
- 5. Consider the function f(x) = |x| + 2 at x = 0. Provide a table of inputs and outputs that demonstrate the limitdefinition of the derivative, numericallyAccording to the alternate form of the definition of the derivative, to compute f′(0), we need to compute the left-hand limit let f(x)= {-5x^2+5x for x<0 5x^2-2 for x ≥ 0 lim as x approaches to 0 minusCompute the limit as x approaches infinity of x^e-x