프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1 c)클 미3x + 21-tanx + C

Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

Q: Find the product of the two matrices. Give me two answers at each number letter for the A.B and B.A

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Suppose f(x) = ex, xE[0, 1]. (a) Find the slope of the secant line connecting the points (x, y) =…

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Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Write the Taylor series for f(r) = a about z = 4 as en(x-4)". %3D Find the first five coefficients.…

A: The Taylor Series of f(x)= x3 with center a=4

Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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Q: dz dz and ду IV. Suppose z is a function of x and y, and tan Vy? + x² = z"e©y. Solve for

A: We have to Solve as per given conditions.

Q: V. ASSESSMENT (Time Frame: (Learning Activity Sheets for Enrichment, Remediation, or Assessment to…

A: Given

Q: Q3: A. By power series, prove that: d Cosx = -sinx dx B. Find the value of x for which Inx + (Inx)²…

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Q: Question 7 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: This question is related to volume of spheres, we will solve it using given information.

Q: Use Ring Method Rotate the region bounded by x = (y – 3)2 and x = 16 about the x = -5.

A: Let's find.

Q: G'(0), where G(r) =| e * dt

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Q: 2) Consider the function g defined by (7x/y)+ glx, y) • COS log3 (x-y) la) determine дудх

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Q: Find 8. L-1 s²+4s+20 CamScanner

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A: Let's find.

Q: Cx)= Ex> is add even?

A: We need to determine if the function is even or odd.

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x², a = 2 A. P3(x) = 1 +8(x- 2) +…

A: Let's find.

Q: Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume…

A: See the solution in below

Q: 9–x² x2

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Q: cos(3x) dx

A: answer is in next step

Q: Use the substitution u = 4x2 +1 to convert the integral fo ret+1 dx to an integral of the form Sº…

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Q: Write the sum using sigma notation: -3+5 + - 7+...+- 17 Σ i = 1

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Q: Activity 2. Answer the given problem. The population P(t) of a bacterial colony t hours after…

A: We have to find population of bacteria at t=12 hours.

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Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A: We have to find the inverse laplace transform.

Q: Find the curve's unit tangent vector. T(t) = Di+Dj+Ok

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Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: 1. Find the area bounded by the parabolas y? = 4 and y²+12x = 36 2. Find the Area bounded by the…

A: Given :     Curves and find area by integration

Q: dx, n = 5 x2 M5 = Need Help? Read It

A: Midpoint rule

Q: can you write it out on paper I cannot understand this typing format

A: Let's find.

Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

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Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 7.3 cm/s?…

A: As we know that; The diagonal length of the cube is: L=3a Where a is the edge of the cube. And The…

Q: Find * L-1{ 52-4s+13

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Q: Consider the integral + 2) dr (a) Find the Riemann sum for this integral using right endpoints and n…

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Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: We will differntiate, and find the values.

Q: .9

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Q: Find T, N, and k for the space curve r(t) = (16 sin t) i + (16 cos t) j+ 12t k. T(1) = (D i+ (O j+…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

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Q: n) Given that SinX=2/7, and X is in quadrant 2, find all 6 trig values of x

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Q: Solve ſ 8x cos(7x) dx using Integration by Parts.

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Q: Given f(x) = (2x – 3)' (x +1). Determine (if any) (i) Critical point(s) for f(x), (ii) The interval…

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Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

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Q: Evaluate the following integrals. 29 – 49 dy 2+ 49 а.

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Q: Find the Taylor series generated by f at x= a. f(x) = -, 1 a = 3 X (x- 3)" Ο Α Σ 3" OA. n =0 (x –…

A: We have to find the Taylor's series for given function at a=3 . For this all order derivatives of f…

Q: Find the rate of change of the surface area of the cube when the volume is 8 cm". A block of ice in…

A: