1. In each of the ff., find frz; fy, fry, fyx- 2x2 2. f(x,y) = tan

Q: 3. Which of the following is the same as [(z-2)(3z+5)dz? A) [(z-2)dz + [(3z+5)dz B) [ ziz-2fdz+3[zdz…

A: ∫(z-2)(3z+5)dz ∫ (3z2 +5z -6z -10)dz ∫ 3z2dz  - ∫zdz -∫10dz option C is same as given so answer C is…

Q: answer item 2

A: Topic:- limit

Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

A:

Q: १ Ind Sine B/sno=7J85 c)sino=4585 D) sind = S85 %3D 2. Find the lencth o& x. ত্वन्डउन0ी 46.3c84.3…

A: We have to find the solution

Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function.

Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

A:

Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

A:

Q: Use the Quotient Rule to compute:

A:

Q: The following series is divergent: n°-2 Σ 5n4 n =1 Select one: O True O False

A: Here,    an = n5-25n4nSince, there is n in power then root test will solve the problem:   an1n=…

Q: dx 7. S. 9x2+16 tdt 8. S 9. S V25 – 4x²

A:

Q: Find the area of the surface of the half cylinder {(r,0,z): r=6, 0s0Sx, 0szs5} using a parametric…

A:

Q: compute J, f(x)dx 2x if x < 1 f(x) = { 4 if x2 1

A: Given query is to find the value of the integral.

Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

A:

Q: Find the derivative of f (x) = In x- A. В. 1– x2 2 C. x2-1 D. x² +1 E. None of these 1- x2 Given the…

A: To differentiate the given functions.

Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: We have to find the distance

Q: For y = arccot(7 e*) dy da

A:

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: The series 5 n4+ 8 In=17 n++1 is divergent. Select one: O True O False

A: Given query is to find statment is true or false.

Q: (#5) Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A: Let's find.

Q: Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x…

A: Topic:- application of derivatives

Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Solve the following

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

A:

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

A:

Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

Q: Written Works. 1. Find the area bounded by the curve y = x2,y 0, x 1 and x = 2. 2. Find the area…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

A:

Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: The graph of f is shown in the figure to the right. Let A(x)= f(t) dt and F(x) = | f(t) dt be two…

A: Definite integration

Q: 4. Evaluate (10** dx. 1000* 10 -10* +C A) +C In10 In10 10 100 B) 10* +C D) 10* +C In1 In10

A: We can find the integration as below.

Q: Consider the parabola given by the equation: f(x) = 4x° – 10x + 2 Find the following for this…

A:

Q: Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e l = -1…

A: We can answer the questions as below.

Q: Find the area between the curves f(x) and g(x) 2. f(x) = 3x, g(x) = x² – 3x + 8

A: We will find the area between the two curves.

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

A:

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

A:

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

A:

Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

Q: testonvergence and divergene h.

A:

Q: Evalute The Line integral of The Fiel f=xi+zj+yK o ver The helix rz cost i +sintjt tK for osts I

A:

Q: 4 Consider the following geometric series: 2 + 8. 16 + ... Identify a and r, find a formula for the…

A: solution:-2+43+89+1627+...first term, a=2common ratio, r=8943=23general term, an=arn…

Q: y = et + 5 is a solution to the differential equation: y' = y. Select one: O True O False

A: Given, y'=y ⇒y'-y=0

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b). If the…

A: We have to check if Mean value theorem can be applied or not.