Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1) (x-1) (product Find the points=2001 = (n on the graph where thereS tangent Slope is 0.00014002010 +00. = (25) ab sal= (all +30 dy dx = 4x(x-1) + (2x²+1) Cx 0= 4x² - 4x + 2x² + 1 0 = 6x² - 4x + 1 X = -(-4) ± √(-4) ²-4 (6)(1)_ _4±-√16-24 216) 12 X=4± √√-8 12 * Ans X= NO Point on graph

Q: 1 r+5√√x+6 dr

A:

Q: 1) Which of the points (x, y) does NOT lie on the unit circle? a) O P(0, -1) b) (-3/3, 3/3) R…

A: Given :Equation of unir circle : x2+y2=1

Q: ○y-3 = cx6 + 3²

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 6) at (2,8). The equation of…

A: F(x) = (5x -9)(x+6)  at point (2,8) here we have to find tangent equation  so tangent slope = slope…

Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

A:

Q: In 1991, there were 41,628 shopping centers in a certain country. In 2001, there were 48,434. (a)…

A:

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

A:

Q: 3. Evaluate the definite integral (a) (b) (c) (d) 256 15 15 256 Cr 62 f(x+ (x+2)√x+1 dx.

A:

Q: 9. Let R be the region bounded by r=1-y²₁ x=2 + y²₁ y=-1, and y = 1. Find the volume of the solid…

A:

Q: 15. y = (In x) Inz

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: To find volume V of the body formed by revolving the given region .

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

A:

Q: - If u = 4j – 2k and v = 27 − j + 7k, find || − 3ủ + 5v||. Select one: O 2√230 O 3√373 O 2√373 O…

A:

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Write in sigma notation and evaluate the sum of terms 2¹ for i = 3, 4, 5, 6.

A: Topic = Series

Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

A:

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

A:

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: What is the equivalent limit of Riemann Sum expression of the definite integral So (4-²-x) dx?…

A: Given that,

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: O 2028 (51n 20) O 20…

A:

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

A:

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x intercepts…

A:

Q: If A is a symmetric matrix, then AT OA O AI O diagonal matrix none of the above

A:

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x = (0,π). is:

A: Using Integrating Factor formula:

Q: Find the average rate of change of the function f(x), given below, from x = -2 to x = 5. f(x) = x² +…

A: Topic = Functions

Q: Which one of the following diagram represents: AC CBC a. C. Ό B B B

A:

Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: Using the Limit Laws, find limt→0 (sqrt(t^(2)+9)-3)/(t^(2)). Do not use L'Hospital's Rule. plesase…

A:

Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: This question is based on derivative.

Q: u - If ü = 43 - 2k and = 2 - 3 + 7k, find 3u - 27.

A:

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(e, 1) =

A:

Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

Q: If f(x, y) = x²y + x sin y, then is af dx Select one: 2xy + sin y x² + x cos y ₂2 O O x² + sin y O…

A:

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

A: The given curves are; y=6-x-x2 and x-axis or y=0.   Now find the x-intercept of the the curve…

Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

A:

Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x-axis and the parabola x² +…

A: Graph:

Q: Find the net signed area of ƒ (x) = x - 2 over the interval [0, 6], illustrated in the following…

A:

Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: (i) Determine if the following functions are even, odd, or neither. Show your algebraic…

A: as per our guidelines we can answer only one question hence i am answering question a.), thank you…

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

A:

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

A:

Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

A:

Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

A:

Q: [(x+1)e(x²+2x dx

A: The given integral,         ∫x+1ex2+2xdx

Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

A:

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1